JPS62168067A - Measuring method for resistance value - Google Patents
Measuring method for resistance valueInfo
- Publication number
- JPS62168067A JPS62168067A JP899986A JP899986A JPS62168067A JP S62168067 A JPS62168067 A JP S62168067A JP 899986 A JP899986 A JP 899986A JP 899986 A JP899986 A JP 899986A JP S62168067 A JPS62168067 A JP S62168067A
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- terminal
- constant current
- resistor
- voltage
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- 238000000034 method Methods 0.000 title claims description 11
- 238000010586 diagram Methods 0.000 description 16
- 238000005259 measurement Methods 0.000 description 13
- 230000000694 effects Effects 0.000 description 3
- 101150076458 ILI2 gene Proteins 0.000 description 2
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 2
- 239000003795 chemical substances by application Substances 0.000 description 2
- 239000002131 composite material Substances 0.000 description 2
- 238000009792 diffusion process Methods 0.000 description 2
- 238000000691 measurement method Methods 0.000 description 2
- 102220163582 rs749978636 Human genes 0.000 description 2
- 229910052710 silicon Inorganic materials 0.000 description 2
- 239000010703 silicon Substances 0.000 description 2
- 239000000758 substrate Substances 0.000 description 2
- 102220198702 rs117256383 Human genes 0.000 description 1
- 102200148790 rs121909281 Human genes 0.000 description 1
- 230000002269 spontaneous effect Effects 0.000 description 1
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Abstract
Description
【発明の詳細な説明】
〔産業上の利用分野〕
本発明は抵抗回路網中の各抵抗の抵抗値を測定する方法
に関するものである。DETAILED DESCRIPTION OF THE INVENTION [Field of Industrial Application] The present invention relates to a method of measuring the resistance value of each resistor in a resistor network.
抵抗回路網中の各抵抗の抵抗値測定は、通常各抵抗を個
々に切り離して行われる。The resistance value of each resistor in the resistor network is usually measured by separating each resistor individually.
しかし、たとえばシリコン基板中に拡散技術によって抵
抗回路網が形成されているような１チ・ノブ抵抗回路網
の場合には、抵抗を個々に切り離すことができないため
、各抵抗の抵抗値を個々に測定することは極めて困難で
あった。However, in the case of a single-chnob resistor network, such as one in which the resistor network is formed in a silicon substrate by diffusion technology, it is not possible to separate the resistors individually, so the resistance value of each resistor cannot be determined individually. It was extremely difficult to measure.
本発明の抵抗値測定方法は上記問題点に鑑みてなされた
ものであり、第１の端子と第３の端子との間に第１の抵
抗および第２の抵抗とからなる直列回路と第３の抵抗と
が並列に接続され第１の抵抗と第２の抵抗との接続点に
第２の端子が接続されている三端子抵抗回路網において
、第１の端子と第３の端子との間に第１の定電流を供給
する第１の定電流源を接続して各端子間の電圧を測定し
、ついで第２の端子と第３の端子との間に第２の定電流
を供給する第２の定電流源を接続して各端子間の電圧を
測定し、第１および第２の定電流値および各端子間電圧
値から第１および第２の抵抗の抵抗値を演算により算出
するものである。また、第１の端子と第３の端子との間
に第１の抵抗および第２の抵抗とからなる直列回路と第
３の抵抗および第４の抵抗からなる直列回路とが並列に
接続され第１の抵抗と第２の抵抗との接続点に第２の端
子が接続され第３の抵抗と第４の抵抗との接続点に第４
の端子が接続されている四端子抵抗回路網において、第
１の端子と第３の端子との間に第１の定電流を供給する
第１の定電流源を接続して各端子間の電圧を測定し、つ
いで第２の端子と第４の端子との間に第２の定電流を供
給する第２の定電流源を接続して各端子間の電圧を測定
し、第１および第２の定電流値および各端子間電圧値か
ら第１および第２の抵抗の抵抗値を演算により算出する
ものである。The resistance value measuring method of the present invention has been made in view of the above problems, and includes a series circuit consisting of a first resistor and a second resistor, and a third resistor connected between the first terminal and the third terminal. between the first terminal and the third terminal in a three-terminal resistance network in which the resistors are connected in parallel and the second terminal is connected to the connection point of the first resistor and the second resistor. A first constant current source supplying a first constant current is connected to measure the voltage between each terminal, and then a second constant current is supplied between the second terminal and the third terminal. A second constant current source is connected to measure the voltage between each terminal, and the resistance values of the first and second resistors are calculated from the first and second constant current values and the voltage values between each terminal. It is something. Further, a series circuit including a first resistor and a second resistor and a series circuit including a third resistor and a fourth resistor are connected in parallel between the first terminal and the third terminal. A second terminal is connected to the connection point between the first resistor and the second resistor, and a fourth terminal is connected to the connection point between the third resistor and the fourth resistor.
In a four-terminal resistor network in which the terminals of are connected, a first constant current source that supplies a first constant current is connected between the first terminal and the third terminal to determine the voltage between each terminal. Then, a second constant current source that supplies a second constant current is connected between the second terminal and the fourth terminal to measure the voltage between each terminal, and the voltage between the first and second terminals is measured. The resistance values of the first and second resistors are calculated from the constant current value and the voltage value between each terminal.
定電流源の電流値および接続端子に応じた電圧が各端子
間に発生する。A voltage is generated between each terminal depending on the current value of the constant current source and the connection terminal.
以下、実施例と共に本発明の詳細な説明する。 Hereinafter, the present invention will be described in detail along with examples.
第９図は一般的な抵抗回路網を示す回路図であり、この
抵抗回路網は注目している抵抗以外を合成抵抗で表わす
ことにより、第１０図の回路図のような最小単位に置き
換えることができる。すなわち、注目している抵抗をＲ
ＬＲ２とし、それ以外の抵抗による合成抵抗をＲとし、
端子１と端子３との間に抵抗Ｒ１，ｌ！：Ｒ２からなる
直接回路と抵抗Ｒとが並列に接続され、抵抗Ｒ１とＲ２
の接続点に端子２が接続されている三端子回路網となっ
ている。Figure 9 is a circuit diagram showing a general resistor network, and this resistor network can be replaced with the minimum unit as shown in the circuit diagram in Figure 10 by representing the resistor other than the resistor of interest as a composite resistance. I can do it. In other words, the resistance of interest is R
Let LR2 be the combined resistance of other resistances,
A resistor R1,l! is connected between terminal 1 and terminal 3! :The direct circuit consisting of R2 and the resistor R are connected in parallel, and the resistors R1 and R2
The terminal 2 is connected to the connection point of the three-terminal circuit network.
この三端子回路網において、まず、第１図に示すように
端子１と端子３との間に定電流源５を接続する。定電流
源５からは定電流■、が供給され、矢印Ａ、Ｂのように
回路網内を流れる。そして、このときの端子１と端子２
の間に発生する電圧（Ｖ＋ｚ）＋、端子２と端子３との
間に発生する電圧（ＶＺ：ｌ）ｌおよび端子１と端子３
との間に発生する電圧（■１３）ｌをそれぞれ測定する
。ついで、定電流源５を取り外し、第２図に示すように
端子２と端子３との間に定電流源６を接続する。定電流
源６からは定電流１□が供給され、矢印Ｃ，Ｄのように
回路網内を流れる。そして、このときの端子２と端子３
との間に発生する電圧（ＶＺ３）２および端子１と端子
３との間に発生する電圧（Ｖ１３）２をそれぞれ測定す
る。なお、以後随時記載される「（Ｖａｂ）ｃＪの表示
はｃ（＝１ｏｒ２）回目における端子ａと端子すとの間
の電圧を示す。In this three-terminal circuit network, first, a constant current source 5 is connected between terminals 1 and 3 as shown in FIG. A constant current (2) is supplied from the constant current source 5 and flows through the circuit network as indicated by arrows A and B. Then, terminal 1 and terminal 2 at this time
(V+z)+, the voltage generated between terminals 2 and 3 (VZ:l)l, and the voltage generated between terminals 1 and 3.
Measure the voltage (13)l generated between the two. Next, the constant current source 5 is removed, and a constant current source 6 is connected between the terminals 2 and 3 as shown in FIG. A constant current 1□ is supplied from the constant current source 6 and flows through the circuit network as shown by arrows C and D. Then, terminal 2 and terminal 3 at this time
The voltage (VZ3) 2 generated between terminals 1 and 3 and the voltage (V13) 2 generated between terminals 1 and 3 are respectively measured. Note that "(Vab)cJ", which will be described from time to time, indicates the voltage between terminal a and terminal S at the c (=1 or 2)th time.
つぎに、定電流源５．６の電流値ＩＬＩ２および測定電
圧（Ｖ＋□Ｌ、（Ｖｚ＋）＋、（Ｖ＋ｚ）＋、（Ｖｚ：
＋）ｚ。Next, the current value ILI2 of the constant current source 5.6 and the measured voltage (V+□L, (Vz+)+, (V+z)+, (Vz:
+)z.
（ＶＩ３）２を、下記の（７）式および（８）式に代入
して抵抗値Ｒ，およびＲ２を算出する。(VI3) 2 is substituted into the following equations (7) and (8) to calculate the resistance values R and R2.
ここで、（７）式および（８）式の導入について説明す
る。Here, introduction of equations (7) and (8) will be explained.
まず、第１ステツプの測定から
が成り立つ。したがって、（１）式および（２）弐から
、
が成り立つ。First, the first step is the measurement. Therefore, from equation (1) and (2), the following holds true.
また、第２ス、テップの測定から が成り立ち、（４）弐および（５）式から、Ｒ，Ｒ が成り立つ。Also, from the second step, the measurement holds true, and from equations (4) and (5), R, R holds true.
（２） Ｘ （Ｖｌｚ）ｚ （５） Ｘ
（ＶＩ３Ｌより１＋ Ｘ （Ｖ＋＋）ｚ Ｉｚ
Ｘ （Ｖｌ：ＩＬ＝ ［（Ｖｌｚ）ｚＸ （Ｖ２
３Ｌ （Ｖｌ３）ＩＸ （Ｖｚｚ）ｚｌゆえに、
（３）式と（７）式より
（Ｖ＋□）Ｉ
（ＶＺ３Ｌ
（Ｖｌｓ＞ｔ×（ＶＺ３）ｌ （Ｖｌｆｆ）ＩＸ
（ＶＺ３）２なお、本実施例では（Ｖｌ３）Ｉを実測
したが、（Ｖ ｌ：ｌ） Ｉ ＝ （Ｖ Ｉ□Ｌ＋ （
Ｖｚ＋）＋の関係から算出することができる。(2) X (Vlz)z (5) X
(1+ X (V++)z Iz from VI3L
X (Vl:IL= [(Vlz)zX (V2
3L (Vl3)IX (Vzz)zl Therefore, from equations (3) and (7), (V+□)I (VZ3L (Vls>t×(VZ3)l (Vlff)IX
(VZ3)2 In this example, (Vl3)I was actually measured, but (V l:l) I = (V I□L+ (
It can be calculated from the relationship of Vz+)+.
また、（Ｖｌｚ）ｚの測定に代えて（Ｖｌｚ）ｚを測定
すれば、
（Ｖｌｚ）ｚ＝ （ＶＺ３）２ （Ｖｌ２）２の関係
から算出することができる。Moreover, if (Vlz)z is measured instead of measuring (Vlz)z, it can be calculated from the relationship (Vlz)z=(VZ3)2 (Vl2)2.
つぎに、第２の実施例を説明する。第９図の一般的な抵
抗回路網は第３図の回路図のようにも置き換えることが
できる。すなわち、注目している抵抗をＲ１，Ｒ２，Ｒ
３とし、それ以外の抵抗による合成抵抗をＲ４とし、端
子ｌと端子３との間に抵抗Ｒ１およびＲ２からなる直列
回路と抵抗Ｒ３および抵抗Ｒ４とからなる直列回路とが
並列に接続され、抵抗Ｒ，とＲ２の接続点に端子２が接
続され、抵抗Ｒ３と抵抗Ｒ４の接続点に端子４が接続さ
れている四端子抵抗回路網となっている。Next, a second embodiment will be explained. The general resistor network shown in FIG. 9 can also be replaced with the circuit diagram shown in FIG. In other words, the resistances of interest are R1, R2, R
3, and the combined resistance of other resistors is R4, and a series circuit consisting of resistors R1 and R2 and a series circuit consisting of resistors R3 and R4 are connected in parallel between terminal l and terminal 3, and the resistor Terminal 2 is connected to the connection point between R and R2, and terminal 4 is connected to the connection point between resistor R3 and resistor R4, forming a four-terminal resistance network.
この四端子抵抗回路網において、まず、第４図に示すよ
うに端子１と端子３との間に定電流源５を接続する。定
電流源５からは定電流Ｉ、が供給され、矢印Ａ、Ｂのよ
うに回路網内を流れるので、このときの端子１と端子２
の間に発生する電圧（Ｖ＋□）１、端子２と端子３との
間に発生する電圧（ＶＺ：ｌ）Ｉ、端子３と端子４との
間に発生する電圧（■１４Ｌおよび端子１と端子４との
間に発生する電圧（Ｖｌ４）ｌをそれぞれ測定する。つ
いで、定電流源５を取り外し、第５図に示すように端子
２と端子４との間に定電流源６を接続する。定電流源６
からは定電流■２が供給され、矢印Ｃ，Ｄのように回路
網内を流れる。そして、このときの端子１と端子２の間
に発生する電圧（Ｖ＋□）２、端子２と端子３との間に
発生する電圧（Ｖｚ３）ｚ、端子３と端子４との間に発
生する電圧（Ｖ３４）！および端子１と端子４との間に
発生する電圧（Ｖｌ４）２をそれぞれ測定する。In this four-terminal resistance network, first, a constant current source 5 is connected between terminals 1 and 3 as shown in FIG. A constant current I is supplied from the constant current source 5 and flows through the circuit network as shown by arrows A and B.
Voltage generated between (V+□) 1, voltage generated between terminal 2 and terminal 3 (VZ:l) I, voltage generated between terminal 3 and terminal 4 (■14L and terminal 1 and Measure the voltage (Vl4)l generated between terminal 4. Next, remove constant current source 5 and connect constant current source 6 between terminal 2 and terminal 4 as shown in FIG. . Constant current source 6
A constant current (2) is supplied from the circuit and flows through the circuit network as shown by arrows C and D. At this time, the voltage (V+□)2 generated between terminals 1 and 2, the voltage (Vz3)z generated between terminals 2 and 3, and the voltage generated between terminals 3 and 4. Voltage (V34)! and the voltage (Vl4)2 generated between terminal 1 and terminal 4 are measured.
つぎに、定電流［５，６の電流値ＩＬＩ２および測定電
圧（Ｖ＋□）Ｉ、（ＶＺ３）ｌ、（Ｖ３４）Ｉ、（Ｖｌ
４）ｌ。Next, constant current [5, 6 current value ILI2 and measurement voltage (V+□)I, (VZ3)l, (V34)I, (Vl
4)l.
（Ｖｌ２）２．（ＶＺ３）２．（Ｖ：＋４）２．（Ｖｌ
４）Ｚを、下記の（１１）式ないしく１４）弐に代入し
て抵抗値Ｒ，〜Ｒ４を算出する。(Vl2)2. (VZ3)2. (V:+4)2. (Vl
4) Substitute Z into equations (11) to 14) 2 below to calculate resistance values R, to R4.
導かれる。すなわち、まず、第１ステツプの測定ＲＩ
Ｒ４
Ｒ２Ｒ３
Ｒ２Ｒ４
が成り立つ。したがって、（１６）式および（１７）式
から、
が成り立ち、
（１５）式および（１７）式から、
が成り立つ。be guided. That is, first, the measurement RI of the first step is
R4 R2R3 R2R4 holds true. Therefore, from equations (16) and (17), the following holds true, and from equations (15) and (17), the following holds true.
また、第２ステツプの測定から
が成り立つ。したがって、（２２）式および（２３）式
から、
が成り立ち、
（２１）式および（２３）式から、
が成り立つ。It also consists of the second step of measurement. Therefore, from equations (22) and (23), the following holds true, and from equations (21) and (23), the following holds true.
（１７）Ｘ （Ｖ：＋ａ）ｚ （２３）Ｘ （
Ｖ：１４ＬよりＩｔ Ｘ （ｖ＋４−）ｚ −Ｉｚ
Ｘ （Ｖ３４Ｌゆえに、
Ｉｔ Ｘ （Ｖ３４）２ −１２ Ｘ （Ｖ３４）１こ
れは、上述の（１１）式に他ならない。同様にして（１
２）弐〜（１４）式も導くことができる。(17)X (V:+a)z (23)X (
V: From 14L It X (v+4-)z -Iz
X (V34L, so It X (V34)2 −12
2) Equations (14) can also be derived.
なお、Ｒ２は（１９）式と（１１）式より、（Ｖ＋ｚＬ
（Ｖｚ＋Ｌ
と書ける。また、Ｒ４は（２０）式と（１３）式より、
（Ｖ１４Ｌ
（Ｖ ３４） １
と書ける。したがって、（１２）式および（１４）式に
代えて（２７）式および（２８）式を用いれば、電圧（
ＶＺ３）！および電圧（ＶＩ４）２の測定を省略するこ
とができる。In addition, R2 can be written as (V+zL (Vz+L) from equations (19) and (11). Also, R4 can be written as (Vz+L) from equations (20) and (13).
(V14L (V 34) 1 ) Therefore, if we use formulas (27) and (28) in place of formulas (12) and (14), the voltage (
VZ3)! and measurement of voltage (VI4)2 can be omitted.
なお、第３図に示す四端子抵抗回路網に対して第１の実
施例に示した三端子抵抗回路網における抵抗値測定方法
を定電流源の接続端子の組み合わせを替えて２回路通用
しても、Ｒ１−Ｒ４を測定することができる。すなわち
、定電流源５および６をそれぞれ第６図および第７図の
ように接続すれば、Ｒ３＋Ｒ４をＲとして（７）式およ
び（８）式からそれぞれ抵抗Ｒ２およびＲ１を算出する
ことができる。同様に、定電流源５および６をそれぞれ
第６図および第８図のように接続すれば、抵抗Ｒ３およ
びＲ４を算出することができる。Note that the method for measuring the resistance value in the three-terminal resistor network shown in the first embodiment can be applied to the four-terminal resistor network shown in FIG. 3 by changing the combination of the connection terminals of the constant current source for two circuits. Also, R1-R4 can be measured. That is, if the constant current sources 5 and 6 are connected as shown in FIGS. 6 and 7, respectively, the resistances R2 and R1 can be calculated from equations (7) and (8), respectively, with R3+R4 as R. Similarly, resistances R3 and R4 can be calculated by connecting constant current sources 5 and 6 as shown in FIGS. 6 and 8, respectively.
以上説明したように本発明によれば、被測定回路に対し
て電流値および接続端子を変えて定電流を２回供給し、
定電流供給時に各端子間に発生する電圧を測定するだけ
で、以後は演算により被測定回路の個々の抵抗の抵抗値
を算出することができる。したがって、抵抗を個々に切
り離すことができない１チツプ抵抗回路網のような場合
にも、各抵抗の抵抗値を容易に測定することができる。As explained above, according to the present invention, a constant current is supplied to the circuit under test twice by changing the current value and the connection terminal,
By simply measuring the voltage generated between each terminal when a constant current is supplied, the resistance value of each resistor of the circuit under test can be calculated by calculation. Therefore, even in the case of a one-chip resistor network where the resistors cannot be separated individually, the resistance value of each resistor can be easily measured.
第１図および第２図はそれぞれ本発明の第１の実施例を
説明するための回路図、第３図、第４図および第５図は
それぞれ本発明の第２の実施例を説明するための回路図
、第６図、第７図および第８図はそれぞれ第３の実施例
を説明するための回路図、第９図は一般的な抵抗回路網
を示す回路図、第１０図は第１の実施例における三端子
回路網を示す回路図である。
１〜４・・・端子、５，６・・・定電流源、Ｒ１−Ｒ４
およびＲ・・・抵抗。
特許出願人 山武ハネウェル株式会社
代 理 人 山川 政権（ばか２名）
第１図 第２図
第３図
第４図 第５図
第６図 第７図
第８図 第９図
第１０図
手続補正書（自発）
１、事件の表示
昭和６１年 特 許 願第８９９９号
２、発明の名称
抵抗値測定方法
３、補正をする者
事件との関係 特 許 出願人名称（氏名）
（６６６）山武ハネウェル株式会社（２）図面のＷｃ
３図を別紙の通り補正する。
明 細 書
１、発明の名称
抵抗値測定方法
２、特許請求の範囲
（１）第１の端子と第３の端子との間に第１の抵抗およ
び第２の抵抗とからなる直列回路と第３の抵抗とが並列
に接続され第１の抵抗と第２の抵抗との接続点に第２の
端子が接続されている三端子抵抗回路網において、第１
の端子と第３の端子との間に第１の定電流を供給する第
１の定電流源を接続して各端子間の電圧を測定し、つい
で第２の端子と第３の端子との間に第２の定電流を供給
する第２の定電流源を接続して各端子間の電圧を測定し
、第１および第２の定電流値および各端子間電圧値から
第１および第２の抵抗の抵抗値を演算により算出するこ
とを特徴とする抵抗値測定方法。
（２）第１の端子と第３の端子との間に第１の抵抗およ
び第２の抵抗とからなる直列回路と第３の抵抗および第
４の抵抗からなる直列回路とが並列に接続され第１の抵
抗と第２の抵抗との接続点に第２の端子が接続され第３
の抵抗と第４の抵抗との接続点に第４の端子が接続され
ている四端子抵抗回路網において、第１の端子と第３の
端子との間に第１の定電流を供給する第１の定電流源を
接続して各端子間の電圧を測定し、ついで第２の端子と
第４の端子との間に第２の定電流を供給する第２の定電
流源を接続して各端子間の電圧を測定し、第１および第
２の定電流値および各端子間電圧値から第１および第２
の抵抗の抵抗値を演算により算出することを特徴とする
抵抗値測定方法。
３、発明の詳細な説明
〔産業上の利用分野〕
本発明は抵抗回路網中の各抵抗の抵抗値を測定する方法
に関するものである。
〔従来の技術〕
抵抗回路網中の各抵抗の抵抗値測定は、通常各抵抗を個
々に切り離して行われる。
〔発明が解決しようとする問題点〕
しかし、たとえばシリコン基板中に拡散技術によって抵
抗回路網が形成されているような１チツプ抵抗回路網の
場合には、抵抗を個々に切り離すことができないため、
各抵抗の抵抗値を個々に測定することは極めて困難であ
った。
〔問題点を解決するための手段〕
本発明の抵抗値測定方法は上記問題点に鑑みてなされた
ものであり、第１の端子と第３の端子との間に第１の抵
抗および第２の抵抗とからなる直列回路と第３の抵抗と
が並列に接続され第１の抵抗と第２の抵抗との接続点に
第２の端子が接続されている三端子抵抗回路網において
、第１の端子と第３の端子との間に第１の定電流を供給
する第１の定電流源を接続して各端子間の電圧を測定し
、ついで第２の端子と第３の端子との間に第２の定電流
を供給する第２の定電流源を接続して各端子間の電圧を
測定し、第１および第２の定電流値および各端子間電圧
値から第１および第２の抵抗の抵抗値を演算により算出
するものである。また、第１の端子と第３の端子との間
に第１の抵抗および第２の抵抗とからなる直列回路と第
３の抵抗および第４の抵抗からなる直列回路とが並列に
接続され第１の抵抗と第２の抵抗との接続点に第２の端
子が接続され第３の抵抗と第４の抵抗との接続点に第４
の端子が接続されている四端子抵抗回路網において、第
１の端子と第３の端子との間に第１の定電流を供給する
第１の定電流源を接続して各端子間の電圧を測定し、つ
いで第２の端子と第４の端子との間に第２の定電流を供
給する第２の定電流源を接続して各端子間の電圧を測定
し、第１および第２の定電流値および各端子間電圧値か
ら第１および第２の抵抗の抵抗値を演算により算出する
ものである。
〔作用〕
定電流源の電流値および接続端子に応じた電圧が各端子
間に発生する。
〔実施例〕
以下、実施例と共に本発明の詳細な説明する。
第９図は一般的な抵抗回路網を示す回路図であり、この
抵抗回路網は注目している抵抗以外を合成抵抗で表わす
ことにより、第１０図の回路図のような最小単位に置き
換えることができる。すなわち、注目している抵抗をＲ
１，Ｒｚとし、それ以外の抵抗による合成抵抗をＲとし
、端子１と端子３との間に抵抗Ｒ１とＲ２からなる直列
回路と抵抗Ｒとが並列に接続され、抵抗ＲＩとＲ２の接
続点に端子２が接続されている三端子回路網となってい
る。
この三端子回路網において、まず、第１図に示すように
端子１と端子３との間に定電流源５を接続する。定電流
源５からは定電流Ｉｔが供給され、矢印Ａ、Ｂのように
回路網内を流れる。そして、このときの端子１と端子２
の間に発生する電圧（Ｖ＋□）８、端子２と端子３との
間に発生する電圧（ＶＺ３）Ｉおよび端子１と端子３と
の間に発生する電圧（Ｖ＋ｆｆＬをそれぞれ測定する。
ついで、定電流源５を取り外し、第２図に示すように端
子２と端子３との間に定電流源６を接続する。定電流源
６からは定電流Ｉ２が供給され、矢印Ｃ，Ｄのように回
路網内を流れる。そして、このときの端子２と端子３と
の間に発生する電圧（Ｖｚ＋）ｚおよび端子１と端子３
との間に発生する電圧（’ｌ／＋＋）ｚをそれぞれ測定
する。なお、以後随時記載される「（Ｖａｂ）ｃｌの表
示はｃ（−１ｏｒ２）回目の測定における端子すに対す
る端子ａの電位を示す。
つぎに、定電流源５，６の電流値１１＋Ｉ２および測定
電圧（Ｖ＋□Ｌ＋（Ｖｚ３）＋、（Ｖ＋ｚ）＋、（Ｖｚ
ｚ）ｚ＋（Ｖ＋ｓ）ｚを、下記の（７）式および（８）
式に代入して抵抗値Ｒ３およびＲ２を算出する。
ここで、（７）式および（８）式の導入について説明す
る。
まず、第１ステツプの測定から
が成り立つ。したがって、（１）式および（２）式から
、
Ｒ，Ｒｚ
が成り立つ。
また、第２ステツプの測定から
が成り立ち、（４）式および（５）式から、Ｒ，Ｒ
が成り立つ。
（２） ｘ （ＶＩ３）Ｚ −（５） ｘ
（Ｖ＋ｚＬより１＋ Ｘ （Ｖ１３）２ Ｉ２
Ｘ （ＶＩ３）Ｉゆえに、
（３）式と（７）式より
（Ｖ＋ｚ）＋
（Ｖ ２３） １
（Ｖ＋１）ｉＸ （ＶＺ３）ｌ （Ｖ１３ＬＸ
（Ｖｚ＋）ｚなお、本実施例では（ＶＩ３Ｌを実測し
たが、（ｖ＋：ｔＬ＝ （Ｖ＋□）＋ ＋ （ＶＺ：Ｉ
Ｌの関係から算出することができる。
また、（ＶＩ３）Ｚの測定に代えて（Ｖｚ＋）ｚを測定
すれば、
（ＶＩ３）２＝ （ＶＺ３）２ （Ｖｚ＋）ｚの関係
から算出することができる。
つぎに、第２の実施例を説明する。第９図の一般的な抵
抗回路網は第３図の回路図のようにも置き換えることが
できる。すなわち、注目している抵抗をＲＬＲ２，Ｒ３
とし、それ以外の抵抗による合成抵抗をＲ４とし、端子
１と端子３との間に抵抗Ｒ１およびＲ２からなる直列回
路と抵抗Ｒ３および抵抗Ｒ４とからなる直列回路とが並
列に接続され、抵抗Ｒ１とＲ２の接続点に端子２が接続
され、抵抗Ｒ３と抵抗Ｒ４の接続点に端子４が接続され
ている四端子抵抗回路網となっている。
この四端子抵抗回路網において、まず、第４図に示すよ
うに端子１と端子３との間に定電流源５を接続する。定
電流源５からは定電流Ｉ、が供給され、矢印Ａ、Ｂのよ
うに回路網内を流れるので、このときの端子１と端子２
の間に発生する電圧（Ｖ＋□）い端子２と端子３との間
に発生する電圧（ＶＺ３）い端子４と端子３との間に発
生する電圧（Ｖ４：ＩＬおよび端子１と端子４との間に
発生する電圧（ＶＩ４）Ｉをそれぞれ測定する。ついで
、定電流源５を取り外し、第５図に示すように端子２と
端子４との間に定電流源６を接続する。定電流源６から
は定電流Ｉ２が供給され、矢印Ｃ，Ｄのように回路網内
を流れる。そして、このときの端子２と端子１の間に発
生する電圧（Ｖ Ｚυ２、端子２と端子３との間に発生
する電圧（Ｖｚｚ）ｚ、端子３と端子４との間に発生す
る電圧（Ｖ：＋４）ｚ＃よび端子１と端子４との間に発
生する電圧（■＋ａ）ｚをそれぞれ測定する。
つぎに、定電流源５，６の電流値１ｔ、Ｉｚおよび測定
電圧（Ｖ ＋ｚ）、（Ｖｚｚ）、（Ｖ＜１Ｌ、（Ｖ＋＜
Ｌ。
（Ｖｚ＋）ｚ、（Ｖｚ＋）ｚ、（、Ｖ：＋４）ｚ、（Ｖ
＋ｎ）ｚを、下記の（１１）式ないしく１４）式に代入
して抵抗値Ｒ１〜Ｒ４を算出する。
導かれる。すなわち、まず、第１ステツプの測定Ｒ２Ｒ
４
が成り立つ。したがって、（１６）式および（１７）式
から、
が成り立ち、
（１５）式および（１７）式から、
が成り立つ。
また、第２ステツプの測定から
が成り立つ。したがって、（２２）式および（２３）式
から、
Ｒ，Ｒ。
が成り立ち、
（２１）式および（２３）式から、
Ｒｚ Ｒ：１
が成り立つ。
（１７） Ｘ （Ｖ３４Ｌ （２３） Ｘ （
Ｖ４３ＬよりＩＩＸ （Ｖ３４）２ Ｉｔ Ｘ （
Ｖ４１）１＝ ［（ｖ＋□）＋ Ｘ （Ｖ：＋４）ｚ
（Ｖ２１）ＺＸ （Ｖ４：ｌ）ｌ］ゆえに、
これは、上述の（１１）式に他ならない。同様にして（
１２）弐〜（１４）式も導くことができる。
なお、Ｒ２は（１９）式と（１１）式より、（Ｖ＋ｚ）
＋
（Ｖ ｚｓ） ＋
と書ける。また、Ｒ４は（２０）式と（１３）式より、
（ＶＩ４Ｌ
（Ｖ４３）＋
と書ける。したがって、（１２）式および（１４）式に
代えて（２７）式および（２８）式を用いれば、電圧（
Ｖｘ：＋）ｚおよび電圧（ＶＩ４）２の測定を省略する
ことができる。
なお、第３図に示す四端子抵抗回路網に対して第１の実
施例に示した三端子抵抗回路網における抵抗値測定方法
を定電流源の接続端子の組み合わせを替えて２回路適用
しても、Ｒ１−Ｒ４を測定することができる。すなわち
、定電流源５および６をそれぞれ第６図および第７図の
ように接続すれば、Ｒ８＋Ｒ４をＲとして（７）式およ
び（８）式からそれぞれ抵抗Ｒ２およびＲ，を算出する
ことができる。同様に、定電流源５および６をそれぞれ
第６図および第８図のように接続すれば、抵抗Ｒ３およ
びＲ４を算出することができる。
〔発明の効果〕
以上説明したように本発明によれば、被測定回路に対し
て電流値および接続端子を変えて定電流を２回供給し、
定電流供給時に各端子間に発生する電圧を測定するだけ
で、以後は演算により被測定回路の個々の抵抗の抵抗値
を算出することができる。したがって、抵抗を個々に切
り離すことができない１チツプ抵抗回路網のような場合
にも、各抵抗の抵抗値を容易に測定することができる。
４、図面の簡単な説明
第１図および第２図はそれぞれ本発明の第１の実施例を
説明するための回路図、第３図、第４図および第５図は
それぞれ本発明の第２の実施例を説明するための回路図
、第６図、第７図および第８図はそれぞれ第３の実施例
を説明するための回路図、第９図は一般的な抵抗回路網
を示す回路図、第１０図は第１の実施例における三端子
回路網を示す回路図である。
１〜４・・・端子、５．６・・・定電流源、Ｒ１−Ｒ４
およびＲ・・・抵抗。
特許出願人 山武ハネウェル株式会社
代 理 人 山川 政権（ばか２名）
第３図1 and 2 are circuit diagrams for explaining a first embodiment of the present invention, and FIGS. 3, 4, and 5 are circuit diagrams for explaining a second embodiment of the present invention, respectively. , FIG. 6, FIG. 7, and FIG. 8 are circuit diagrams for explaining the third embodiment, respectively, FIG. 9 is a circuit diagram showing a general resistance circuit network, and FIG. 1 is a circuit diagram showing a three-terminal circuit network in the first embodiment; FIG. 1-4...terminal, 5,6...constant current source, R1-R4
and R...resistance. Patent Applicant Yamatake Honeywell Co., Ltd. Agent Yamakawa Administration (2 idiots) Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Procedural Amendment (Spontaneous) 1. Indication of the case 1986 Patent Application No. 8999 2. Name of the invention Resistance value measurement method 3. Person making the amendment Relationship to the case Patent Applicant name (name)
(666) Yamatake Honeywell Co., Ltd. (2) Drawing Wc
Correct Figure 3 as shown in the attached sheet. Description 1, Title of the invention: Resistance value measuring method 2, Claims (1) A series circuit consisting of a first resistor and a second resistor and a series circuit between the first terminal and the third terminal. In the three-terminal resistance network, the first
A first constant current source that supplies a first constant current is connected between the terminal and the third terminal, the voltage between each terminal is measured, and then the voltage between the second terminal and the third terminal is A second constant current source that supplies a second constant current is connected in between, and the voltage between each terminal is measured, and the first and second A resistance value measuring method characterized by calculating the resistance value of a resistor by calculation. (2) A series circuit consisting of a first resistor and a second resistor and a series circuit consisting of a third resistor and a fourth resistor are connected in parallel between the first terminal and the third terminal. A second terminal is connected to the connection point between the first resistor and the second resistor, and a third terminal is connected to the connection point between the first resistor and the second resistor.
In a four-terminal resistance network, the fourth terminal is connected to the connection point between the resistor and the fourth resistor, the first constant current is supplied between the first terminal and the third terminal. A constant current source is connected to measure the voltage between each terminal, and then a second constant current source is connected between the second terminal and the fourth terminal to supply a second constant current. Measure the voltage between each terminal, and calculate the first and second constant current values from the first and second constant current values and the voltage values between each terminal.
A resistance value measuring method characterized by calculating the resistance value of a resistor by calculation. 3. Detailed Description of the Invention [Field of Industrial Application] The present invention relates to a method for measuring the resistance value of each resistor in a resistor network. [Prior Art] The resistance value of each resistor in a resistor network is usually measured by separating each resistor individually. [Problems to be Solved by the Invention] However, in the case of a one-chip resistor network in which the resistor network is formed in a silicon substrate by diffusion technology, it is not possible to separate the resistors individually.
It was extremely difficult to measure the resistance value of each resistor individually. [Means for Solving the Problems] The resistance value measuring method of the present invention has been made in view of the above problems, and includes a first resistor and a second resistor between the first terminal and the third terminal. In a three-terminal resistance network, a series circuit consisting of a resistor and a third resistor are connected in parallel, and a second terminal is connected to a connection point between the first resistor and the second resistor. A first constant current source that supplies a first constant current is connected between the terminal and the third terminal, the voltage between each terminal is measured, and then the voltage between the second terminal and the third terminal is A second constant current source that supplies a second constant current is connected in between, and the voltage between each terminal is measured, and the first and second The resistance value of the resistor is calculated by calculation. Further, a series circuit including a first resistor and a second resistor and a series circuit including a third resistor and a fourth resistor are connected in parallel between the first terminal and the third terminal. A second terminal is connected to the connection point between the first resistor and the second resistor, and a fourth terminal is connected to the connection point between the third resistor and the fourth resistor.
In a four-terminal resistor network in which the terminals of are connected, a first constant current source that supplies a first constant current is connected between the first terminal and the third terminal to determine the voltage between each terminal. Then, a second constant current source that supplies a second constant current is connected between the second terminal and the fourth terminal to measure the voltage between each terminal, and the voltage between the first and second terminals is measured. The resistance values of the first and second resistors are calculated from the constant current value and the voltage value between each terminal. [Function] A voltage is generated between each terminal according to the current value of the constant current source and the connection terminal. [Examples] Hereinafter, the present invention will be described in detail along with Examples. Figure 9 is a circuit diagram showing a general resistor network, and this resistor network can be replaced with the minimum unit as shown in the circuit diagram in Figure 10 by representing the resistor other than the resistor of interest as a composite resistance. I can do it. In other words, the resistance of interest is R
1, Rz, and the combined resistance of other resistors is R. A series circuit consisting of resistors R1 and R2 and resistor R are connected in parallel between terminals 1 and 3, and the connection point of resistors RI and R2 is It is a three-terminal circuit network in which terminal 2 is connected to. In this three-terminal circuit network, first, a constant current source 5 is connected between terminals 1 and 3 as shown in FIG. A constant current It is supplied from the constant current source 5 and flows within the circuit network as shown by arrows A and B. Then, terminal 1 and terminal 2 at this time
Measure the voltage (V+□) 8 generated between terminals, the voltage (VZ3) I generated between terminals 2 and 3, and the voltage (V+ffL) generated between terminals 1 and 3. Next, Remove the constant current source 5 and connect the constant current source 6 between the terminals 2 and 3 as shown in Fig. 2.The constant current source 6 supplies a constant current I2, and the current flows as shown by arrows C and D. flows through the circuit network.Then, the voltage (Vz+)z generated between terminals 2 and 3 at this time and the voltage (Vz+)z generated between terminals 1 and 3
The voltage ('l/++)z generated between the two is measured. Note that the display of "(Vab)cl" described from time to time indicates the potential of the terminal a with respect to the terminal in the c (-1 or 2)th measurement. Next, the current value 11+I2 of the constant current sources 5 and 6 and the measured voltage (V+□L+(Vz3)+, (V+z)+, (Vz
z)z+(V+s)z using the following equations (7) and (8)
By substituting into the equation, resistance values R3 and R2 are calculated. Here, introduction of equations (7) and (8) will be explained. First, the first step is the measurement. Therefore, from equations (1) and (2), R, Rz hold true. Furthermore, the measurement in the second step holds true, and from equations (4) and (5), R and R hold. (2) x (VI3)Z - (5) x
(1+ X (V13)2 I2 from V+zL
X (VI3)I Therefore, from equations (3) and (7), (V+z)+ (V 23) 1 (V+1)iX (VZ3)l (V13LX
(Vz+)zIn this example, (VI3L was actually measured, but (v+:tL= (V+□)+ + (VZ:I
It can be calculated from the relationship of L. Furthermore, if (Vz+)z is measured instead of measuring (VI3)Z, calculation can be made from the relationship (VI3)2=(VZ3)2(Vz+)z. Next, a second embodiment will be explained. The general resistor network shown in FIG. 9 can also be replaced with the circuit diagram shown in FIG. In other words, the resistors of interest are RLR2, R3
Let R4 be the combined resistance of other resistors, and a series circuit consisting of resistors R1 and R2 and a series circuit consisting of resistors R3 and R4 are connected in parallel between terminal 1 and terminal 3, and resistor R1 Terminal 2 is connected to the connection point between and R2, and terminal 4 is connected to the connection point between resistor R3 and resistor R4, forming a four-terminal resistance network. In this four-terminal resistance network, first, a constant current source 5 is connected between terminals 1 and 3 as shown in FIG. A constant current I is supplied from the constant current source 5 and flows through the circuit network as shown by arrows A and B.
(V+□) Voltage generated between terminals 2 and 3 (VZ3) Voltage generated between terminals 4 and 3 (V4: IL and between terminals 1 and 4) Measure the voltages (VI4) and I generated between the two.Then, remove the constant current source 5 and connect the constant current source 6 between the terminals 2 and 4 as shown in FIG. A constant current I2 is supplied from the source 6 and flows through the circuit network as shown by arrows C and D. At this time, the voltage (V Zυ2) generated between terminals 2 and 1, The voltage generated between (Vzz)z, the voltage generated between terminals 3 and 4 (V: +4)z#, and the voltage generated between terminals 1 and 4 (■+a)z are respectively Next, the current values 1t and Iz of the constant current sources 5 and 6 and the measurement voltages (V +z), (Vzz), (V<1L, (V+<
L. (Vz+)z, (Vz+)z, (,V:+4)z, (V
+n)z is substituted into the following equations (11) to 14) to calculate the resistance values R1 to R4. be guided. That is, first, the first step measurement R2R
4 holds true. Therefore, from equations (16) and (17), the following holds true, and from equations (15) and (17), the following holds true. It also consists of the second step of measurement. Therefore, from formulas (22) and (23), R, R. From equations (21) and (23), Rz R:1 holds true. (17) X (V34L (23) X (
From V43L IIX (V34)2 It X (
V41) 1= [(v+□)+X (V:+4)z
(V21)ZX (V4:l)l] Therefore, this is nothing but the above-mentioned equation (11). Similarly (
12) Equations 2 to (14) can also be derived. Furthermore, from equations (19) and (11), R2 is (V+z)
It can be written as + (V zs) +. Also, R4 is from equations (20) and (13),
It can be written as (VI4L (V43)+. Therefore, if formulas (27) and (28) are used in place of formulas (12) and (14), the voltage (
The measurement of Vx:+)z and voltage (VI4)2 can be omitted. In addition, the resistance value measurement method for the three-terminal resistance network shown in the first embodiment was applied to two circuits by changing the combination of the connection terminals of the constant current sources to the four-terminal resistance network shown in FIG. Also, R1-R4 can be measured. That is, if the constant current sources 5 and 6 are connected as shown in FIGS. 6 and 7, respectively, the resistances R2 and R can be calculated from equations (7) and (8), respectively, with R8+R4 as R. . Similarly, resistances R3 and R4 can be calculated by connecting constant current sources 5 and 6 as shown in FIGS. 6 and 8, respectively. [Effects of the Invention] As explained above, according to the present invention, a constant current is supplied to the circuit under test twice by changing the current value and the connection terminal,
By simply measuring the voltage generated between each terminal when a constant current is supplied, the resistance value of each resistor of the circuit under test can be calculated by calculation. Therefore, even in the case of a one-chip resistor network where the resistors cannot be separated individually, the resistance value of each resistor can be easily measured. 4. Brief description of the drawings FIGS. 1 and 2 are circuit diagrams for explaining the first embodiment of the present invention, and FIGS. 3, 4, and 5 are circuit diagrams for explaining the second embodiment of the present invention, respectively. FIG. 6, FIG. 7, and FIG. 8 are circuit diagrams for explaining the third embodiment, and FIG. 9 is a circuit diagram showing a general resistor network. 10 are circuit diagrams showing a three-terminal circuit network in the first embodiment. 1-4...terminal, 5.6...constant current source, R1-R4
and R...resistance. Patent applicant Yamatake Honeywell Co., Ltd. Agent Yamakawa administration (two idiots) Figure 3
Claims (2)
び第２の抵抗とからなる直列回路と第３の抵抗とが並列
に接続され第１の抵抗と第２の抵抗との接続点に第２の
端子が接続されている三端子抵抗回路網において、第１
の端子と第３の端子との間に第１の定電流を供給する第
１の定電流源を接続して各端子間の電圧を測定し、つい
で第２の端子と第３の端子との間に第２の定電流を供給
する第２の定電流源を接続して各端子間の電圧を測定し
、第１および第２の定電流値および各端子間電圧値から
第１および第２の抵抗の抵抗値を演算により算出するこ
とを特徴とする抵抗値測定方法。(1) A series circuit consisting of a first resistor and a second resistor and a third resistor are connected in parallel between the first terminal and the third terminal, and the first resistor and the second resistor are connected in parallel. In a three-terminal resistor network, the second terminal is connected to the connection point with the first
A first constant current source that supplies a first constant current is connected between the terminal and the third terminal, the voltage between each terminal is measured, and then the voltage between the second terminal and the third terminal is A second constant current source that supplies a second constant current is connected in between, and the voltage between each terminal is measured, and the first and second A resistance value measuring method characterized by calculating the resistance value of a resistor by calculation.
び第２の抵抗とからなる直列回路と第３の抵抗および第
４の抵抗からなる直列回路とが並列に接続され第１の抵
抗と第２の抵抗との接続点に第２の端子が接続され第３
の抵抗と第４の抵抗との接続点に第４の端子が接続され
ている四端子抵抗回路網において、第１の端子と第３の
端子との間に第１の定電流を供給する第１の定電流源を
接続して各端子間の電圧を測定し、ついで第２の端子と
第４の端子との間に第２の定電流を供給する第２の定電
流源を接続して各端子間の電圧を測定し、第１および第
２の定電流値および各端子間電圧値から第１および第２
の抵抗の抵抗値を演算により算出することを特徴とする
抵抗値測定方法。(2) A series circuit consisting of a first resistor and a second resistor and a series circuit consisting of a third resistor and a fourth resistor are connected in parallel between the first terminal and the third terminal. A second terminal is connected to the connection point between the first resistor and the second resistor, and a third terminal is connected to the connection point between the first resistor and the second resistor.
In a four-terminal resistance network, the fourth terminal is connected to the connection point between the resistor and the fourth resistor, the first constant current is supplied between the first terminal and the third terminal. A constant current source is connected to measure the voltage between each terminal, and then a second constant current source is connected between the second terminal and the fourth terminal to supply a second constant current. Measure the voltage between each terminal, and calculate the first and second constant current values from the first and second constant current values and the voltage values between each terminal.
A resistance value measuring method characterized by calculating the resistance value of a resistor by calculation.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP899986A JPS62168067A (en) | 1986-01-21 | 1986-01-21 | Measuring method for resistance value |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP899986A JPS62168067A (en) | 1986-01-21 | 1986-01-21 | Measuring method for resistance value |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPS62168067A true JPS62168067A (en) | 1987-07-24 |
Family
ID=11708379
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP899986A Pending JPS62168067A (en) | 1986-01-21 | 1986-01-21 | Measuring method for resistance value |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS62168067A (en) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2011151856A1 (en) * | 2010-05-31 | 2011-12-08 | 株式会社アドバンテスト | Measurement device and measurement method |
| CN103913639A (en) * | 2013-01-04 | 2014-07-09 | 凌力尔特公司 | Method and system for measuring the resistance of a resistive structure |
| WO2017140589A1 (en) * | 2016-02-18 | 2017-08-24 | Continental Automotive Gmbh | Method for determining a calibration current pulse |
| WO2017186410A1 (en) * | 2016-04-25 | 2017-11-02 | Continental Automotive Gmbh | Method for determining a load current and battery sensor |
| US11899044B2 (en) | 2021-08-17 | 2024-02-13 | Denso Corporation | Current sensor |
-
1986
- 1986-01-21 JP JP899986A patent/JPS62168067A/en active Pending
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2011151856A1 (en) * | 2010-05-31 | 2011-12-08 | 株式会社アドバンテスト | Measurement device and measurement method |
| JPWO2011151856A1 (en) * | 2010-05-31 | 2013-07-25 | 株式会社アドバンテスト | Measuring apparatus and measuring method |
| CN103913639A (en) * | 2013-01-04 | 2014-07-09 | 凌力尔特公司 | Method and system for measuring the resistance of a resistive structure |
| EP2752672A1 (en) * | 2013-01-04 | 2014-07-09 | Linear Technology Corporation | Method and system for measuring the resistance of a resistive structure |
| US8947101B2 (en) | 2013-01-04 | 2015-02-03 | Linear Technology Corporation | Method and system for measuring the resistance of a resistive structure |
| CN103913639B (en) * | 2013-01-04 | 2018-05-18 | 凌力尔特公司 | Measure the method and system of resistive structures resistance |
| WO2017140589A1 (en) * | 2016-02-18 | 2017-08-24 | Continental Automotive Gmbh | Method for determining a calibration current pulse |
| WO2017186410A1 (en) * | 2016-04-25 | 2017-11-02 | Continental Automotive Gmbh | Method for determining a load current and battery sensor |
| CN109073683A (en) * | 2016-04-25 | 2018-12-21 | 大陆汽车有限公司 | For determining the method and battery sensor of load current |
| US10473724B2 (en) | 2016-04-25 | 2019-11-12 | Continental Automotive Gmbh | Method for determining a load current and battery sensor |
| US11899044B2 (en) | 2021-08-17 | 2024-02-13 | Denso Corporation | Current sensor |
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