CN2233605Y - Calculating scale for coinciding with quantity of 1/c=1/a+1/b relation - Google Patents

Abstract

The utility model relates to a calculating scale for coinciding with quantity of 1/c=1/a+1/b relation. The utility model is provided with an equicrural triangle and a runner along the bisector of an apical angle. The runner is provided with a measuring scale, and two waists of the equicrural triangle are respectively provided with marking lines with ten equal parts for representing a and b. The bisector of the apical angle is provided with the marking lines with 5 equal parts, and each equal part is subdivided into the minor division with 10 equal parts. The number values of parallel resistance, series capacitance and other related quantity conforming to the relation can be quickly and accurately calculated out by making use of the calculating scale.

Description

Calculating scale for coinciding with quantity of 1/c=1/a+1/b relation

Meet

The slipstick of the amount of relation

The utility model relates to a kind of to meeting

The slipstick of amount of relation can be to parallel resistance, and series capacitance and the amount that meets this relation thereof are calculated.

At present, to meeting relation

Amount, meet as: parallel resistance, series capacitance and other

The calculating of the amount of relation except that adopting computing machine (device), is generally all calculated by hand, and particularly students in middle and primary schools are all the more so.As adopt hand computation, and calculate very trouble, speed is slow, and easily makes mistakes.

The utility model is to realize its purpose like this: it has an isoceles triangle plate, along its drift angle bisector design chute is arranged, gage is housed in the chute, design has the 10 equal portions grooves of representing a, b amount respectively on two waists of isoceles triangle plate, design has the 5 equal portions grooves of representing the C amount on the drift angle bisector, and every equal portions are subdivided into the little lattice of 10 equal portions again.

The utility model can also be realized its purpose like this, and gage is loaded in the chute by screw-nut, and can slippage and rotation in chute.

The length of gage of the present utility model is isometric with the drift angle opposite side at least.

Owing to the utlity model has the said structure design, during use, only need the gage edge is aimed at two known numerical quantities, the point that the arbitrary groove on its edge and two waists or the angular bisector intersects is the value of the unknown quantity of being asked.Its ultimate principle is: the drift angle of establishing the isoceles triangle plate is θ, two waists are respectively a, b amount, and the drift angle bisector is the C amount, according to angular bisector character in the triangle and the proportional character of similar triangles opposite side, again in conjunction with trigonometric function, verifiedly obtain following equation: $\frac{1}{a}+\frac{1}{b}=\frac{1}{c}\·2\cos \frac{\mathrm{\θ}}{2}$

If

Regard 1 as and promptly obtain relational expression $\frac{1}{a}+\frac{1}{b}=\frac{1}{c}$ By this relation, when calculating parallel resistance, two waist grooves are represented a, b amount resistance value, the angular bisector groove is represented the value of all-in resistance C amount, if known wherein two amounts can be tried to achieve the 3rd amount, when calculating series capacitance, two waist grooves are represented a, b capacitance, and the angular bisector groove is represented total capacitance value C.By that analogy, can calculate easily and meet The relevant physical quantity of relation, mathematical quantity etc. are compared with hand computation, and convenience of calculation is quick, and is difficult for makeing mistakes.

Further described below in conjunction with drawings and Examples, but specific embodiments is not limited only to this explanation.

Fig. 1,2,3 represents that respectively the utility model drift angle is hexagonal angle, 90 ° of angles and other structural representations less than 180 ° angle.

As shown in FIG., the utility model has an isoceles triangle plate 1, drift angle bisector design along this isoceles triangle plate 1 has a chute 2, by screw-nut 4 gage 3 is housed in the chute 2, gage 3 can slippage and rotation in chute 2, on two waists of isoceles triangle plate 1 respectively design the 10 equal portions grooves of represent a, b to measure are arranged, design has the 5 equal portions grooves of representing the c amount on the drift angle bisector, according to the realistic accuracy requirement, every equal portions are subdivided into 10 little lattice, can so segment down.That is to say that 1 liang of waist of isoceles triangle plate is carved into big lattice by 10 equal portions respectively, and the drift angle bisector is carved into big lattice by 5 equal portions, the big lattice of every then equal portions are subdivided into 10 little lattice again.In a word, during groove, two waists are divided into identical equal portions, and as the big lattice of 5 equal portions, then the drift angle bisector just is divided into the big lattice of 2.5 equal portions, then, more every big lattice equal portions are divided into 10 little lattice, so carry out groove.The length of gage 3 at least should be isometric with the drift angle opposite side, to guarantee to measure numerical value.

Brief description (giving an example) is the using method of this slipstick once:

One, the relevant amount of parallel resistance, series capacitance is calculated, and the big lattice of each groove represents units such as Europe, dried Europe and microfarad, and little lattice are represented units such as 0.1 Europe or 0.1 kilo-ohm, 0.1 microfarad.

Example 1, R ₁=1.5 Europe, R ₃Back in parallel all-in resistance is asked in=3 Europe

With 1.5 and 3 grooves on gage 3 edges aligning slipstick two waists, the intersection point groove reading of gage 3 edges and drift angle bisector is total resistance value 1 Europe of being asked.

Example 2, the resistance in known 1 Europe should be with after much resistance be in parallel, and can make all-in resistance is 0.8 Europe.

0.8 groove on groove 1 on one waist of the edge of gage 3 and this slipstick and the drift angle bisector is aimed at, and then the groove value of intersection point is resistance 4 Europe of being asked on gage 3 edges and another waist.

The relevant amount and the said method that calculate series capacitance are identical, and only each groove is represented units such as microfarad.

Two, when resistance, electric capacity or other numerical value greater than 10 or less than 1 the time, can earlier each numerical value be dwindled or enlarge 10 times, 100 times ... Deng after, try to achieve its value from slipstick again after, the value of gained enlarged or dwindles corresponding multiple and can obtain the actual value asked.

Three, also can calculate the relevant amount of N resistance parallel connection or capacitances in series with this slipstick, method is the same fully, only previous result of calculation is done same calculating with other amounts again, finally reaches the result.This no longer gives an example.

Claims (3)

1, a kind of to meeting

The slipstick of the amount of relation, it is characterized in that: it has an isoceles triangle plate (1), along its drift angle bisector design chute (2) is arranged, gage (3) is housed in the chute (2), design has the 10 equal portions grooves of representing a, b amount respectively on two waists of isoceles triangle plate (1), design has the 5 equal portions grooves of representing the c amount on the drift angle bisector, and every equal portions are subdivided into the little lattice of 10 equal portions again.

2, according to claim 1 meeting The slipstick of the amount of relation, it is characterized in that: gage (3) is loaded in the chute (2) by screw-nut (4), and can slippage and rotation in chute (2).

3, according to claim 1,2 described meeting

The slipstick of the amount of relation, it is characterized in that: the length of gage (3) is isometric with the drift angle opposite side at least.