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현재 위치

Circuit, current distribution, parallel 3

작성자 Uploader : atom 작성일 Upload Date: 2019-11-20변경일 Update Date: 2020-02-29조회수 View : 457

When the current amount I (A) flows in a parallel connected circuit as shown in the figure, the current amount I1 (A) distributed by the resistor R1 (Ω) can be obtained as follows..

Sum of currents flowing through each resistance : I = I1 + I2 + I3

Voltage is the same for each resistance : I1*R1 = I2*R2 = I3*R3

Expressing I2 and I3 in terms of I1 :

I1*R1/R2 = I2
I1*R1/R3 = I3

By inserting I2 and I3 into the first equation and re-arranging, I1 is obtained as follows.

I = I1 + I1*R1/R2 + I1*R1/R3

I1*(1 + R1/R2 + R1/R3) = I

I1*(R2*R3 + R1*R3 + R1*R2)/(R2*R3) = I

I1 = I*(R2*R3)/(R1*R2 + R2*R3 + R1*R3)

In a same way, I2 and I3 can be obtained.

I2 = I*(R1*R3)/(R1*R2 + R2*R3 + R1*R3)

I3 = I*(R1*R2)/(R1*R2 + R2*R3 + R1*R3)

*** 참고문헌[References] ***

I1 = (I/(R1*R2 + R2*R3 + R1*R3))*(R2*R3)

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현재 위치

Circuit, current distribution, parallel 3

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