For the circuit to the right, consisting of three ideal batteries and three idea

Question

For the circuit to the right, consisting of three ideal batteries and three ideal resistors, calculate the current through point P. Let the sign of the current correspond to its direction, with "up" being positive.

For the circuit to the right, consisting of three ideal batteries and three ideal resistors, calculate the current through point P. Let the sign of the current correspond to its direction, with "up" being positive. E. 13 V, E 18.0 V, E, 33.0 V R-400 ko, R.-11.5 ko, R3 8.25 ko Number m A o P

Explanation / Answer

Let I1 ,I2 and I3 are the currents through R1,R2 and R3 respectively.

Apply KVL in the left loop,

-I1*R1 + E1 - E2 -I2*R2 = 0

-3400*I1 + 22 - 10.5 - 12500*R2 = 0

3400*I1 + 12500*I2 = 11.5 ----(1)

Apply KVL in right loop,

E3 - I3*R3 - E2 - I2*R2 = 0

31.5 - 2500*I3 - 10.5 - 12500*I2 = 0

12500*I2 + 2500*I3 = 21 ----(2)

at the junction,

I1 + I3 = I2 ----(3)

on solving the equations 1,2 and 3

we get

I1 = -1.1 mA

I2 = 1.2 mA

I3 = 2.3 mA

so, I1 = -1.1 mA (current through point P)<<<<<<<<---------------Answer

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