The currents are flowing in the direction indicated by the arrows. A negative cu

Question

The currents are flowing in the direction

indicated by the arrows. A negative current

denotes flow opposite to the direction of the

arrow. Assume the batteries have zero internal resistance.

B.

Find the current through the 22.7 Ohms resistor in the center of the circuit.

Answer in units of A.

The currents are flowing in the direction indicated by the arrows. A negative current denotes flow opposite to the direction of the arrow. Assume the batteries have zero internal resistance. Find the current through the 17.9 ohm resistor and the 8 V battery at the top of the circuit. Answer in units of A. B. Find the current through the 22.7 Ohms resistor in the center of the circuit. Answer in units of A.

Explanation / Answer

using kirchoff jnction law

I1 = I2 + I3

Using kirchoffs voltage law

in bottom loop

V2 + i*R = 0

18.8 = -22.7*I2

I2 = -0.828 A

In top loop

V1-22.7*I2 - 17.9*I1 = 0

8 - 22.7*-0.828 - 17.9*I1

17.9*I1 = 26.8

I1 = 26.8 / 17.9 = 1.497 A

b) I2 = -0.828 A

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