f5 phy circuit

b.i. Equivalent resistance of circuit 1 = [1/(1 + 2) + 1/3]-1 = 1.5 ohms

By V = IR

6 = I(1.5)

I = 4 A

The equivalent resistance across AC is the same as that across the 3 ohm resistor.

So, I1 = I2 = 1/2 I = 2 A


c. Equivalent resistance = [1/2 + 1/3]-1 + 1 = 2.2 ohms

By V = IR

6 = I(2.2)

I = 2.73 A

I1 = 2I/(2 + 3) = 1.09 A

I2 = 2.73 - 1.09 = 1.64 A