Using Kirchoffs Law calculate the current in each resistor a

Using Kirchoff\'s Law calculate the current in each resistor and the percent error

Solution

Appyling KVL in big loop:

3 - I3R3 - I1R1 = 0

98I1 + 547I3 = 3 . ....(i)

KVL in small loop:

I3 R3 - I2 R2 = 0

326I2 - 547I3 = 0 ..........(ii)

Applying KCL:

I1 = I2 + I3

I1 - I2 - I3 = 0 ........(iii)

Solving (i), (ii) and (iii),

I1 = 9.925 x 10^-3 A = 9.925 mA

I2 = 6.22 x 10^-3 A = 6.22 mA

I3 = 3.71 x 10^-3 A = 3.71 mA