Question

Part A: For the circuit shown in the figure(Figure 1) find the current through each resistor.

Part B: For the circuit shown in the figure find the potential difference across each resistor.

 

Answer 1

resistance of middle wire

Rm = 4* 12 / ( 4 + 12) + 5= 8 ohm

net resistance of circuit

R = 24 * 8 / ( 24 + 8) + 3 = 9 ohm

net current through circuit

i = V/R = (12-3) / 9 = 1 A

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for 3ohm

i3 = 1 A

V3 = 3 * 1 = 3 V

=====

for 24 ohm

i24 = 1* Rm / ( 24 + Rm) = 0.25 A

V24 = 0.25* 24 = 6 V

=====

for 5 ohm

i5 = i - i24 = 0.75 A

V5 = 0.75* 5 = 3.75 V

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for 4 ohm

i4 = 0.75* 12 / ( 12 + 4) = 0.5625

V4 = 6 - V5 = 2.25 V

=====

for 12 ohm

i12 = 0.75 - 0.5625 = 0.1875 A

v12 = 2.25 V