Question

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

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

24 V 4 Ω

Answer 1

Total resistance = (6+4) x (10+5) /(10 + 15) = 6 ohm

Total current = V/R = 24/6 = 4A

(A) In parallel branch the current will flow in the inverse order of the branch resistance. Hence current through 6 and 4 ohm is given by

Current = 4 x (10 + 5) /25 = 2.4 A

Hence current through 5 and 10 ohm is (4 - 2.4) = 1.6 A

(B) In parallel voltage will be same at each branch. But with in a branch the voltage is current multiplied with resistance.

Voltage in 6 ohm = IR = 2.4 x 6 = 14.4 V

Voltage in 4 ohm = 2.4 x 4 = 9.6 V

Voltage in 10 ohm = 1.6 x 10 = 16 V

Voltage in 5 ohm = 1.6 x 5 = 8V

Hope the answer helps you. All the best wishes for your studies ?