Question

Calculate the total resistance of the circuit and find the total current in the circuit.

Answer 1

R₃ and R₄ are in series, hence the equivalent resistance of those two = R₅ = R₃ + R₄ = 10 ohms

R₅ and R₂ are in parallel, Let R₆ be the equivalent resistance for them. Hence R₆ = (R₅ × R₂)/(R₅ + R₂) = 100/20 = 5 ohms

Now R₁ and R₆ are in series and hence the final equivalent resistance of the entire circuit is R = R₁ + R₆ = 12 ohms

By Ohm's Law we know that V = IR, hence I = V/R.

Hence the current in the circuit is 24/12 A = 2A