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

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Question

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

Answer in Brief
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Solution

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

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