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

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Question

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

Answer in Brief

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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