# Answer to Question #8164 in Electric Circuits for farooq

Question #8164

what is the relation between branch resistance and the total resistance of a parallel circiut?

Expert's answer

Let's assume that the circuit consists of N branches with Ri, i=1..N resistance each. Then the total resistance of a circuit is

R = 1/( 1/R1 + 1/R2 + 1/R3 + ... + 1/RN ).

R = 1/( 1/R1 + 1/R2 + 1/R3 + ... + 1/RN ).

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