To learn to calculate the equivalent resistance of the circuits combining series

Question

To learn to calculate the equivalent resistance of the circuits combining series and parallel connections. Resistors are often connected to each other in electric circuits. Finding the equivalent resistance of combinations of resistors is a common and important task. Equivalent resistance is defined as the single resistance that can replace the given combination of resistors in such a manner that the currents in the rest of For the combination of resistors shown, find the equivalent resistance between points A Express your answer in ohms.

Explanation / Answer

in upper branch first 4 , 6 and 12 in parallel and their combination is R'

1/R' = 1/4 + 1/6 + 1/12

R' = 2 ohm

now R' in series with 1 and 3 ohm = Ru= 2 + 1 + 3 = 6 ohm

now in lower branch

5 ohm and 20 ohm in parallel and their combination is R"'

1/R"' = 1/5 + 1/20

R"' = 4 ohm

now R'" in series with 2 ohm = RL = 4 + 2 = 6 ohm

now Ru and RL in parallel

1/Req = 1/Ru + 1/RL

1/Req = 1/6 + 1/6

Req = 3 ohm

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