In an electrical circuit, two groups of parallel-connected resistors are connected in series.

In an electrical circuit, two groups of parallel-connected resistors are connected in series. Find the total resistance of the circuit if the resistance of each resistor is 10 ohms.

First, let’s look at how to find resistance:

1) with serial connection: R = R1 + R2 + …

2) with parallel connection: 1 / R = 1 / R1 + 1 / R2 + …, or if 2 resistors: R = R1 * R2 / (R1 + R2)

Since we are given two identical pairs with a parallel connection, then R12 = R34 = R1 * R2 / (R1 + R2) = 10 * 10 / (10 + 10) = 5

These groups are connected in series, which means R = R12 + R34 = 2 * R12 = 10 Ohm



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