A set of \(N\) identical resistors, each with resistance \(R\), is connected in series to form Network 1. The same \(N\) resistors are then reconnected in parallel to form Network 2. In terms of \(N\), what is the ratio \(\dfrac{R_{\text{series}}}{R_{\text{parallel}}}\) of the equivalent resistance of Network 1 to the equivalent resistance of Network 2? • Nerd Notes

AP Physics 2

11.5 Compound Direct Current (DC) Circuits

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Resistors connected in series (Network 1) and parallel (Network 2).

A set of \(N\) identical resistors, each with resistance \(R\), is connected in series to form Network 1. The same \(N\) resistors are then reconnected in parallel to form Network 2. In terms of \(N\), what is the ratio \(\dfrac{R_{\text{series}}}{R_{\text{parallel}}}\) of the equivalent resistance of Network 1 to the equivalent resistance of Network 2?

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