Given $n$ resistors each of resistance $$R, how will you combine them to get the $(i)$ maximum $(ii)$ minimum effective resistance? What is the ratio of the maximum to minimum resistance?
Exercise
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Total number of resistors $= n$ Resistance of each resistor $= R$
- When n resistors are connected in series, effective resistance $R_1$ is the maximum, given by the product nR.
- When n resistors are connected in parallel, the effective resistance $(R_2)$ is the minimum, given by the ratio $\frac{\text{R}}{\text{n}}.$
- The ratio of the maximum to the minimum resistance is,
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