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Question: In resistors each of resistance R first combine to give maximum effective resistance and then combin...

In resistors each of resistance R first combine to give maximum effective resistance and then combine to give minimum effective resistance. The ratio of the maximum to minimum resistance is

A

n

B

7.5×10−4ms−17.5 \times 10^{- 4}ms^{- 1}

C

3×10−10Vm−13 \times 10^{- 10}Vm^{- 1}

D

6.5×10−6m2V−1s−16.5 \times 10^{- 6}m^{2}V^{- 1}s^{- 1}

Answer

7.5×10−4ms−17.5 \times 10^{- 4}ms^{- 1}

Explanation

Solution

: To get maximum equivalent resistance all resistances must be connected in series

∴(Req)max⁡\therefore(R_{eq})_{\max}

To get minimum equivalent resistance all resistances must be connected in parallel.

∴1(Req)min⁡1R1R1n\therefore\frac{1}{(R_{eq})_{\min}\frac{1}{R}\frac{1}{R}\frac{1}{n}}

1(Req)min⁡nR\frac{1}{(R_{eq})_{\min}\frac{n}{R}}

⇒(Req)Rnmin⁡\Rightarrow (R_{eq}{)\frac{R}{n}}_{\min}