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Question

Question: There are \(n\) similar conductors each of resistance \(R\). The resultant resistance comes out to b...

There are nn similar conductors each of resistance RR. The resultant resistance comes out to be xx when connected in parallel. If they are connected in series, the resistance comes out to be

A

x/n2x/n^{2}

B

n2xn^{2}x

C

x/nx/n

D

nxnx

Answer

n2xn^{2}x

Explanation

Solution

In parallel, x=Rnx = \frac{R}{n} R=nxR = nx

In series, R + R + R .... n times = nR = n (nx)

= n2x