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Question

# Find the ratio of the maximum to the minimum resistance for a combination of 'n' equal resistors.

A
n
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B
1n2
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C
n2
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D
1n
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Solution

## The correct option is C n2Equivalent resistance is maximum when connected in series and minimum when connected in parallel. Equivalent resistance when the resistors are connected in series will be: Rs=R+R+R+...n times=nR Equivalent resistance when the resistors are connected in parallel will be 1Rp=1R+1R+1R+...n times 1Rp=nR Rp=Rn Ratio of maximum to minimum resistance will be: RmaxRmin=RsRp=nR(Rn)=n2 Therefore the ratio will be (n2:1)

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