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Given a wire of resistance R Ω. The resistance of a wire of the same material and same weight and double the diameter is ___________(a) 0.5 R(b) 0.25 R(c) 0.125 R(d) 0.0625 RThe question was asked during an online exam.The question is from Advanced Problems on Network Theorems topic in chapter Useful Theorems in Circuit Analysis of Network Theory

Answer»

Right answer is (d) 0.0625 R

For explanation: Since diameter is double, area of cross-section is four TIMES and length is one-fourth.

It can be verified by the following EQUATION,

R2 = \(\FRAC{\frac{ρl}{4}}{4A}\)

= \(\frac{ρl}{16 A} = \frac{R}{16}\).



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