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JIPMER 2004

Exam: JIPMER
Year: 2004
Subject: Physics
Chapter: Current Electricity

JIPMER 2004 · Physics · Current Electricity

A wire of resistance R is divided in n equal parts, then these...

A wire of resistance

R

is divided in n equal parts, then these parts are joined in parallel, the equivalent resistance of the combination will be

Options

A $n R$
B $\frac{R}{n}$
C $\frac{n}{R}$
D $\frac{R}{n^2}$

Correct answer

D. $\frac{R}{n^2}$

Step-by-step solution

Resistance of one part

\frac{R}{n}

Now equivalent resistance of

n

parts each of resistance

\frac{R}{n}

in parallel is given by

R^{\prime}=\frac{R / n}{n}=\frac{R}{n^2}

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