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JIPMER 2018

Exam: JIPMER
Year: 2018
Subject: Physics
Chapter: Current Electricity

JIPMER 2018 · Physics · Current Electricity

A current i is flowing through the wire of diameter (d) having...

A current

i

is flowing through the wire of diameter (d) having drift velocity of electrons

\mathrm{v}_{\mathrm{d}}

in it. What will be new drift velocity when diameter of wire is made

\mathrm{d} / 4

?

Options

A $4 v_d$
B $\frac{v_d}{4}$
C $16 v_d$
D $\frac{v_d}{16}$

Correct answer

C. $16 v_d$

Step-by-step solution

\because

Current,

\mathrm{I}=\mathrm{nAev}_{\mathrm{d}}

or

\quad \mathrm{v}_{\mathrm{d}} \propto \frac{1}{\mathrm{~A}}

If diameter of wire is

\frac{\mathrm{d}}{4}

, then area will be

\frac{\mathrm{A}}{16}

, so new drift velocity

=16 v_d

.

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