Question

If the length of a wire of resistance R is uniformly stretched to n
times its original value, its new resistance is
(a) nR (b) Rn
(c) n2R
(d) Rin2
[GATE EE. 1998]
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Answer 1

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Current Electricity

Electrical Resistance & Resistivity

If a uniform wire of resist...

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Asked on December 27, 2019 by

Zilvi Sarfraz

If a uniform wire of resistance R is uniformly stretched to n times the original length, then new resistance of the wire becomes :

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ANSWER

When the wire is stretched the volume remains constant.

∴a

1

l

1

=a

2

l

2

i.e. a

1

l

1

=a

2

(nl

1

)

∴a

2

=

n

a

1

R

1

=

a

1

ρl

1

and R

2

=

a

2

a

ρnl

1

=

n

a

1

ρnl

1

=n

2

a

1

ρl

1

R

2

=n

2

R

1

=n

2

R(∵R

1

=R)

I hope it will be helpful for you

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