Question

A piece of copper is shaped into a conductor of minimum resistance. Its length and diameter should be?​

Answer 1

Answer:

Since R=

A

ρl

=

π(d/2)

2

ρl

=

πd

2

4ρl

here R is directly depend upon length and inversly depend upon diameter of conductor.

If l becomes

2

l

& d becomes 2d, the new resistance is R

′

=

π(

2

2d

)

2

ρ

2

l

=

2×πd

2

ρl

=

8

R

This is minimum among all the given instances.

Explanation:

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