Physics, asked by student2534, 15 hours ago

Resistivity of a wire of metal A is twice the resistivity of a wire of metal B and the radius of wire of metal A is half the radius of wire of metal B. What should the ratio of the length of wires of metal A and B in order to have the same resistance?​

Answers

Answered by pirbushra358
1

Answer:

Given,

Two wire A and B,

Diamete of A =d

A

Diameter of B =d

B

d

B

=2×d

A

ρ

B

=2ρ

A

R

A

=

A

A

ρ

A

l

A

=

4

π

d

A

2

ρ

A

l

A

=4×

πd

A

2

ρ

A

l

A

and R

B

=

A

B

ρ

B

l

B

=

4

π

d

B

2

A

l

B

=

4

π

(2d

A

)

2

A

l

B

=

πd

A

2

A

l

B

If both resistances are equal (R

A

=R

B

)

R

A

=R

B

⇒4×

πd

A

2

ρ

A

l

A

=

πd

A

2

A

l

B

l

B

l

A

=

2

1

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