Question

Two wires of the same material and same length have radi 3r and 2r respectively. Compare their I) resistance and ii) resistivity
​

Answer 1

Explanation:

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Answer 2

Answer:

(i)R=

A

fl

According to the question

R

1

=

π(1×10

−3

)

2

fl

R

2

=

π(2×10

−3

)

2

fl

R

2

R

1

=

(1×10

−3

)

2

(2×10

−3

)

2

=

1

4

Thus,R

1

:R

2

::4:1 i.e, first resistance is four times the second resistance

(ii) specific resistance ≅ Resistivity (f) depends on

the material of the wire and as according

to the question both wires are of same

material ⇒ resistivity of both wires is same.