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Question

Question: An electric wire of length ‘I’ and area of cross-section \(a\) has a resistance R ohms. Another wire...

An electric wire of length ‘I’ and area of cross-section aa has a resistance R ohms. Another wire of the same material having same length and area of cross-section 4a has a resistance of

A

4R

B

R/4

C

R/16

D

16R

Answer

R/4

Explanation

Solution

R=ρlaR = \frac{\rho l}{a} for first wire and R’=ρl4a=R4\frac{\rho l}{4a} = \frac{R}{4}for second wire.