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Q.

‘n’ conducting wires of same dimensions but having resistivity 1,2,3,.........n are connected in series the equivalent resistivity of the combination is

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a

(n+1)2

b

n(n+1)2

c

2nn+1

d

(n+1)2n

answer is B.

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Detailed Solution

We know that 

R=ρLA

When they are connected in series 

Req=R1+R2+………R3

⇒ρeq(nL)A=LA(1+2+3+….n)⇒ρeq=n+12

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