Q.

A 6 V battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100  Ω. The difference of potential between two points on the wire separated by a distance or 50 cm, will be

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a

2 V

b

3 V

c

1 V

d

1.5 V

answer is C.

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Detailed Solution

Total current drawn from the batteryi= ER+r =6100+0=0.06 AResistance of 5o cm wire is R'=ρl'A =  ρAl'=Rl l'    ∵   R=ρlA =100300 × 50so,   R'=5030 ΩHence, the potential difference between two points on the wire separated by a distance l isV= iR'=0.06  × 503   =  1 V
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