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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