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Question

The resistivity of potentiometer wire is 40×108ohm - metre and its area of cross-section is 8×106m2. If 0.2 ampere current is flowing through the wire, the potential gradient of the wire is:

A
101V/m
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B
102V/m
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C
103V/m
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D
104V/m
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Solution

The correct option is B 102V/m
Given : ρ=40×108ohmm I=0.2 A A=8×106m2
Resistance of the wire R=ρLA
Potential difference across the wire V=IR=IρLA
Thus potential gradient of the wire VL=IρA
VL=0.2×40×1088×106
VL=102V/m

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