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Current Electricity question

2001 · Q139
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Current Electricity question

2001 · Q139

NEETPhysicsCurrent ElectricityMCQ+4 / −1
If specific resistance of a potentiometer wire is 10-7Ω\OmegaΩ m and current flow through it is 0.1 amp., cross-sectional area of wire is 10−-−6 m2 then potential gradient will be
  1. A
    10−-−2 volt/m
  2. B
    10−-−4 volt/m
  3. C
    10−-−6 volt/m
  4. D
    10−-−8 volt/m.
View written solutionFree

Correct answer: A

Potential gradient = Potential fall per unit length. In this case resistance of unit length.

R=ρlA=10−7×110−6=10−1ΩR = {{\rho l} \over A} = {{{{10}^{ - 7}} \times 1} \over {{{10}^{ - 6}}}} = {10^{ - 1}}\Omega R=Aρl​=10−610−7×1​=10−1Ω

Potential fall across R is

V = I.R = 0.1 ×\times× 10-1 = 0.01volt/m.

=10−2 = {10^{ - 2}}=10−2 volt/m

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