Current Electricity Charging Discharging Of Capacitors Question 235

Question: . The resistivity of a potentiometer wire is $ 40\times {{10}^{-8}},ohm-m $ and its area of cross-section is $ 8\times {{10}^{-6}},m^{2} $ . If 0.2 amp current is flowing through the wire, the potential gradient will be

[MP PMT/PET 1998]

Options:

A) $ {{10}^{-2}},volt/m $

B) $ {{10}^{-1}},volt/m $

C) $ 3.2\times {{10}^{-2}},volt/m $

D) $ 1,volt/m $

Show Answer

Answer:

Correct Answer: A

Solution:

Potential gradient $ =\frac{V}{L}=\frac{iR}{L}=\frac{i\rho L}{AL}=\frac{i\rho }{A} $

$ =\frac{0.2\times 40\times {{10}^{-8}}}{8\times {{10}^{-6}}}={{10}^{-2}},V/m $