Current Electricity Charging Discharging Of Capacitors Question 296

Question: A potentiometer has uniform potential gradient. The specific resistance of the material of the potentiometer wire is 10?7 ohm?meter and the current passing through it is 0.1 ampere; cross-section of the wire is 10?6 m2. The potential gradient along the potentiometer wire is

[KCET 2003]

Options:

A) $ {{10}^{-4}} $ V/m

B) $ {{10}^{-6}} $ V/m

C) $ {{10}^{-2}} $ V/m

D) $ {{10}^{-8}} $ V/m

Show Answer

Answer:

Correct Answer: C

Solution:

Potential gradient (x) $ =\frac{i\rho }{A} $

$ =\frac{0.1\times {{10}^{-7}}}{{{10}^{-6}}}={{10}^{-2}},V/m $