Current Electricity Charging Discharging Of Capacitors Question 222

Question: In a potentiometer circuit there is a cell of e.m.f. 2 volt, a resistance of 5 ohm and a wire of uniform thickness of length 1000 cm and resistance 15 ohm. The potential gradient in the wire is

[MP PMT 1994]

Options:

A) $ \frac{1}{500}V/cm $

B) $ \frac{3}{2000}V/cm $

C) $ \frac{3}{5000}V/cm $

D) $ \frac{1}{1000}V/cm $

Show Answer

Answer:

Correct Answer: B

Solution:

Potential gradient $ x=\frac{V}{L}=\frac{iR}{L} $

Therefore $ x=\frac{2}{(15+5)}\times \frac{15}{10}=\frac{3}{2000}volt/cm $