Current Electricity Charging Discharging Of Capacitors Question 255

Question: If the resistivity of a potentiometer wire be $ \rho $ and area of cross-section be A, then what will be potential gradient along the wire

[RPET 1996]

Options:

A) $ \frac{I\rho }{A} $

B) $ \frac{I}{A\rho } $

C) $ \frac{IA}{\rho } $

D) $ IA\rho $

Show Answer

Answer:

Correct Answer: A

Solution:

Potential gradient $ x=\frac{V}{L}=\frac{iR}{L}=\frac{i,( \frac{\rho L}{A} )}{L}=\frac{i\rho }{A} $