Current Electricity Charging Discharging Of Capacitors Question 518

Question: A current i passes through a wire of length l, radius of cross-section r and resistivity r. The rate of heat generation is

[AMU (Med.) 1999]

Options:

A) $ \frac{i^{2}l\rho }{\pi r^{2}} $

B) $ i^{2}{{( \frac{l\rho }{\pi r^{2}} )}^{2}} $

C) $ i^{2}l,\rho ,/,r $

D) $ i,l,\rho ,/,r $

Show Answer

Answer:

Correct Answer: A

Solution:

$ H=i^{2}Rt $

Therefore $ \frac{H}{t}=i^{2}R=\frac{i^{2}\rho l}{\pi ,r^{2}} $