Current Electricity Charging Discharging Of Capacitors Question 456
Question: According to Joule’s law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to
[MP PMT 1986]
Options:
A) $ \rho $
B) $ {{\rho }^{2}} $
C) $ \frac{1}{\sqrt{\rho }} $
D) $ \frac{1}{\rho } $
Show Answer
Answer:
Correct Answer: D
Solution:
$ P=\frac{V^{2}}{R} $ but $ R=\frac{\rho l}{A} $
Therefore $ P=\frac{V^{2}}{\rho l/A}=\frac{AV^{2}}{\rho l} $ . Since $ \frac{AV^{2}}{l} $ is constant as per given conditions So $ P\propto \frac{1}{\rho }. $
BETA
