Current Electricity Charging Discharging Of Capacitors Question 496

Question: Two conductors made of the same material are connected across a common potential difference. Conductor A has twice the diameter and twice the length of conductor B. The power delivered to the two conductors $ P _{A} $ and $ P _{B} $ respectively is such that $ P _{A}/P _{B} $ equals to

Options:

A) 0.5

B) 1.0

C) 1.5

D) 2.0

Show Answer

Answer:

Correct Answer: D

Solution:

$ R=\rho \frac{l}{A} $ and $ P\propto \frac{1}{R} $

Therefore $ P\propto \frac{A}{l} $

Therefore $ P\propto \frac{d^{2}}{l} $

Therefore $ P _{A}=2P _{B} $