Current Electricity Charging Discharging Of Capacitors Question 548

Question: What is the ratio of heat generated in R and 2R

[DCE 2003]

Options:

A) 2 : 1

B) 1 : 2

C) 4 : 1

D) 1 : 4

Show Answer

Answer:

Correct Answer: A

Solution:

Both R and 2R in parallel ( V ? constant) So using $ P=\frac{V^{2}}{R} $

Therefore $ \frac{P _{1}}{P _{2}}=\frac{R _{2}}{R _{1}} $

Therefore $ \frac{H _{1}}{H _{2}}=\frac{R _{2}}{R _{1}}=\frac{2}{1} $