Question

A DC of $2\text{A}$ and an AC of peak value $2\text{A}$ flows through resistances $2\Omega$ and $1\Omega$ respectively. Find the ratio of heat produced in the two resistances in the same time interval.

• A. $4:1$
• B. $2:1$
• C. $1:3$
• D. $1:1$

Answer 1

The correct option is A $4:1$

Ratio of heat produced in the two resistances in the same time interval,

$\frac{H_1}{H_2}=\frac{i_1^2{R}_{1}t}{i_{2_{rms}}^2{R}_{2}t}$

$\Rightarrow \frac{H_1}{H_2}=\frac{2^2\times 2\times 2}{2^2\times 1}=\frac{4}{1}=4:1$