Question

Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is

• A. 1:02
• B. 2:01
• C. 1:04
• D. 4:01

Answer 1

The Correct Option is C

$H_1 = \frac{V^2t}{2R}$ ( $\because$ R' = R + R =2R) $H_2 = \frac{2V^2t}{R}$ $\left ( \because \frac{1}{R'} = \frac{1}{R} + \frac{1}{R} = \frac{2}{R} \right)$ $\therefore$ $\frac{H_1}{_2} = \frac{1}{4}$