Question

An AC having peak value $14\text{A}$ is used to heat a metal wire. To produce the same heating in the same time interval, a DC required of -

• A. $\approx 19\text{A}$
• B. $\approx 17\text{A}$
• C. $\approx 15\text{A}$
• D. $\approx 10\text{A}$

Answer 1

The correct option is D $\approx 10\text{A}$

An RMS value of AC will produce the same heating in the same time as by a DC.

So, value of DC,

$=i_{rms}=\frac{i_0}{\sqrt{2}}=\frac{14}{\sqrt{2}}\approx 10\text{A}$