The sinusoidal potential difference V_1 shown in figure applied a… - Vidyadip

MCQ

The sinusoidal potential difference $V_1$ shown in figure applied across a resistor $R$ produces heat at a rate $W$. What is the rate of heat dissipation when the square wave potential difference $V_2$ as shown in figure is applied across the resistor?

A
$\frac{W}{2}$
B
$W$
C
$\sqrt{2} W$
✓
$2 W$

✓

Answer

Correct option: D.

$2 W$

d
(d)

$\operatorname{Power}(P)=\frac{V_{ ms }^2}{R}$

According to the problem

$w=\frac{\left(\frac{V_0}{\sqrt{2}}\right)^2}{R}$

for square wave $V_{ rms }=V_0$

$W^{\prime}=\frac{V_0^2}{R}$

$\frac{W^{\prime}}{W}=2, \quad W^{\prime}=2\, W$

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