The sinusoidal potential difference V1 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 V2 as shown in figure is applied across the resistor?

Question

The sinusoidal potential difference V1 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 V2 as shown in figure is applied across the resistor? (A) (W/2) (B) W (C) √2 W (D) 2 W

Tardigrade Admin · Accepted Answer

Power (P)=(V textrms2/R) According to the problem w=(((V0/√2))2/R) for square wave V textrms=V0 W'=(V02/R) (W'/W)=2, W'=2 W

Q. 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?

$\frac{W}{2}$

$W$

$2 W$

$2 W$

Power $(P) = \frac{V _{rms}^{2}}{R}$
According to the problem
$w = \frac{( \frac{V _{0}}{2} ) ^{2}}{R}$
for square wave $V_{rms} = V_{0}$
$W^{'} = \frac{V _{0}^{2}}{R}$
$\frac{W ^{'}}{W} = 2,$
$W^{'} = 2 W$

Q. The sinusoidal potential difference V1​ 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 V2​ as shown in figure is applied across the resistor?

2W​

W

2​W

2W

Power (P)=RVrms2​​ According to the problem w=R(2​V0​​)2​ for square wave Vrms​=V0​ W′=RV02​​ WW′​=2, W′=2W

Q. 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?

$\frac{W}{2}$

$W$

$2 W$

$2 W$

Power $(P) = \frac{V _{rms}^{2}}{R}$
According to the problem
$w = \frac{( \frac{V _{0}}{2} ) ^{2}}{R}$
for square wave $V_{rms} = V_{0}$
$W^{'} = \frac{V _{0}^{2}}{R}$
$\frac{W ^{'}}{W} = 2,$
$W^{'} = 2 W$