(A) The time period $T$ of the $AC$ source is given by $T = \frac{1}{f} = \frac{1}{60 \,Hz} \approx 0.01667 \,s = 16.67 \,ms$.The average value of an

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(A) The time period $T$ of the $AC$ source is given by $T = \frac{1}{f} = \frac{1}{60 \,Hz} \approx 0.01667 \,s = 16.67 \,ms$.The average value of an alternating voltage $V(t) = V_m \sin(\omega t)$ over one complete cycle (time interval $T$) is given by $V_{avg} = \frac{1}{T} \int_{0}^{T} V_m \sin(\omega t) \,dt$.Since the integral of a sine function over one complete period is zero,the average voltage over $16.67 \,ms$ must be zero.

Class 12 Physics Alternating Current Alternating Current, Voltage (rms and Average)

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An $AC$ source is rated $222 \,V, 60 \,Hz$. The average voltage is calculated in a time interval of $16.67 \,ms$. It

A
Must be zero
B
May be zero
C
Is never zero
D
Is $(111 \sqrt{2}) \,V$

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Class 12

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Alternating Current

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Alternating Current, Voltage (rms and Average)

The root mean square $(RMS)$ value of the alternating current is equal to:

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An $AC$ source has a voltage of $220V$ and a frequency of $50\,Hz$. How much time (in $sec$) does it take for the voltage to reach zero from its maximum value?

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In an $AC$ circuit,the peak value of voltage is $423 \ V$. Its effective voltage is .......... $V$.

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$A$ $10\, \Omega$ resistance is connected across $220\, V - 50\, Hz$ $AC$ supply. The time taken by the current to change from its maximum value to the rms value is $....\, ms$.

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Match the following:

Currents $r.m.s.$ values

$(A) \ x_0 \sin \omega t$ $(i) \ x_0$

$(B) \ x_0 \sin \omega t \cos \omega t$ $(ii) \ \frac{x_0}{\sqrt{2}}$

$(C) \ x_0 \sin \omega t + x_0 \cos \omega t$ $(iii) \ \frac{x_0}{2\sqrt{2}}$

Currents	$r.m.s.$ values
$(A) \ x_0 \sin \omega t$	$(i) \ x_0$
$(B) \ x_0 \sin \omega t \cos \omega t$	$(ii) \ \frac{x_0}{\sqrt{2}}$
$(C) \ x_0 \sin \omega t + x_0 \cos \omega t$	$(iii) \ \frac{x_0}{2\sqrt{2}}$

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An $AC$ source is rated $222 \,V, 60 \,Hz$. The average voltage is calculated in a time interval of $16.67 \,ms$. It

Similar Questions

The root mean square $(RMS)$ value of the alternating current is equal to:

An $AC$ source has a voltage of $220V$ and a frequency of $50\,Hz$. How much time (in $sec$) does it take for the voltage to reach zero from its maximum value?

In an $AC$ circuit,the peak value of voltage is $423 \ V$. Its effective voltage is .......... $V$.

$A$ $10\, \Omega$ resistance is connected across $220\, V - 50\, Hz$ $AC$ supply. The time taken by the current to change from its maximum value to the rms value is $....\, ms$.

Match the following: Currents $r.m.s.$ values $(A) \ x_0 \sin \omega t$ $(i) \ x_0$ $(B) \ x_0 \sin \omega t \cos \omega t$ $(ii) \ \frac{x_0}{\sqrt{2}}$ $(C) \ x_0 \sin \omega t + x_0 \cos \omega t$ $(iii) \ \frac{x_0}{2\sqrt{2}}$

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Match the following:

Currents $r.m.s.$ values

$(A) \ x_0 \sin \omega t$ $(i) \ x_0$

$(B) \ x_0 \sin \omega t \cos \omega t$ $(ii) \ \frac{x_0}{\sqrt{2}}$

$(C) \ x_0 \sin \omega t + x_0 \cos \omega t$ $(iii) \ \frac{x_0}{2\sqrt{2}}$