Questions in Alternating Current

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If ${E_0}$ represents the peak value of the voltage in an ac circuit, the r.m.s. value of the voltage will be
The peak value of 220 volts of ac mains is
A sinusoidal ac current flows through a resistor of resistance R. If the peak current is${I_p}$, then the power dissipated is
A $40 \Omega$ electric heater is connected to a 200 V, 50 Hz mains supply. The peak value of electric current flowing in the circuit is approximately
The frequency of ac mains in India is
The r.m.s. value of an ac of 50 Hz is 10 amp. The time taken by the alternating current in reaching from zero to maximum value and the peak value of current will be
The root mean square value of the alternating current is equal to
The peak value of an alternating e.m.f. E is given by $E = {E_0}\cos \omega \,t$ is 10 volts and its frequency is $50 Hz$. At time $t = \frac{1}{{600}}sec$, the instantaneous e.m.f. is
If a current I given by ${I_0}\sin \,\left( {\omega \,t - \frac{\pi }{2}} \right)$ flows in an ac circuit across which an ac potential of $E = {E_0}\sin \omega \,t$ has been applied, then the power consumption P in the circuit will be
In an ac circuit, the instantaneous values of e.m.f. and current are $e = 200 \sin 314 t$ volt and $i = \sin \,\left( {314t + \frac{\pi }{3}} \right)$ ampere. The average power consumed in watt is

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