Alternating Current
Find the time required for a 50 Hz alternating current to change its value from zero to the rms value.
The maximum value of a.c. voltage in a circuit is 707V. Its r.m.s. value is
As we know,
$$V_{rms}=\dfrac{V_0}{\sqrt 2}$$
$$V_{rms}=\dfrac{707}{\sqrt 2}=500\ V$$
Find the time required for a 50 Hz alternating current to change its value from zero to the rms value.
The household supply of electricity is at 220 V (rms value) and 50 Hz. Find the peak voltage and the least possible time in which can change from the rms value to zero.
What is the $$r.m.s.$$ value of an alternating current which when passed through a resistor produces head which is thrice of that produced by a direct current of $$2$$ amperes in the same resistor:-
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 ratio of peak value and r.m.s value of an alternating current is
A mixer of 100$$\Omega $$ resistance is connected to an A.C. source of 200V and 50 cycles/sec. The value of average potential difference across the mixer will be:
A steady potential difference of 100 V produces heat at a constant rate in a resistor. The alternating voltage which will produce half the heating effect in the same resister will be
$$\displaystyle I = 6\cos wt + 8\sin wt$$ is applied across a resistor of 40 $$\Omega$$. Find the potential difference across the resistor.
The instantaneous voltage from an ac source is given by $$E=300 sin 314t$$; what is the rms voltage of the source?
A light bulb is rated at $$100W$$ for a $$220V$$ ac supply. Calculate the resistance of the bulb.