An alternating current is given by the equation $i=i_{1} \sin \omega t+i_{2} \cos \omega t$. The rms current will be
An alternating current is given by the equation $i=i_{1} \sin \omega t+i_{2} \cos \omega t$. The rms current will be
- [JEE MAIN 2021]
- A
$\frac{1}{\sqrt{2}}\left(i_{1}^{2}+i_{2}^{2}\right)^{\frac{1}{2}}$
- B
$\frac{1}{\sqrt{2}}\left( i _{1}+ i _{2}\right)^{2}$
- C
$\frac{1}{2}\left( i _{1}^{2}+ i _{2}^{2}\right)^{\frac{1}{2}}$
- D
$\frac{1}{\sqrt{2}}\left( i _{1}+ i _{2}\right)$
Similar Questions
A direct current of $10 \,A$ is superimposed on an alternating current $I=40 \cos \omega t\;( A )$ flowing through a wire. The effective value of the resulting current will be ....... $A$
A direct current of $10 \,A$ is superimposed on an alternating current $I=40 \cos \omega t\;( A )$ flowing through a wire. The effective value of the resulting current will be ....... $A$
Assertion : Ohm’s law cannot be applied to $a.c$ circuit.
Reason : Resistance offered by capacitor for a.c source depends upon the frequency of the source.
Assertion : Ohm’s law cannot be applied to $a.c$ circuit.
Reason : Resistance offered by capacitor for a.c source depends upon the frequency of the source.
- [AIIMS 2009]
In general in an alternating current circuit
In general in an alternating current circuit
A resistance of $20$ ohms is connected to a source of an alternating potential $V = 220\,sin\,(100\,\pi t)$. The time taken by the current to change from its peak value to r.m.s value is
A resistance of $20$ ohms is connected to a source of an alternating potential $V = 220\,sin\,(100\,\pi t)$. The time taken by the current to change from its peak value to r.m.s value is
An alternating voltage is represented as $E = 20\,sin \,300t.$ The average value of voltage over one cycle will be.......$V$
An alternating voltage is represented as $E = 20\,sin \,300t.$ The average value of voltage over one cycle will be.......$V$