An alternating current is given by the equation $i = {i_1}\cos \,\omega \,t + {i_2}\sin \omega \,t$. The r.m.s. current is given by
An alternating current is given by the equation $i = {i_1}\cos \,\omega \,t + {i_2}\sin \omega \,t$. The r.m.s. current is given by
- A
$\frac{1}{{\sqrt 2 }}({i_1} + {i_2})$
- B
$\frac{1}{{\sqrt 2 }}{({i_i} + {i_2})^2}$
- C
$\frac{1}{{\sqrt 2 }}{(i_1^2 + i_2^2)^{1/2}}$
- D
$\frac{1}{2}{(i_1^2 + i_2^2)^{1/2}}$
Similar Questions
Find the rms value for the saw-tooth voltage of peak value $V_0$ from $t = 0$ to $t = 2T$ as shown in figure
Find the rms value for the saw-tooth voltage of peak value $V_0$ from $t = 0$ to $t = 2T$ as shown in figure
In an $ac$ circuit $I = 100\, sin \,200$ $\pi t.$ The time required for the current to achieve its peak value will be
In an $ac$ circuit $I = 100\, sin \,200$ $\pi t.$ The time required for the current to achieve its peak value will be
If a direct current of $'a'$ amp is superimposed with an alternating current $'I = b\,sin \,\omega t',$ then effective value of resulting current is
If a direct current of $'a'$ amp is superimposed with an alternating current $'I = b\,sin \,\omega t',$ then effective value of resulting current is
Find the effective value of current $i = 2\, sin\, 100\pi t + 2cos\,(100\pi t + 30^o)$
Find the effective value of current $i = 2\, sin\, 100\pi t + 2cos\,(100\pi t + 30^o)$
The current flowing through an ac circuit is given by
$I=5 \sin (120 \pi t) A$
How long will the current take to reach the peak value starting from zero?
The current flowing through an ac circuit is given by
$I=5 \sin (120 \pi t) A$
How long will the current take to reach the peak value starting from zero?
- [JEE MAIN 2022]