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
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
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Two cables of copper are of equal lengths. One of them has a single wire of area of cross-section $A$, while other has $10$ wires of cross-sectional area $A / 10$ each. Give their suitability for transporting $A.C.$ and $D.C.$
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- [AIPMT 1994]
In general in an alternating current circuit
In general in an alternating current circuit
The alternating current in a circuit is described by the graph shown in figure. Show rms current in this graph.
The alternating current in a circuit is described by the graph shown in figure. Show rms current in this graph.
An AC source is rated $222 \,V , 60 \,Hz$. The average voltage is calculated in a time interval of $16.67 \,ms$. It
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