An $AC$ current is given by $I = I _{1} \sin \omega t + I _{2} \cos \omega t$. A hot wire ammeter will give a reading

  • [JEE MAIN 2021]
  • A

    $\sqrt{\frac{I_{1}^{2}-I_{2}^{2}}{2}}$

  • B

    $\sqrt{\frac{ I _{1}^{2}+ I _{2}^{2}}{2}}$

  • C

    $\frac{ I _{1}+ I _{2}}{\sqrt{2}}$

  • D

    $\frac{ I _{1}+ I _{2}}{2 \sqrt{2}}$

Similar Questions

In an ac circuit, peak value of voltage is $423\, volts$. Its effective voltage is .......... $volts$

What is the sum of the instantaneous current values over one complete $AC$ cycle ?

An alternating voltage $E = 200\sqrt 2\, \sin\, (100\,t)$ is connected to a $1$ microfarad capacitor through an ac ammeter. The reading of the ammeter shall be......$mA$

A resistance of $40 \,\Omega$ is connected to a source of alternating current rated $220\, V , 50 Hz$. Find the time taken by the current to change from its maximum value to $ms$ value

  • [JEE MAIN 2022]

The power is transmitted from a power house on high voltage $ac$ because