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 of:

  • 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
    $\frac{I_{1}+I_{2}}{2 \sqrt{2}}$

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