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The current, $\text{i(t)}$, through a $10 \; \Omega$ resistor in series with an inductance, is given by
$i(t)=3+4 \sin \left(100 t+45^{\circ}\right)+4 \sin \left(300 t+60^{\circ}\right)$
Amperes
The $\text{RMS}$ value of the current and the power dissipated in the circuit are :

  1. $\sqrt{41} \mathrm{~A}, 410 \mathrm{~W}$, respectively
  2. $\sqrt{35} \mathrm{~A}, 350 \mathrm{~W}$, respectively
  3. $5 \mathrm{~A}, 250 \mathrm{~W}$, respectively
  4. $11 \mathrm{~A}, 1210 \mathrm{~W}$, respectively
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