Q. An alternating current is given by $i = i_{1} sin ω t + i_{2} cos ω t$ . The r.m.s current is given by

533 170 KCETKCET 2022Electromagnetic Induction Report Error

A

$\frac{i _{1}^{2} + i _{2}^{2}}{2}$

100%

B

$\frac{i _{1}^{2} + i _{2}^{2}}{2}$

0%

C

$\frac{i _{1} + i _{2}}{2}$

0%

D

$\frac{i _{1} - i _{2}}{2}$

0%

Solution:

$i_{r m s} = \frac{i _{1}^{2} + i _{2}^{2}}{2}$