Medium INTEGER +4 / -1 PYQ · JEE Mains 2021

The alternating current is given by $i = \left\{ {\sqrt {42} \sin \left( {{{2\pi } \over T}t} \right) + 10} \right\}A$

The r.m.s. value of of this current is ................. A.

Answer (integer) 11

Solution

$f_{rms}^2 = f_{1\,rms}^2 + f_{2\,rms}^2$<br><br>$= {\left( {{{\sqrt {42} } \over {\sqrt 2 }}} \right)^2} + {10^2}$<br><br>$= 121 \Rightarrow {f_{rms}}$ = 11 A

About this question

Subject: Physics · Chapter: Alternating Current · Topic: AC Circuits: R, L, C

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