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Q#1 Sinusoidal Steady State Analysis GATE EE 2015 NAT +2 marks -0 marks

The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in Volt) is given by . If the circuit is in steady state, then the RMS value of the current (in Ampere) flowing in the circuit is

27.jpg

Explanation:

This problem can be solved by superposition principle.

C:\Personal\GATE Guru\GATE-2015 Solutions\Session-1\Mor session\17.jpg

Solving with DC source alone by short circuiting the AC source:

In steady state, inductor is short – circuited,

Solving with AC source alone by short circuiting the DC Source:

=1,

v(t) = 12 sin t

C:\Personal\GATE Guru\GATE-2015 Solutions\Session-1\Mor session\18.jpg

By superposition theorem,

 

RMS value of i(t)

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