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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

Explanation:
This problem can be solved by superposition principle.

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




By superposition theorem,

RMS value of i(t)

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