GATE EC 2015 Set 2 — Question 17
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Network Theory → Circuit Fundamentals & Theorems → Sinusoidal Steady-State
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Question
In the circuit shown, the average value of the voltage (in Volts) in steady state condition is ______.
Correct answer
4.9 to 5.1
Solution
The average value of a steady-state voltage is its DC component.
1.For the AC component , the average value over a full cycle is zero.
2.For the DC component ( source), in steady state:
- The capacitor acts as an open circuit.
- The inductor acts as a short circuit.
- The AC source is replaced by its internal impedance (short circuit for an ideal voltage source).
- The DC voltage at node 'b' is (connected to ground through the AC source and resistor with zero current).
- The DC voltage at node 'a' is (connected to the source through the resistor and inductor with zero current).
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