GATE EC 2015 Set 3 — Question 18
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
At very high frequencies, the peak output voltage (in Volts) is ________.
Correct answer
0.49 to 0.51
Solution
At very high frequencies, the impedance of a capacitor approaches zero, meaning capacitors act as short circuits.
1.The input capacitor is a short, so the input voltage is applied directly to the resistive network.
2.The middle capacitor is a short, connecting the midpoints of the two vertical resistive branches.
3.The bottom capacitor is a short, connecting the bottom of the resistors to ground.
The circuit simplifies to a bridge where the midpoints are shorted. The upper part consists of two resistors in parallel (), and the lower part consists of two resistors in parallel ().This forms a voltage divider. The voltage at the midpoint (junction of the resistors) is:The output voltage is taken across the top-right resistor:Given the peak input voltage is , the peak output voltage is:Continue learning with Success Tracker
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