GATE EC 2026 Set 1 — Question 65
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Question
Consider the ideal diodes and as shown in the Figure with cut-in voltage Volt and is in Volt.The maximum voltage (Volt) of the output is ________.
(rounded off to two decimal places)
(rounded off to two decimal places)

Correct answer
3.7 to 4.3
Solution
Given the input signal , the peak input voltage is . The diodes are ideal with .Let's analyze the circuit at the output node :
1.Branch 2 Analysis: Diode has its cathode connected to and its anode connected to a source. is forward-biased (ON) if , i.e., . When is ON, it acts as a short circuit, clamping the output to .
2.Branch 1 Analysis: This branch contains a resistor in series with diode (anode up) and a source. is ON if the voltage at its anode is greater than .
3.Determining if can exceed 4 V: For to be greater than , must be reverse-biased (OFF). If is OFF and is ON (which it would be if ), the circuit is a voltage divider between the series resistor and the resistor in Branch 1.
The output voltage would be:4.Peak Output: At the peak of the input, :
At this point, is at the edge of conduction. For any , the expression would be less than , meaning would turn ON and clamp the output to .Thus, the output voltage is constant at throughout the cycle. The maximum voltage is .Continue learning with Success Tracker
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