GATE EC 2024 Set 1 — Question 23
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Analog Circuits → Diode Circuits → HW, FW & Bridge Rectifiers
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Question
In the circuit shown, the step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Volts) is and the average value of load voltage (in Volts) is , the value of is ______.
Correct answer
(A) 4
Solution
The given circuit is a center-tapped full-wave rectifier.
1.Input Voltage: The primary voltage is . The peak primary voltage is V.
2.Secondary Voltage: The transformer has a turns ratio of . The peak voltage across the entire secondary winding is:
3.Voltage per Half-Secondary: In a center-tapped rectifier, the load is connected between the center tap and the junction of the two diodes. The peak voltage across each half of the secondary winding (which is the peak voltage applied to the load) is:
4.Average Load Voltage: For a full-wave rectifier, the average (DC) value of the load voltage is given by:
5.Finding : We are given . Substituting the expression for :
Thus, the value of is 4.Continue learning with Success Tracker
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