GATE EC 2014 Set 3 — Question 23
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Question
The figure shows a half-wave rectifier. The diode D is ideal. The average steady-state current (in Amperes) through the diode is approximately ____________.

Correct answer
0.08 to 0.12
Solution
Given:
Input voltage V
Peak voltage V
Frequency Hz Period s
Resistance
Capacitance mF FThe time constant of the circuit is s.
Since (), the capacitor does not discharge significantly between cycles. The output voltage remains approximately constant at the peak value V.The average current through the load resistor is:In steady state, the average current through the capacitor is zero. By applying KCL at the output node, the average current through the diode must equal the average current through the resistor:The value A falls within the specified range of 0.08 to 0.12.
Input voltage V
Peak voltage V
Frequency Hz Period s
Resistance
Capacitance mF FThe time constant of the circuit is s.
Since (), the capacitor does not discharge significantly between cycles. The output voltage remains approximately constant at the peak value V.The average current through the load resistor is:In steady state, the average current through the capacitor is zero. By applying KCL at the output node, the average current through the diode must equal the average current through the resistor:The value A falls within the specified range of 0.08 to 0.12.
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