GATE EE 2014 Set 1 — Question 34
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Analog & Digital Electronics → AC-DC Converters → Rectifiers (HW, FW, Bridge)
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Question
The figure shows the circuit of a rectifier fed from a 230-V (rms), 50-Hz sinusoidal voltage source. If we want to replace the current source with a resistor so that the rms value of the current supplied by the voltage source remains unchanged, the value of the resistance (in ohms) is __________ (Assume diodes to be ideal.)
Correct answer
23 to 23
Solution
The current source is connected to a full-bridge rectifier. The current drawn from the AC source is a square wave with peak value .
The RMS value of this square wave current is .
If the current source is replaced by a resistor , the current drawn from the source will be sinusoidal: .
The RMS value of this sinusoidal current is .
For the RMS current to remain unchanged: .
The RMS value of this square wave current is .
If the current source is replaced by a resistor , the current drawn from the source will be sinusoidal: .
The RMS value of this sinusoidal current is .
For the RMS current to remain unchanged: .
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