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The diodes D1 and D2 in the figure are ideal and the capacitors are identical. The product RC is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage V0 (in volt) at the steady state is -----------
The ac source is 10 sin ωt, connected between the left node and the midpoint of two identical capacitors C connected in series between the top and bottom rails. Ideal diode D1 is on the top rail from left to right, ideal diode D2 is on the bottom rail from left to right, and the load resistor R is connected between the top and bottom rails with V0 measured across R, positive at the top rail and negative at the bottom rail.
- 0
- 5
- 10
- 20
Correct answer: 20
Solution
In steady state, the ideal diodes D1 and D2 conduct during the positive and negative halves of the AC cycle, respectively, allowing the full amplitude of the AC voltage to appear across the load resistor R. Since the AC source has a peak voltage of 10 volts, the output voltage V0 across R effectively doubles to 20 volts due to the contributions from both halves of the waveform.
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