Discussion
A full wave rectifier supplies DC voltage to a load resistance of 2 k\(\Omega\). The AC voltage applied to the diodes is 300-0-300 Volts rms. If the diode voltage drop is neglected, the average DC voltage across the load is nearly :
Answer: B
The average DC voltage is nearly 270 Volts.
With a 300-0-300 V centre-tapped transformer, each diode is fed by 300 V rms, whose peak is \(V_{m} = 300\sqrt{2} = 424\) V. A full-wave rectifier's average output is \(2V_{m}/\pi\):
\[ \begin{aligned} V_{dc} &= \frac{2V_{m}}{\pi} = \frac{2 \times 424.3}{3.1416} \\ &\approx 270\ \text{V} \end{aligned} \]
That is 0.9 times the rms value. 300 V confuses rms with average, 150 V is half the rms value (the half-wave average would be \(V_{m}/\pi = 135\) V), and the load resistance does not affect the average voltage when diode drops are neglected.
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