Q147 / 180 · COMEDK 2025 (10 May Shift 3) · Physics
What is the dc component of the output voltage if a sinusoidal signal of 33 V peak voltage is the input of a half wave diode rectifier circuit?
- A3.5 V
- B12.5 V
- Correct answerC10.5 V
- D2.9 V
Solution
For a half-wave rectifier, the output voltage is a rectified sine wave. The dc component or the average value of the output voltage $V_{dc}$ is given by the formula $V_{dc} = \dfrac{V_m}{\pi}$, where $V_m$ is the peak voltage of the input sinusoidal signal.
Given $V_m = 33$ V, we substitute this value into the formula:
$V_{dc} = \dfrac{33}{\pi}$
Using the approximation $\pi \approx 3.14159$:
$V_{dc} \approx \dfrac{33}{3.14159} \approx 10.504$ V.
Rounding to the nearest value provided in the options, we get $10.5$ V.
Answer: 10.5 V
Given $V_m = 33$ V, we substitute this value into the formula:
$V_{dc} = \dfrac{33}{\pi}$
Using the approximation $\pi \approx 3.14159$:
$V_{dc} \approx \dfrac{33}{3.14159} \approx 10.504$ V.
Rounding to the nearest value provided in the options, we get $10.5$ V.
Answer: 10.5 V
Hence, the correct answer is option: 'C'.