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In input in a full - wave rectifier is e...

In input in a full - wave rectifier is `e=50 sin(314t)" volt"`, diode resistance is `100Omega` and load resistance is `1kOmega` then, pulse frequency of output voltage is

A

50 Hz

B

100 Hz

C

150 Hz

D

200 Hz

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The correct Answer is:
To solve the problem, we need to determine the pulse frequency of the output voltage from a full-wave rectifier given the input voltage. ### Step-by-Step Solution: 1. **Identify the Input Voltage**: The input voltage is given as \( e = 50 \sin(314t) \) volts. 2. **Determine the Angular Frequency (\( \omega \))**: From the equation \( e = A \sin(\omega t) \), we can identify that \( \omega = 314 \) rad/s. 3. **Calculate the Frequency (\( f \))**: The relationship between angular frequency and frequency is given by: \[ \omega = 2\pi f \] Rearranging this gives: \[ f = \frac{\omega}{2\pi} \] Substituting the value of \( \omega \): \[ f = \frac{314}{2\pi} \approx \frac{314}{6.28} \approx 50 \text{ Hz} \] 4. **Determine the Output Frequency**: In a full-wave rectifier, the output frequency is double that of the input frequency. Therefore: \[ f_{\text{output}} = 2 \times f_{\text{input}} = 2 \times 50 \text{ Hz} = 100 \text{ Hz} \] 5. **Conclusion**: The pulse frequency of the output voltage is \( 100 \text{ Hz} \). ### Final Answer: The pulse frequency of the output voltage is **100 Hz**.
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