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Ac To Dc Rectified Voltage Dc Calculator Formula

Rectified Voltage Formula:

\[ V_{dc} = V_{rms} \times \sqrt{2} \times \frac{2}{\pi} \]

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1. What is Rectified DC Voltage?

Rectified DC voltage is the average voltage output obtained after converting AC voltage to DC using a full-wave rectifier. It represents the equivalent DC voltage that would deliver the same power as the original AC voltage.

2. How Does the Calculator Work?

The calculator uses the rectified voltage formula:

\[ V_{dc} = V_{rms} \times \sqrt{2} \times \frac{2}{\pi} \]

Where:

Explanation: The formula accounts for the peak voltage of the AC waveform and then calculates the average value of the rectified waveform.

3. Importance of Rectified Voltage Calculation

Details: Calculating rectified voltage is essential for designing power supplies, determining appropriate filter capacitor values, and ensuring proper operation of DC-powered circuits.

4. Using the Calculator

Tips: Enter the RMS voltage value in volts. The value must be positive. The calculator will compute the average DC voltage after full-wave rectification.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between Vrms and Vdc?
A: Vrms is the effective AC voltage, while Vdc is the average DC voltage after rectification.

Q2: Does this formula work for half-wave rectification?
A: No, for half-wave rectification, divide the result by 2 as only half the waveform is used.

Q3: Why is π (pi) in the formula?
A: Pi appears because we're calculating the average value of a sine wave over its full cycle.

Q4: How does this relate to peak voltage?
A: The peak voltage is Vrms × √2. The rectified DC voltage is the average of this peak value.

Q5: What about voltage drop from diodes?
A: This calculation assumes ideal diodes. For real diodes, subtract about 1.4V (for two diodes in full-wave rectification).

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