Question

In single phase half wave rectifier input is 100V (rms), 50Hz AC. Its average output
voltage is _____V

Answer 1

Answer:

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Answer 2

Answer:

The average output voltage, $V_{out}$, calculated is $22.5V$.

Explanation:

Data given,

The input voltage of the single-phase half-wave rectifier, $V_{in}$ = $100V$

The frequency of the single-phase half-wave rectifier = $50Hz$

The average output voltage, $V_{out}$ =?

From the formula given below, we can find out the average output voltage:

• $V_{out}$ = $\frac{V_{m} }{2\pi }$     -------equation (1)

For this, we have to find out the peak value of the voltage ( $V_{m}$ ):

• $V_{m} = \sqrt{2} \times V_{in}$

Therefore,

• $V_{m} = 1.414 \times 100$      ( $\sqrt{2} = 1.414$ )
• $V_{m} = 141.4V$

After putting the calculated value of $V_{m}$ in equation (1), we get:

• $V_{out}$ = $\frac{141.4 }{2(3.14)}$      ( $\pi = 3.14$ )
• $V_{out}$ =  $\frac{141.4 }{6.28}$
• $V_{out}$ =  $22.5V$

Hence, the average output voltage of the single-phase half-wave rectifier, $V_{out}$ = $22.5V$.