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1-Phase Diode Bridge Rectifiers RL Load

A single-phas...

Question

A single-phase diode bridge rectifier is feeding an R-L load through a transformer with ac supply of 230 V, 50 Hz with load current, $I_{0} = 14 A$ . The value of average power (in W) delivered if the transformer ratio is 1 will be ______ (up to 2 decimal places).

2898.9

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Solution

The correct option is A 2898.9
Given, input voltage is sinusoidal.

$O u t p u t l o a d c u r r e n t, I_{0} = 14 A$

$A v e r a g e o u t p u t c u r r e n t = I_{0}$

$A v e r a g e o u t p u t v o l t a g e = \frac{2 V_{m}}{π} = \frac{2 \sqrt{2} \times 230}{π} = 207.07 V$

$P o w e r d e l i v e r e d t o l o a d = V_{0} I_{0} = 207.07 \times 14$
=2898.98 W

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