Question 18.18: A bridge rectifier uses four identical diodes having forward...

A bridge rectifier uses four identical diodes having forward resistance of 5 Ω and the secondary voltage is 30 V(rms). Determine the d.c. output voltage for I_{d.c.} = 200 mA and value of the output ripple voltage.

The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Given Transformer secondary resistance = 5 Ω
Secondary voltage V_{rms} = 30 V, I_{d.c.} = 200 mA
Since only two diodes of the bridge rectifier circuit will conduct during positive of negative half cycle of the input signal, the diode forward resistance r_{f} = 2 × 5 Ω = 10 Ω
We know that,

V_{d.c.} = \frac{2V_{m}}{\pi}– I_{d.c.} (r_{f} + r_{s}) where V_{m} =\sqrt{2} V_{rms} =\sqrt{2} × 30 V

Therefore, V_{d.c.} =\frac{2 ×\sqrt{2} × 30}{\pi} – 200 × 10^{–3} (10 +5) = 24 V

Ripple factor = \frac{rms\,value\,of\,ripple\,at\,the\,output}{average\, value\,of\,output\,voltage}

Therefore, 0.48 = \frac{rms\, value\, of\, ripple\, at \,the \,output}{24}
Hence, rms value of ripple at the output = 0.48 × 24 = 11.52 V

Related Answered Questions