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A single phase Centre-tap transformer rectifier  is required to be designed for AC-DC rectification with a transformation ratio 6:1:1 and energized from AC input of 230V 50Hz supply. with no filter capacitor. The load resistor is approximately 5.4 Ohm. The minimum PIV Rating of each of the diodes is:Select one:a. 38 Vb. 76 Vc. 108 Vd. 54 V

Question

A single phase Centre-tap transformer rectifier  is required to be designed for AC-DC rectification with a transformation ratio 6:1:1 and energized from AC input of 230V 50Hz supply. with no filter capacitor. The load resistor is approximately 5.4 Ohm. The minimum PIV Rating of each of the diodes is:Select one:a. 38 Vb. 76 Vc. 108 Vd. 54 V

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Solution

The Peak Inverse Voltage (PIV) of a diode in a center-tap full-wave rectifier can be calculated using the formula:

PIV = 2 * Vm

Where Vm is the peak voltage of the secondary winding of the transformer.

Given that the transformation ratio is 6:1:1, the voltage on the secondary winding (Vs) is:

Vs = Vin / transformation ratio = 230V / 6 = 38.33V

The peak voltage (Vm) is √2 times the RMS voltage (Vs), so:

Vm = √2 * Vs = √2 * 38.33V = 54.19V

Therefore, the PIV of each diode is:

PIV = 2 * Vm = 2 * 54.19V = 108.38V

So, the minimum PIV rating of each of the diodes should be 108V. Therefore, the correct answer is c. 108 V.

This problem has been solved

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