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Efficiency of a centre tapped full wave rectifier is _________
- a)50%
- b)46%
- c)70%
- d)81.2%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Efficiency of a centre tapped full wave rectifier is _________a)50%b)4...
Efficiency of a rectifier is the effectiveness to convert AC to DC. It’s obtained by taking ratio of DC power output to maximum AC power delivered to load. It’s usually expressed in percentage. For centre tapped full wave rectifier, it’s 81.2%.
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Efficiency of a centre tapped full wave rectifier is _________a)50%b)4...
Efficiency of a Centre Tapped Full Wave Rectifier
Efficiency of a rectifier is the ratio of DC power output to the AC power input. The efficiency of a centre tapped full wave rectifier can be calculated as follows:
- The output voltage of a centre tapped full wave rectifier is Vdc = Vm/π.
- The output power is Pdc = Vdc²/Rload.
- The input power is Pinput = Vp²/(2Rload).
- The efficiency is η = Pdc/Pinput = (Vdc²/Rload)/(Vp²/(2Rload)) = π²/4 = 81.2%.
Therefore, the efficiency of a centre tapped full wave rectifier is 81.2%.
Explanation:
A centre tapped full wave rectifier is a type of rectifier that uses a transformer with a centre tap on the secondary winding. The AC input voltage is applied across the two ends of the secondary winding, and the centre tap is connected to the ground. The output voltage is taken across the two ends of the load resistor connected to the secondary winding.
During the positive half-cycle of the AC input voltage, the diode connected to the upper end of the secondary winding conducts, and the diode connected to the lower end is reverse biased. The current flows through the load resistor in the direction of the arrow. During the negative half-cycle, the diode connected to the lower end conducts, and the diode connected to the upper end is reverse biased. The current flows through the load resistor in the opposite direction of the arrow. Therefore, the output voltage is a full-wave rectified voltage.
The efficiency of a rectifier is the ratio of DC power output to the AC power input. The DC power output is the product of the DC voltage and the DC current flowing through the load resistor. The DC voltage of a centre tapped full wave rectifier is half of the peak AC voltage, which is equal to the RMS voltage divided by the square root of 2. The DC current flowing through the load resistor is the same as the AC current flowing through it. The AC power input is the product of the RMS voltage and the RMS current flowing through the load resistor. Therefore, the efficiency of a centre tapped full wave rectifier is calculated as shown above.
Efficiency of a rectifier is the ratio of DC power output to the AC power input. The efficiency of a centre tapped full wave rectifier can be calculated as follows:
- The output voltage of a centre tapped full wave rectifier is Vdc = Vm/π.
- The output power is Pdc = Vdc²/Rload.
- The input power is Pinput = Vp²/(2Rload).
- The efficiency is η = Pdc/Pinput = (Vdc²/Rload)/(Vp²/(2Rload)) = π²/4 = 81.2%.
Therefore, the efficiency of a centre tapped full wave rectifier is 81.2%.
Explanation:
A centre tapped full wave rectifier is a type of rectifier that uses a transformer with a centre tap on the secondary winding. The AC input voltage is applied across the two ends of the secondary winding, and the centre tap is connected to the ground. The output voltage is taken across the two ends of the load resistor connected to the secondary winding.
During the positive half-cycle of the AC input voltage, the diode connected to the upper end of the secondary winding conducts, and the diode connected to the lower end is reverse biased. The current flows through the load resistor in the direction of the arrow. During the negative half-cycle, the diode connected to the lower end conducts, and the diode connected to the upper end is reverse biased. The current flows through the load resistor in the opposite direction of the arrow. Therefore, the output voltage is a full-wave rectified voltage.
The efficiency of a rectifier is the ratio of DC power output to the AC power input. The DC power output is the product of the DC voltage and the DC current flowing through the load resistor. The DC voltage of a centre tapped full wave rectifier is half of the peak AC voltage, which is equal to the RMS voltage divided by the square root of 2. The DC current flowing through the load resistor is the same as the AC current flowing through it. The AC power input is the product of the RMS voltage and the RMS current flowing through the load resistor. Therefore, the efficiency of a centre tapped full wave rectifier is calculated as shown above.
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