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A full wave rectifier with a load resistance of 5KΩ uses an inductor filter of 15henry. The peak value of applied voltage is 250V and the frequency is 50 cycles per second. Calculate the ripple factor (ϒ).
  • a)
    0.1
  • b)
    0.6
  • c)
    0.5
  • d)
    0.4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A full wave rectifier with a load resistance of 5KΩ uses an indu...
 ϒ=IAC/IDC, IAC=2√2Vm/3π(RL2+4ω2L2)1/2
By putting the values, IAC=4.24Ma. VDC=2Vm/π, IDC=VDC/RL=2Vm/RL π
IDC=2*250/(3.14*15*103)=10.6mA. ϒ=4.24/10.6=0.4.
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Most Upvoted Answer
A full wave rectifier with a load resistance of 5KΩ uses an indu...
Assuming that the inductor filter is ideal and there is no resistance in the circuit, the ripple factor can be calculated as follows:

Ripple factor = Vrms (AC component) / Vdc (DC component)

First, we need to calculate the DC component of the output voltage. For a full wave rectifier, the peak voltage is given by:

Vp = Vm

where Vm is the peak value of the applied voltage. Therefore, Vp = 250V.

The RMS value of the voltage across the load resistance can be calculated as:

Vrms = Vp / sqrt(2)

Vrms = 176.78V

The DC component of the output voltage can be calculated as follows:

Iavg = Vp / (2 * L * f)

where L is the inductance of the filter and f is the frequency of the applied voltage.

Iavg = 250 / (2 * 15 * 50)

Iavg = 0.1667A

The DC component of the output voltage is given by:

Vdc = Iavg * R

where R is the load resistance.

Vdc = 0.1667 * 5000

Vdc = 833.3V

Therefore, the ripple factor is:

Ripple factor = Vrms (AC component) / Vdc (DC component)

Ripple factor = 176.78 / 833.3

Ripple factor = 0.2121

Therefore, the ripple factor of the full wave rectifier with an inductor filter and a load resistance of 5K is 0.2121.
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A full wave rectifier with a load resistance of 5KΩ uses an inductor filter of 15henry. The peak value of applied voltage is 250V and the frequency is 50 cycles per second. Calculate the ripple factor (ϒ).a)0.1b)0.6c)0.5d)0.4Correct answer is option 'D'. Can you explain this answer?
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