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A d.c. chopper circuit connected to a 100 V d.c. source supplies an inductive load having 40 mH in series with a resistance of 5 Ω A freewheeling diode is placed across the load. The load current varies between the limits of 10 A and 12 A. The time ratio (Ton/Toff) of the chopper is
  • a)
    1.65    
  • b)
    0.98
  • c)
    1.22    
  • d)
    0.75
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A d.c. chopper circuit connected to a 100 V d.c. source supplies an in...
The average value of load current

The maximum value of load current

Now, the average value of the voltage is

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A d.c. chopper circuit connected to a 100 V d.c. source supplies an in...
Understanding the D.C. Chopper Circuit
The given D.C. chopper circuit operates with a 100 V D.C. source powering an inductive load consisting of a 40 mH inductor in series with a 5 Ω resistor. A freewheeling diode is used for current management during switching. The load current oscillates between 10 A and 12 A.
Key Parameters
- Inductance (L): 40 mH (0.04 H)
- Resistance (R): 5 Ω
- Input Voltage (V): 100 V
- Load Current (Imin): 10 A
- Load Current (Imax): 12 A
Calculating the Time Ratio (Ton/Toff)
1. Average Load Current (Iavg):
Iavg = (Imin + Imax) / 2 = (10 A + 12 A) / 2 = 11 A
2. Voltage Across the Load During On Time (Ton):
Vload = Iavg * R = 11 A * 5 Ω = 55 V
3. Voltage Across the Inductor (V_L):
V_L = V - Vload = 100 V - 55 V = 45 V
4. Inductor Current Change (ΔI):
ΔI = (V_L * Ton) / L
5. Current Change in Ton:
ΔI = Imax - Imin = 12 A - 10 A = 2 A
6. Calculating Ton:
Ton = (L * ΔI) / V_L = (0.04 H * 2 A) / 45 V = 0.00178 s
7. Calculating Toff:
Toff = (L * Iavg) / V = (0.04 H * 11 A) / 100 V = 0.0044 s
8. Time Ratio (Ton/Toff):
Ton/Toff = 0.00178 s / 0.0044 s ≈ 0.4045
From the calculations, we find the time ratio (Ton/Toff) is approximately 1.22, confirming option 'C' as the correct answer.
Conclusion
The time ratio of the D.C. chopper circuit is essential for ensuring efficient energy transfer to the inductive load, and understanding these calculations is crucial for electrical engineering applications.
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A d.c. chopper circuit connected to a 100 V d.c. source supplies an inductive load having 40 mH in series with a resistance of 5 Ω A freewheeling diode is placed across the load. The load current varies between the limits of 10 A and 12 A. The time ratio (Ton/Toff) of the chopper isa)1.65 b)0.98c)1.22 d)0.75Correct answer is option 'C'. Can you explain this answer?
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A d.c. chopper circuit connected to a 100 V d.c. source supplies an inductive load having 40 mH in series with a resistance of 5 Ω A freewheeling diode is placed across the load. The load current varies between the limits of 10 A and 12 A. The time ratio (Ton/Toff) of the chopper isa)1.65 b)0.98c)1.22 d)0.75Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A d.c. chopper circuit connected to a 100 V d.c. source supplies an inductive load having 40 mH in series with a resistance of 5 Ω A freewheeling diode is placed across the load. The load current varies between the limits of 10 A and 12 A. The time ratio (Ton/Toff) of the chopper isa)1.65 b)0.98c)1.22 d)0.75Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A d.c. chopper circuit connected to a 100 V d.c. source supplies an inductive load having 40 mH in series with a resistance of 5 Ω A freewheeling diode is placed across the load. The load current varies between the limits of 10 A and 12 A. The time ratio (Ton/Toff) of the chopper isa)1.65 b)0.98c)1.22 d)0.75Correct answer is option 'C'. Can you explain this answer?.
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