A step-up chopper shown in figure is to deliver 3AIn to the 10 andOmega; load. The battery voltage is 12 V, L = 20 andmu;H, C = 100 andmu;F and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ andmu;sCorrect answer is '12'. Can you explain this answer?

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A step-up chopper shown in figure is to deliver 3A

In to the 10 Ω load. The battery voltage is 12 V, L = 20 μH, C = 100 μF and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ μs

Correct answer is '12'. Can you explain this answer?

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A step-up chopper shown in figure is to deliver 3AIn to the 10 Ω...

Calculation:
V_o = I_oR_L = 3 × 10 = 30 V
V_b = V_o (1 – D)

On time = T_ON = DT = 0.6 × 20 × 10^-6 = 12 μs

When the transistor is switched on, current ramps up in the inductor and energy is stored.

When the transistor is switched off, the inductor voltage reverses and acts together with the battery voltage to forward bias the diode, transferring energy to the capacitor.

When the transistor is switched on again, the load current is maintained by the capacitor, energy is stored in the inductor and the cycle can start again.

The value of the load voltage is increased by increasing the duty cycle or the on-time of the transistor.

During the transistor on-period, assuming an ideal inductor and transistor
V_b = V_L = Ldi/dt
V_b/s = (sL) i(s)
i(s) = V_b/s²L
i(t) = (V_b/L)t = kt

Over an on-time of T_ON, the change of battery current will be
Δi = k T_ON

During the off-period
V_o= V_b + V_L= V_b + L(di/dt) = V_b + L(Δi/Δt)
= V_b + L(V_b/L)T_ON /T_off = V_b(1 + T_ON /T_off)

Let the duty cycle
D = T_ON T, and T_off = T – T_ON = T(1 - D). Now
V_o = V_b (1 – DT/T(1 – D))

which simplifies to
V_o = V_b/(1 - D)

In an ideal circuit, V_bI_b= V₀I₀. Therefore, from eq.
I_b = (V_o/V_b)I_b = I_o/(1 – D)
I_b = I_b + Δi/2
I_bo = I_b – Δi/2

When the steady variation of battery current has been reached, the variation will be between l_o and I₁, as shown in.

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A step-up chopper shown in figure is to deliver 3AIn to the 10 Ω load. The battery voltage is 12 V, L = 20 μH, C = 100 μF and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ μsCorrect answer is '12'. Can you explain this answer?

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A step-up chopper shown in figure is to deliver 3AIn to the 10 Ω load. The battery voltage is 12 V, L = 20 μH, C = 100 μF and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ μsCorrect answer is '12'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A step-up chopper shown in figure is to deliver 3AIn to the 10 Ω load. The battery voltage is 12 V, L = 20 μH, C = 100 μF and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ μsCorrect answer is '12'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A step-up chopper shown in figure is to deliver 3AIn to the 10 Ω load. The battery voltage is 12 V, L = 20 μH, C = 100 μF and chopper frequency is 50 kHz. Determine the on-time of the chopper ________ μsCorrect answer is '12'. Can you explain this answer?.

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