It is desired to interface a 500 V dc source to a 400V, 10 A load using the buck converter shown below. The MOSFET has an on- resistance of 10 while inductor has 20 resistance. The diode has forward voltage of 0.7V. Determine the (a) Duty ratio, and (b) Efficiency. 10 A 500 V 푸 400 V 2. Given the converter below, MOSFET has on-resistance Ron, and the diode has a constant forward voltage Vp. Neglect all other losses. (a) Derive the formula for the converter's output voltage, V. (b) Determine the output voltage if Vg = 20V, D = 0.4, R = 500, Row = 1.50, and V₁ = 0.7V. 4 000 G D₁ C₂ R≤ V

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Please show how to solve the following problems. Note that in the first item, there was also a letter c question asking what is the duty ratio and efficiency if the buck converter becomes a boost converter. 

It is desired to interface a 500 V dc source to a 400V, 10 A load
using the buck converter shown below. The MOSFET has an on-
resistance of 10 while inductor has 20 resistance. The diode has
forward voltage of 0.7V. Determine the (a) Duty ratio, and (b)
Efficiency.
10 A
500 V
푸
400 V
2. Given the converter below, MOSFET has on-resistance Ron, and
the diode has a constant forward voltage Vp. Neglect all other
losses. (a) Derive the formula for the converter's output voltage,
V. (b) Determine the output voltage if Vg = 20V, D = 0.4, R = 500,
Row = 1.50, and V₁ = 0.7V.
4
000
G
D₁
C₂
R≤ V
Transcribed Image Text:It is desired to interface a 500 V dc source to a 400V, 10 A load using the buck converter shown below. The MOSFET has an on- resistance of 10 while inductor has 20 resistance. The diode has forward voltage of 0.7V. Determine the (a) Duty ratio, and (b) Efficiency. 10 A 500 V 푸 400 V 2. Given the converter below, MOSFET has on-resistance Ron, and the diode has a constant forward voltage Vp. Neglect all other losses. (a) Derive the formula for the converter's output voltage, V. (b) Determine the output voltage if Vg = 20V, D = 0.4, R = 500, Row = 1.50, and V₁ = 0.7V. 4 000 G D₁ C₂ R≤ V
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