$10\%,$ target di dt is $200As,$ target dv$/$dt is $40Vns,$ Irrm is $3A,$ and operation temperature is $25$ degree. a$)$ Please derive the

inductor current ripple equation and calculate the necessary inductor value. $(4$ marks$)$ b$)$ Please estimate the diode

conduction loss and its reverse recovery loss. If there are any assumptions, please list them. $(4$ marks$)$ c$)$ Please estimate the

MOSFET conduction loss and its switching loss. If there are any assumptions, please list them. $(4$ marks$)$ d$)$ Please calculate

the number of turns for the selected inductor, where $1c=20cm,Ac=6cm2(2cm****3(cm)),r=3500,$ and average inductor

current is going to apply in this calculation. $(4$marks$)$ e$)$ Please estimate the inductor conduction $10$s$5.(4$ marks$)$ f$)$ If the

loading power is doubled, are the selected devices still a good option? $(4$ marks$)$

Question $1)$ In the following a $50kHz$ system is given, $V_{DN}=200V,V_{\text{O}\text{U}\text{T}}=250V,P_{\text{O}\text{u}\text{T}}=1000W,$ target

$I_L$ is less than $10\%,$ target di dt is $200\frac{A}{}s,$ target dv$/$dt is $40\frac{V}{n}s,$ Irrm is $3A,$ and operation temperature

is $25$ degree.

a$)$ Please derive the inductor current ripple equation and calculate the necessary inductor value. $(4$ marks$)$

b$)$ Please estimate the diode conduction loss and its reverse recovery loss. If there are any assumptions,

please list them. $(4$ marks$)$

c$)$ Please estimate the MOSFET conduction loss and its switching loss. If there are any assumptions,

please list them. $(4$ marks$)$

d$)$ Please calculate the number of turns for the selected inductor, where $1c=20cm,Ac=6c{m}^2(2c{m}^{**}3(cm)),$

${}_r=3500,$ and average inductor current is going to apply in this calculation. $(4$marks$)$

e$)$ Please estimate the inductcr couuuuvi ivos. $(7$ mans$)$

f$)$ If the loading power is doubled, are the selected devices still a good option? $(4$ marks$)$