Question I $(5$ Marks$)$

The buck regulator in Figure has an input voltage of Vs$.$ The required average output voltage is Va$\_\_$ at $R=345$ and the peak$-$to$-$peak output ripple voltage is $38$ mV $.$ The switching frequency $.$ If the peak$-$to$-$peak ripple current of inductor is limited to $0\mathrm{.}65$ A $,$ determine $($a$)$ the duty cycle k $,($b$)$ the filter inductance L $,($c$)$ the filter capacitor C $,$ and $($d$)$ the critical values of L and C $.$

The values of Vs$,$ Va and frequency depend on your University registration no$..$

Vs equal the sum of your registration No$.$

If the last number of registration No $.$ is odd : $Va=V\frac{s}{1\mathrm{.}5}$ and frequency $22\mathrm{.}5$ Khz

If the last number of registration No$.$ is Even : $Va=V\frac{s}{1\mathrm{.}3}$ and frequency $26\mathrm{.}5$ Khz

Example

Registration No$.$ : $201810645$ : Vs $=2+0+1+8+1+0+6+4+5=27V$

The last number of registration No$.$ is odd $(5)$ : $Va=\frac{27}{1\mathrm{.}5}=18V$ and switching frequency : $22\mathrm{.}5$ Khz

Solution

Registration No$.$ :

The last number of registration No$.$ is

: Vs $==V$

$q,$ :$Va=,=V$ and switching frequency :

a$)$