$($d$)$ Determine the diode and resistor voltages for the circuit in Figure Q$1($d$).$ Assume the diodes are silicon.

$(4$ marks$)$

$($e$)$ Determine the resistor voltage in Figure Q$1($e$)$ if $E_1=5V,E_2=9V$ and $R=1k.$

$(4$ marks$)$

$($f$)$ An a$.$c voltage of peak value $20$ V is connected in series with a silicon diode and load resistance of $500.$ If the dynamic resistance of diode is $10$ in the ideal condition, determine:

$($i$)$ Peak current through diode,

$($ii$)$ Peak output voltage

$(6$ marks$)$