For an SCR$,$ gate cathode characteristics is given by Vg$=1+10$Ig$.$ Gate source voltage is a rectangular pulse of $15$V with $20$sec duration. For an average gate power dissipation of $0\mathrm{.}3$W and a peak gate drive power of $5$W$,$ Compute $($a$)$ Resistance to be connected in series with the SCR gate,$($b$)$ Triggering frequency,$($c$)$ Duty cycle of triggering pulse$\mathrm{.}4)$ Latching current for an SCR$,$ inserted