$2.(5)$ Defibrillation has a similar strength$-$duration property as a pacemaker, but the current is much higher and the current strength corresponds to the average current over the duration used.$$ This is given by:

Iave $=5(1+2\mathrm{.}5/$D$)$ in amps$$ where D$$ is duration in milliseconds.$$

The defibrillation current is disconnected for t $>$ D$.$

If defibrillation current is supplied by changing a capacitor to V$(0)$ volts and discharging this capacitance into a patient resistance of $60$ ohms and capacitor C$=47$ microfarads,$$ Iave$=)/$D

Where V$($t$)=$V$(0)*$exp$(-$t$/($R$*$C$).$ For D$=2$ msec$$

$$

a$)(2)$ Derive the formula relating Iave to V$(0),$ D$,$ R $,$ and C

b$)(1)$Calculate Iave

c$)(2)$Calculate V$(0)$