In the circuit given below switch $1$ has been closed and switch $2$ have beed open since my ${16}^{th}$

birthday. During this exam $($specifically right now$),$ let's say at $13.,$ switch $1$ is opened. Then at $50ms$

switch $2$ is closed

Determine $Vc(t)$ valid for $0t50ms$

$($a$)Vc(t)=200e^{-10t}V$

b$)Vc(t)=200e^{-6\mathrm{.}25t}V$

c$)Vc(t)=400e^{-6\mathrm{.}25t}V$

d$)Vc(t)=400e^{-10t}V$

e$)$ None of the above

For the circuit of Prblem $13,$ determine the $Vc(t)$ for $t50ms$

a$)Vc(t)=V_C(0\mathrm{.}005)e^{-15t}V$

b$)Vc(t)=400[1-e^{15t}]V$

c$)Vc(t)=121V$

$($d$)Vc(t)=V_C(0\mathrm{.}05)e^{-10t+0\mathrm{.}5}+400[1-e^{-10t+0\mathrm{.}5}]V$

e$)$ None of the above