(Solved): For the RLC circuit shown, the switch is initially in the open position and closes at time \( t=0 ...

For the RLC circuit shown, the switch is initially in the open position and closes at time \( t=0 \). The component values are \( R=15 k \Omega, L=500 \mathrm{mH}, C=10 \mathrm{nF} \), and the source current is \( I_{s}=6 \mathrm{~mA} \). Assuming there is no initial energy in either the capacitor or the inductor (at time \( t=-\infty \) ), find the value of the capacitor voltage \( V_{C}(t) \) at time \( t=46 \mu s \). Enter your answer in units of Volts.