Chapter 4, Problem 4.11P

We know that the capacitor shown in Figure P4.11 is charged to a voltage of 10 V prior to t = 0.

1. Find expressions for the voltage across the capacitor $v_C\left(t\right)$ and the voltage across the resistor $v_R\left(t\right)$ for all time.

Find an expression for the power delivered to the resistor.

Integrate the power from $t=0$ to $t=\infty$to find the energy delivered.

Show that the energy delivered to the resistor is equal to the energy stored in the capacitor prior to t = 0.

Figure P4.11