Chapter 12, Problem 30P

(a)

To determine

Obtain the integrodifferential equation which governs the behaviour of the voltage $v_o$ for $t\ge 0^{+}$.

(b)

To determine

Verify that the expression $V_o\left(s\right)=\frac{\frac{V_{dc}}{RC}}{\left[s^2+\left(\frac{1}{RC}\right)s+\left(\frac{1}{LC}\right)\right]}$.

(c)

To determine

Verify that the expression $I_o\left(s\right)=\frac{\frac{V_{dc}}{RLC}}{s\left[s^2+\left(\frac{1}{RC}\right)s+\left(\frac{1}{LC}\right)\right]}$.