In Figure P8.1, replace the resistor with a capacitor of C farads and voltage vc(t) The...

In Figure P8.1, replace the resistor with a capacitor of C farads and voltage v_c(t) The input voltage is v_i(t).

(a) Write the state equations for the circuit, with the state variables equal to the current i(t), the capacitor voltage v_c(t), and the output equal to v_c(t).

(b) Write the state equations of the circuit, with the state variables equal to i(t) and v_c(t), and the output equal to i(t).