Consider the second-order parallel RLC circuit shown in figure #02. If the circuit parameters are R=4/2 , C=2/10F, and L=10/2 H, the initial conditions on

Consider the second-order parallel RLC circuit shown in figure #02.
If the circuit parameters are R=4/2 Ω, C=2/10F, and L=10/2 H, the initial conditions on the storage elements are iL(0)=-1 Ampere and VC(0)=4 Volts

Determine the nodal equation and the second-order differential equation.

Determine the characteristic equation and Calculate the roots of it.

 

v(t) Vc(0) L R iL(O) Figure # 02