The resistance, inductance and capacitance of a parallel RLC circuit are 5 kO, 1.25 H and 8 nF, respectively.
a- Calculate the roots of the characteristic equation that describe the the voltage response of the circuit.
b- Will the response be overdamped, underdamped, or critically damped?
c- What is the value of R that will yield a a damped frequency of 6 k rad/sec?
d- What are the roots of the characteristic equation for the value of R found in part (c)?
e- What value of R will result in a critically damped response?