A 200 resistor, a 10 mH inductor and a 4.7 µF capacitor are connected in a series circuit.
a. Is the circuit overdamped, underdamped, or critically damped?
b. Write the characteristic equation and find the poles of this circuit.
c. Give the form of the natural response for any circuit variable in this circuit. Supply as many numerical constants as you can; leave the rest as symbols.