Differential Equations 2 An LRC circuit has inductor with in

Differential Equations

2. An LRC circuit has inductor with inductance 9 Henries, resistor with re- sistance 2 Ohms, and capacitor with capacitance 1 Farads. Is the circuit overdamped, or underdamped? What would a typical solution\'s graph look like?

Solution

given in RLC circuit, R=2 ohms , L=9H, C=1F

if RLC are connnected in series, then the damping rato = 0, so here it is under damped

if RLC are connnected in parallel, then the damping raio= infinity, so here it is over damped