LCR circuit R V0 L I(t)=0 for t<0 V(t) C + trial solution 2 R + V0 1 L I(t)=0 for t<0 V(t) C trial solution characteristic equation general solution

LCR circuit – initial conditions + R L V0 C I(t) Initial conditions I(0), ? No energy stored

LCR circuit overdamped solution

LCR circuit critically damped solution

LCR circuit t underdamped (oscillatory) solution

LCR circuit overdamped solution β is real critically damped solution underdamped (oscillatory) solution

LCR circuit overdamped solution critically damped solution underdamped (oscillatory) solution

CP2 September 2003

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LCR circuit overdamped solution critically damped solution underdamped (oscillatory) solution