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## Lecture 34

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**Lecture 34**Energy in a Capacitor and Inductor: In Capacitors: For Inductors:**Mechanical Analogy: Mass Spring System**Corresponds to: LC circuits oscillate much in the same way a mass spring system oscillates**LC Circuit**Basic Equations: Loop Equation: Power Equation: Conservation of Energy:**Solving the Loop Equation – Analogy to Mass-Spring System**Solution: Comment: General Solution: (δ is the initial phase angle of the oscillation) Often set δ= 0, where at t = 0, the initial condition is chosen to be x = xmax**Check:**where**RLC Circuit – Loop Equation**Graph of Q and I of Dampened Oscillation: Each term can be positive or negative. PL + PC stays negative Always positive