参考案例教案week 6 lecture 2.pdf

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Contents ◼ Step Response of RC Circuits ◼ Step Response of RL Circuits ◼ General Solution Method for Natural and Step Response ◼ Sequential Switching Goals ◼ Understanding and ability to find the step response of first-order RC and RL circuits; ◼ Understanding and ability to yze RC and RL circuits by general solution method; ◼ Ability to find response for sequential switching circuits. Contents ◼ Step Response of RC Circuits ◼ Step Response of RL Circuits ◼ General Solution Method for Natural and Step Response ◼ Sequential Switching Step Response of RC Circuits 0- =V Is R C C vC ( 0 C ◼ The capacitor has an initial voltage V ; 0 ◼ The switch is closed at t = 0; ◼ Energy is being stored in the capacitor. Step Response of RC Circuits A ◼ By KCL at node A: dv v C C + C =I dt R s dvC 1 - = - dt 0 =V v -RI RC vC ( 0 C s v t =I R + V - -t RC , t ‡0 ( ( I R e C s 0 s Voltage across the capacitor: t =I R + V -I R e-t RC , t ‡0 v ( ( C s 0 s C t t=RC t =I R + V -I R e-t t,

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