Lect_24_note

Lect_24_note - Chapter 32-2 Inductance Self-Inductance I/R...

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Chapter 32-2 Inductance

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Self-Inductance I t ε /R ( ε+ε L ) /R ( ) /R
Inductance ± A circuit element that has a large self- inductance is called an inductor

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RL Circuit ± An RL circuit contains an inductor and a resistor ± When the switch is closed (at time t = 0), the current begins to increase ± At the same time, a back emf is induced in the inductor that opposes the original increasing current
RL Circuit ± Applying Kirchhoff’s loop rule to the previous circuit gives ± Looking at the current, we find 0 I I d ε RL dt −− = () 1 I Rt L ε e R =−

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RL Circuit, Current-Time () 1 I Rt L ε e R =− ± The equilibrium value of the current is ε / R and is reached as t approaches infinity ± The current initially increases very rapidly ± The current then gradually approaches the equilibrium value
RL Circuit – 2 ± How does current fall off as a function of time ? 0 I I d ε RL dt −− = + Rt L e ( I ε R =

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RL Circuit – 2 ± The time rate of change of the current is a maximum at t = 0 ± It falls off exponentially as t approaches infinity Rt L e ( I ε R =
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Lect_24_note - Chapter 32-2 Inductance Self-Inductance I/R...

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