chp36_3 - PHY2061 R. D. Field RL Circuits...

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PHY2061 R. D. Field Department of Physics chp36_3.doc University of Florida RL Circuits "Building-Up" Phase: Connecting the switch to position A corresponds to the "building up" phase of an RL circuit . Summing all the potential changes in going around the loop gives ε −− = IR L dI dt 0 , where I(t) is a function of time. If the switch is closed ( position A ) at t=0 and I(0)=0 ( assuming the current is zero at t=0 ) then I R =− 1 τ , where I have define τ =L/R . Dividing by (I- ε /R) and multiplying by dt and integrating gives () I t ∫∫ ετ / 0 0 1 , which implies ln / / R t =− . Solving for I(t) gives It R e t / 1 . The potential change across the inductor is given by V L (t)=-LdI/dt
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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