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smak

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posted by smak on 7/3/2009 10:27:56 PM | status: Closed | Earned Karma: 25

need help w/circuit - thanks

Course	Textbook	Chapter	Problem	Needs by
Digital Circuits	N/A	N/A	N/A	N/A

Question Details:

Switch closed for a long time. opens at t=0s...

find V0(t)

sketch V0(t) for 5 time constants...

Tags: Digital Circuits, Electrical Engineering

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Answers:

Shree_vani...

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posted by Shree_vani(MNK) on 7/3/2009 11:48:22 PM | status: Live

Asker's Rating: Lifesaver

Response Details:

When the switch is closed for a long time, the inductor acts as short for the DC current

Applying KCL at the node

Current I_L will be

When the switch is opened

Applying KVL

Characteristic equation

Solution

At t=0, i(0) = - 0.1875A

Output voltage across the inductor will be

The time constant of the circuit is

τ = 1/5.33 = 0.1876

At five time constant , that is t = 5τ = 5(0.1876) = 0.938s

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