If the switch is thrown open after the current in an RL circuit has built up to

Question:

If the switch is thrown open after the current in an RL circuit has built up to its steady-state value I = V/R, the decaying current obeys the equation

which is Equation (5) with V = 0.

a. Solve the equation to express i as a function of t.

b. How long after the switch is thrown will it take the current to fall to half its original value?

c. Show that the value of the current when t = L/R is I/e.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 02, 2023 02:50 AM

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If the switch is thrown open after the current in an RL circuit has built up to

Question:

L + Ri = 0, dt

Step by Step Answer:

a The differential equation is L didt R i 0 Divide both sides by L didt RL i 0 This ...View the full answer

Thomas Calculus Early Transcendentals

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