Theory and ExamplesCurrent in an open RL circuit If the
Chapter 9, Problem 26E(choose chapter or problem)
Problem 26E
Theory and Examples
Current in an open RL circuit 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 (see accompanying figure) obeys the
equation which is Equation (5) with
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 1/e. (The significance of this time is explained in the next exercise.)
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