In Section 10 2 4 we showed that the equation governing the current flowing in a series LRC electrical circuit is (equation (10 9)) Show, by a similar method, that the equation governing the current flowing in a series LR circuit containing a voltage source E is At time t 0 a switch is closed apply...

The circuit described in this question is shown in the diagr ...

In Section 10.2.4 we showed that the equation governing the current flowing in a series LRC electrical

Question:

In Section 10.2.4 we showed that the equation governing the current flowing in a series LRC electrical circuit is (equation (10.9))

di di + R + d12 dt 1 C = 0

Show, by a similar method, that the equation governing the current flowing in a series LR circuit containing a voltage source E is

di L + Ri= E dt

At time t = 0 a switch is closed applying a d.c. potential of V to an initially quiescent series LR circuit consisting of an inductor L and a resistor R. Show that the current flowing in the circuit is

V i(t) = (1 - e-RI/L) R

and hence find the time needed for the current to reach 95% of its final value.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 19, 2024 02:02 AM

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In Section 10.2.4 we showed that the equation governing the current flowing in a series LRC electrical

Question:

di di + R + d12 dt 1 C = 0

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The circuit described in this question is shown in the diagr...View the full answer

Modern Engineering Mathematics

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