Answered: 1) 2 sin10ʻr (1 I µF 10 mH t = 0 İL(0+)…

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1) 2 sin10ʻr (1 I µF 10 mH t = 0 İL(0+) = 0 Figure P4.70

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter30: Dc Motors

Section: Chapter Questions

Problem 6RQ: What is CEMF?

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Question

Consider the circuit shown in Figure P4.70. a. Write the differential equation for v(t). b. Find the damping coefficient, the natural frequency, and the form of the complementary solution. c. Usually, for a sinusoidal forcing function, we try a particular solution of the form v p ( t)=A cos( 10 4 t )+B sin( 10 4 t ). Why doesn’t that work in this case? d. Find the particular solution. [Hint: Try a particular solution of the form v p ( t)=At cos( 10 4 t )+B t sin( 10 4 t ). ] e. Find the complete solution for v(t).

1)
2 sin10ʻr (1
I µF
10 mH
t = 0
İL(0+) = 0
Figure P4.70

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