The initial energy stored in the 31.25NF capacitor in the circuit in Figure 2 is 912 J. The initial energy stored in the inductor is zero. The roots of the characteristic equation that describes the natural behavior of the current i are -1000s-'and - 4,000s

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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The initial energy stored in the 31.25nF capacitor in the circuit in Figure 2 is 912 uJ.
The initial energy stored in the inductor is zero. The roots of the characteristic
equation that describes the natural behavior of the current i are -1000s'and -
4,000s
a. Derive the numerical values of R and L. Determine the numerical values
of i(0) and atto) immediately after the switch has been closed.
di(0)
dt
b. Find i(t) for t20. How many microseconds after the switch closes does the
current reach its maximum value?
c. Find vL(t) for 20.
Transcribed Image Text:The initial energy stored in the 31.25nF capacitor in the circuit in Figure 2 is 912 uJ. The initial energy stored in the inductor is zero. The roots of the characteristic equation that describes the natural behavior of the current i are -1000s'and - 4,000s a. Derive the numerical values of R and L. Determine the numerical values of i(0) and atto) immediately after the switch has been closed. di(0) dt b. Find i(t) for t20. How many microseconds after the switch closes does the current reach its maximum value? c. Find vL(t) for 20.
R
t= 0
i(t)
31.25 nF
Figure 2
Transcribed Image Text:R t= 0 i(t) 31.25 nF Figure 2
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