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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

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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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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