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mW; 6.3 (c) 126.13 μJ. The current in the capacitor of Assessment Problem 6.2 is 0 for t < 0 and 3 cos 50,000t A for t≥ 0. Find (a) v(t); (b) the maximum power no homo delivered to the capacitor at any one instant of od to u time; and (c) the maximum energy stored in the

mW; 6.3 (c) 126.13 μJ. The current in the capacitor of Assessment Problem 6.2 is 0 for t < 0 and 3 cos 50,000t A for t≥ 0. Find (a) v(t); (b) the maximum power no homo delivered to the capacitor at any one instant of od to u time; and (c) the maximum energy stored in the

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I just need 6.3 part (b). Thanks.
**ASSESSMENT PROBLEMS** **Objective 2—Know and be able to use the equations for voltage, current, power, and energy in a capacitor** **6.2** The voltage at the terminals of the 0.6 μF capacitor shown in the figure is 0 for \( t < 0 \) and \( 40e^{-15,000t} \sin 30,000t \) V for \( t \geq 0 \). Find (a) \( i(0) \); (b) the power delivered to the capacitor at \( t = \pi/80 \) ms; and (c) the energy stored in the capacitor at \( t = \pi/80 \) ms. - **Figure:** Shows a 0.6 μF capacitor with terminals marked \( + \) and \( - \), and voltage \( v \) and current \( i \) directions indicated. **Answer:** (a) 0.72 A; (b) \(-649.2\) mW; (c) 126.13 μJ. **6.3** The current in the capacitor of Assessment Problem 6.2 is 0 for \( t < 0 \) and \( 3 \cos 50,000t \) A for \( t \geq 0 \). Find (a) \( v(t) \); (b) the maximum power delivered to the capacitor at any one instant of time; and (c) the maximum energy stored in the capacitor at any one instant of time. **Answer:** (a) \( 100 \sin 50,000t \) V, \( t \geq 0 \); (b) 150 W; (c) 3 mJ. **SELF-CHECK:** Also try Chapter Problems 6.17 and 6.21.
Transcribed Image Text:**ASSESSMENT PROBLEMS** **Objective 2—Know and be able to use the equations for voltage, current, power, and energy in a capacitor** **6.2** The voltage at the terminals of the 0.6 μF capacitor shown in the figure is 0 for \( t < 0 \) and \( 40e^{-15,000t} \sin 30,000t \) V for \( t \geq 0 \). Find (a) \( i(0) \); (b) the power delivered to the capacitor at \( t = \pi/80 \) ms; and (c) the energy stored in the capacitor at \( t = \pi/80 \) ms. - **Figure:** Shows a 0.6 μF capacitor with terminals marked \( + \) and \( - \), and voltage \( v \) and current \( i \) directions indicated. **Answer:** (a) 0.72 A; (b) \(-649.2\) mW; (c) 126.13 μJ. **6.3** The current in the capacitor of Assessment Problem 6.2 is 0 for \( t < 0 \) and \( 3 \cos 50,000t \) A for \( t \geq 0 \). Find (a) \( v(t) \); (b) the maximum power delivered to the capacitor at any one instant of time; and (c) the maximum energy stored in the capacitor at any one instant of time. **Answer:** (a) \( 100 \sin 50,000t \) V, \( t \geq 0 \); (b) 150 W; (c) 3 mJ. **SELF-CHECK:** Also try Chapter Problems 6.17 and 6.21.
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