Problem 1 a) Consider a 4mF capacitor with voltage v(t) = Ae-100t + Be-600ty for t 2 0 where A and B are constants. Assume initial voltage v(0) = 50V and initial current i(0) = 20A. Determine A, B and i(t). b) The current through a 0.5F capacitor is i(t) = 6(1 – e-t)A. Determine the voltage and power at t = 2s. Assume v(0) = 0.
Problem 1 a) Consider a 4mF capacitor with voltage v(t) = Ae-100t + Be-600ty for t 2 0 where A and B are constants. Assume initial voltage v(0) = 50V and initial current i(0) = 20A. Determine A, B and i(t). b) The current through a 0.5F capacitor is i(t) = 6(1 – e-t)A. Determine the voltage and power at t = 2s. Assume v(0) = 0.
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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![## Problem 1
a) Consider a 4mF capacitor with voltage
\[ v(t) = Ae^{-100t} + Be^{-600t}V \quad \text{for } t \geq 0 \]
where \( A \) and \( B \) are constants. Assume initial voltage \( v(0) = 50V \) and initial current \( i(0) = 20A \). Determine \( A \), \( B \), and \( i(t) \).
b) The current through a 0.5F capacitor is \( i(t) = 6(1 - e^{-t})A \). Determine the voltage and power at \( t = 2s \). Assume \( v(0) = 0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1381326-4ada-41c8-9a14-70aa640a442b%2F70676e43-1605-4400-9a05-6c2492bd8674%2Ffibdlc9_processed.png&w=3840&q=75)
Transcribed Image Text:## Problem 1
a) Consider a 4mF capacitor with voltage
\[ v(t) = Ae^{-100t} + Be^{-600t}V \quad \text{for } t \geq 0 \]
where \( A \) and \( B \) are constants. Assume initial voltage \( v(0) = 50V \) and initial current \( i(0) = 20A \). Determine \( A \), \( B \), and \( i(t) \).
b) The current through a 0.5F capacitor is \( i(t) = 6(1 - e^{-t})A \). Determine the voltage and power at \( t = 2s \). Assume \( v(0) = 0 \).
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