An RCL circuit connected in series has R= 180 ohms, C= 1/280 farad, L= 20 henries, and an applied voltage E(t)= 10 sin(t). Assuming no initial charge on the capacitor, but an initial current of 2 amperes at t=0 when the voltage is first applied, find the subsequent charge on the capacitor.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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An RCL circuit connected in series has R= 180 ohms, C= 1/280 farad, L= 20 henries, and
an applied voltage E(t)= 10 sin(t). Assuming no initial charge on the capacitor, but an initial
current of 2 amperes at t=0 when the voltage is first applied, find the subsequent charge
on the capacitor.
Transcribed Image Text:An RCL circuit connected in series has R= 180 ohms, C= 1/280 farad, L= 20 henries, and an applied voltage E(t)= 10 sin(t). Assuming no initial charge on the capacitor, but an initial current of 2 amperes at t=0 when the voltage is first applied, find the subsequent charge on the capacitor.
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