A series circuit consisting of an inductor, a resistor, and a capacitoris open. There is an initial charge of 2 coulombs on the capacitor,and 3 amperes of current is present in the circuit at the instantthe circuit is closed. A voltage given by E(t) = 20 cos t is applied.In this circuit the voltage drops are numerically equal to thefollowing: across the resistor to 4 times the instantaneous changein the charge, across the capacitor to 10 times the charge, andacross the inductor to 2 times the instantaneous change in the current.Find the charge on the capacitor as a function of time. Determinethe charge on the capacitor and the current at time t = 10.
A series circuit consisting of an inductor, a resistor, and a capacitoris open. There is an initial charge of 2 coulombs on the capacitor,and 3 amperes of current is present in the circuit at the instantthe circuit is closed. A voltage given by E(t) = 20 cos t is applied.In this circuit the voltage drops are numerically equal to thefollowing: across the resistor to 4 times the instantaneous changein the charge, across the capacitor to 10 times the charge, andacross the inductor to 2 times the instantaneous change in the current.Find the charge on the capacitor as a function of time. Determinethe charge on the capacitor and the current at time t = 10.
Delmar's Standard Textbook Of Electricity
7th Edition
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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Question
A series circuit consisting of an inductor, a resistor, and a capacitor
is open. There is an initial charge of 2 coulombs on the capacitor,
and 3 amperes of current is present in the circuit at the instant
the circuit is closed. A voltage given by E(t) = 20 cos t is applied.
In this circuit the voltage drops are numerically equal to the
following: across the resistor to 4 times the instantaneous change
in the charge, across the capacitor to 10 times the charge, and
across the inductor to 2 times the instantaneous change in the current.
Find the charge on the capacitor as a function of time. Determine
the charge on the capacitor and the current at time t = 10.
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