Find the charge on the capacitor in an LRC-series circuit when L = n L = 1½ h, R = 10 N, C = 0.01 f, E(t) = 50 V, q(0) = 1 C, and i(0) = 0 A. 2 q(t) = с What is the charge on the capacitor after a long time? с

Find the charge on the capacitor in an LRC-series circuit when L = n L = 1½ h, R = 10 N, C = 0.01 f, E(t) = 50 V, q(0) = 1 C, and i(0) = 0 A. 2 q(t) = с What is the charge on the capacitor after a long time? с

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 74P

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Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

Find the charge on the capacitor in an LRC-series circuit when L =
n L = 1½ h, R = 10 N, C = 0.01 f, E(t) = 50 V, q(0) = 1 C, and i(0) = 0 A.
2
q(t) =
с
What is the charge on the capacitor after a long time?
с

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Step 1: Differential equation of LRC circuit

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Step 2: Auxiliary solution

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Step 3: Perticular Integral

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Step 4: Charge after time t

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Step 5: Charge after long time

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