A series circuit consists of a resistor with R= 20, an inductor with L = 1 H, a capacitor with C = 0.01 F, and a 18-volt battery. If the initial charge and current are initially both 0, find the charge and current at time t. charge Q(t) = current I(t) = 18te 10t X

A series circuit consists of a resistor with R= 20, an inductor with L = 1 H, a capacitor with C = 0.01 F, and a 18-volt battery. If the initial charge and current are initially both 0, find the charge and current at time t. charge Q(t) = current I(t) = 18te 10t X

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 21CQ: Do Kirchhoff’s rules apply to circuits that contain inductors and Capacitors?

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Question

A series circuit consists of a resistor with R = 20 02, an inductor with L = 1 H, a capacitor with C = 0.01 F, and a 18-volt battery. If the initial charge and current are initially both 0, find
the charge and current at time t.
charge
current
Q(t) =
I(t)= 18te 10t
X

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Step 1: Determine the given variables.

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Step 2: Determine the differential equation.

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Step 3: Determine the charge as a function of time

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Step 4: Determine the current as a function of time

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