A 24-V battery is connected in series with a resistor and an inductor, with R = 5.2 2 and L = 5.0 H, respectively.(a) Find the energy stored in the inductor when the current reaches its maximum value.115.38XApply the expression for the energy stored in an inductor in terms of its inductance and the current through it. J(b) Find the energy stored in the inductor one time constant after the switch is closed.182.34XFind what fraction of current has been attained in one time constant after the circuit is closed and use it to find the energy stored in the inductor at that point. JNeed Help?Mentor Question24 VInductora-GivenR= 5.22L=5.06.2V=24a)245.2from HWbatter is4.615384 A1 x 62 x 4.6.15847²5-02:£ x 6.02=4.615384 (1-e-¹)= 2.91748• 1 * x 9.6.15384 = 457.827845-0458.00Ch 20Connected in24 attemptSeries with- 1/2 X 5.0 x 4.615 38411.53846I115.38 A115.38 (1-e¹)72.93-4.615791(16²¹)11.53846 (1-e-')7.29371x50x7.2937/18.2398723182.342

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Answered: (a) Find the energy stored in the…

(a) Find the energy stored in the inductor when the current reaches its ma 115.38 x Apply the expression for the energy stored in an inductor in terms of its in

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 11PQ

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Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

A 24-V battery is connected in series with a resistor and an inductor, with R = 5.2 2 and L = 5.0 H, respectively.
(a) Find the energy stored in the inductor when the current reaches its maximum value.
115.38
X
Apply the expression for the energy stored in an inductor in terms of its inductance and the current through it. J
(b) Find the energy stored in the inductor one time constant after the switch is closed.
182.34
X
Find what fraction of current has been attained in one time constant after the circuit is closed and use it to find the energy stored in the inductor at that point. J
Need Help?
Mentor

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