A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(2πt)., where lo = 3.5 A. (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. Є(t) = (Remember, just type "L" for inductance.) (b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value. UB =

A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(2πt)., where lo = 3.5 A. (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. Є(t) = (Remember, just type "L" for inductance.) (b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value. UB =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to (t) = losin(2πt)., where lo = 3.5 A.
(a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of
its inductance, L, the maximum current, lo, and t, as needed, along with any constants.
4
Ɛ(t) =
(Remember, just type "L" for inductance.)
(b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value.
Ug =

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Step 1: Given data

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Step 2: Expression for induced emf by using formula and differentiation

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Step 3: Average energy stored in the coil equal to external work and apply formula for external work

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Step 4: Integrating external work equation and find avg energy store expression in tern of I0 and L

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Step 5: Calculated numeric value for average energy

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