(1)The current in a 20.0-mH inductor changes with time as i = 3.0t° – 6.0t , where i is in amperes and t is in seconds. Find the magnitude of the induced emf at (a) t =2.00 s , (b) At what time is the emf zero? (2) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I=a+bt, where a and b are constants. Determine the emf that is induced in the loop if b =12.0 A/s, h=2.00 cm, w= 6.0 cm, and L =0.50 m. (c) What is the direction of the induced current in the rectangle? L

(1)The current in a 20.0-mH inductor changes with time as i = 3.0t° – 6.0t , where i is in amperes and t is in seconds. Find the magnitude of the induced emf at (a) t =2.00 s , (b) At what time is the emf zero? (2) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I=a+bt, where a and b are constants. Determine the emf that is induced in the loop if b =12.0 A/s, h=2.00 cm, w= 6.0 cm, and L =0.50 m. (c) What is the direction of the induced current in the rectangle? L

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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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

(1)The current in a 20.0-mH inductor changes with time as
i = 3.0t° – 6.0t , where i is in amperes and t is in seconds. Find the magnitude of the
induced emf at (a) t =2.00 s , (b) At what time is the emf zero?
(2) A loop of wire in the shape of a rectangle of width w and length L and a long,
straight wire carrying a current I lie on a tabletop as shown in Figure.
(a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the
current is changing with time according to I=a+bt, where a and b are constants.
Determine the emf that is induced in the loop if b=12.0 A/s, h=2.00 cm, w= 6.0 cm,
and L =0.50 m. (c) What is the direction of the induced current in the rectangle?
L

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