Problem 1: A wire, bent into a rectangle with sides a = 0.075 m and b = 0.055 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(ot), where A = 0.75 T, o = 9 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. В b Part (a) Express the magnetic flux going through the wire, , in terms of a, b, A, o, and t. Part (b) Express the the emf, &, induced in the loop in terms of the derivative of Ø. Part (c) Find the emf, &, induced in the loop in terms of a, b, A, o, and t.

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 72AP: A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is...
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Problem 1: A wire, bent into a rectangle with sides a = 0.075 m and b = 0.055 m, is in a
magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular
component is a function of time as B(t) = Asin(ot), where A = 0.75 T, o = 9 rad/s. In this problem,
take the normal vector to the surface of the loop to be parallel to the magnetic field.
В
a
b
Part (a) Express the magnetic flux going through the wire, , in terms of a, b, A, o, and t.
Part (b) Express the the emf, E, induced in the loop in terms of the derivative of Ø.
Part (c) Find the emf, E, induced in the loop in terms of a, b, A, o, and t.
Transcribed Image Text:Problem 1: A wire, bent into a rectangle with sides a = 0.075 m and b = 0.055 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(ot), where A = 0.75 T, o = 9 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. В a b Part (a) Express the magnetic flux going through the wire, , in terms of a, b, A, o, and t. Part (b) Express the the emf, E, induced in the loop in terms of the derivative of Ø. Part (c) Find the emf, E, induced in the loop in terms of a, b, A, o, and t.
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