Problem 2: A wire, bent into a rectangle with sides a = 0.055 m and b = 0.045 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(cot), where A = 0.75 T, o = 5 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. В b

Physics for Scientists and Engineers: Foundations and Connections
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Chapter30: Magnetic Fields And Forces
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Problem 2: A wire, bent into a rectangle with sides a = 0.055 m and b = 0.045 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 = 5 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, Ø, in terms of a, b, A, o, and t.
cos(a)
cos(ot)
cos(o)
7
8
9
НОМЕ
cos(e)
sin(a)
sin(@)
4
sin(@t)
sin(o)
sin(e)
*
1
2
3
a
A
b
+
END
do
VOl BACKSPACE
DEL CLEAR
t
Feedback
I give up!
Submit
Hint
Part (b) Express the the emf, E, induced in the loop in terms of the derivative of Ð.
Part (c) Find the emf, &, induced in the loop in terms of a, b, A, o, and t.
Part (d) Calculate the magnitude of the emf at t = 7.3 s in V.
Transcribed Image Text:Problem 2: A wire, bent into a rectangle with sides a = 0.055 m and b = 0.045 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 = 5 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, Ø, in terms of a, b, A, o, and t. cos(a) cos(ot) cos(o) 7 8 9 НОМЕ cos(e) sin(a) sin(@) 4 sin(@t) sin(o) sin(e) * 1 2 3 a A b + END do VOl BACKSPACE DEL CLEAR t Feedback I give up! Submit Hint Part (b) Express the the emf, E, induced in the loop in terms of the derivative of Ð. Part (c) Find the emf, &, induced in the loop in terms of a, b, A, o, and t. Part (d) Calculate the magnitude of the emf at t = 7.3 s in V.
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