A straight wire of length 25 cm sweeps across a 0.84 T magnetic field with a speed of 1.00 m/s. What is the maximum value of the electromotive force that can be induced in the wire? Given: L=25 cm=0.25 m B=0.84 T v=1.00 m/s Solution: The induced electromotive force is maximum if sin0 is equal to 1, that is, the angle 0 is 90°. Thus, the wire must move perpendicular to the magnetic field. Using Eq. (6.6), E = vBLsin90° = (1.00 m/s)(0.84 T)(0.25 m)(1) = 0.21 V. Practice Exercise 6.3 Suppose the wire in Sample Problem 6.3 is moving 60° with respect to the magnetic field. What is the magnitude of the induced electromotive force?

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suppose the wire in sample 6.3 is moving 60 degrees with respect to the magnetic field. what is the magnitude of the induced electromotive force?

 

Sample Problem 6.3
A straight wire of length 25 cm sweeps across a 0.84 T magnetic field with a speed of 1.00 m/s.
What is the maximum value of the electromotive force that can be induced in the wire?
Given: L=25 cm=0.25 m
B=0.84 T
v=1.00 m/s
Solution:
The induced electromotive force is maximum if sin0 is equal to 1, that is, the angle 0 is 90°.
Thus, the wire must move perpendicular to the magnetic field. Using Eq. (6.6),
E = vBLsin90° =(1.00 m/s)(0.84 T)(0.25 m)(1)
%3D
= 0.21 V.
Practice Exercise 6.3
Suppose the wire in Sample Problem 6.3 is moving 60° with respect to the magnetic field. What is
the magnitude of the induced electromotive force?
Transcribed Image Text:Sample Problem 6.3 A straight wire of length 25 cm sweeps across a 0.84 T magnetic field with a speed of 1.00 m/s. What is the maximum value of the electromotive force that can be induced in the wire? Given: L=25 cm=0.25 m B=0.84 T v=1.00 m/s Solution: The induced electromotive force is maximum if sin0 is equal to 1, that is, the angle 0 is 90°. Thus, the wire must move perpendicular to the magnetic field. Using Eq. (6.6), E = vBLsin90° =(1.00 m/s)(0.84 T)(0.25 m)(1) %3D = 0.21 V. Practice Exercise 6.3 Suppose the wire in Sample Problem 6.3 is moving 60° with respect to the magnetic field. What is the magnitude of the induced electromotive force?
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