The maximum induced EMF in the antenna.
Answer to Problem 13P
Solution:
The maximum induced EMF in the antenna is east or west.
Explanation of Solution
The horizontal component of the Earth’s magnetic field is effective in exerting a vertical force on the charged particle in the antenna.
The magnetic force on the positive charge in the antenna is to be directed upwards and gave a maximum magnitude.
The car should move towards the East through the northward horizontal component of the magnetic field.
Given:
The angle of dip, that is, the downward angle .
The velocity of the 30.0 m/s
The length of antenna 55 cm.
The horizontal component of Earth’s magnetic field .
Formula Used:
The expression for the magnetic force is as follows:
Here, is the angle between the velocity vector and the magnetic field vector, q is the charge, v is the velocity vector, and B is the magnetic field.
The maximum induced EMF in the antenna is as follows:
Here, is the induced EMF, l is the length, and B is the horizontal component of magnetic field.
Calculation:
Now, substitute for B, 55 cm for l, and 30.0 m/s for v in the equation .
Substitute for and for B in the equation .
Chapter 21 Solutions
Physics: Principles with Applications
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