Induced emf between theh ends of an antenna

AI Thread Summary
The discussion revolves around calculating the induced electromotive force (emf) in a vertical radio antenna as a car moves through the Earth's magnetic field. The relevant formula used is E = Bvl, where B is the magnetic field strength, v is the velocity, and l is the length of the antenna. The user initially calculates the induced emf to be 1.19 mV but is uncertain about the angle to use for the magnetic field component. The key point is that the correct angle for B must be determined to find the perpendicular component relative to the antenna's orientation. Understanding this angle is crucial for accurately calculating the induced emf.
mike1234
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Homework Statement


A car with a vertical radio antenna 85cm long drives due east 25 m/s. The Earth's magnetic field at this location has a magnitude of 5.9 * 10-5 T and points northward, 72 degrees below the horizontal. a) Is the top or the bottom of the antenna at the higher potential? b) Find the induced emf between the ends of the antenna


Homework Equations


E=Bvl


The Attempt at a Solution



I started with E=Bvl where E=5.9 *10-5T *(cos 18 or 108 not sure)* 25m/s * .85m and get a value of 1.19mV with cos 18. however not sure should I use 108 instead but don't know the reasoning help someone
 
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does no one know the answer to this question
 
Hint: To use that formula, you need the component of B perpendicular to the antenna.
 

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