PhysicsLAB AP Free Response Question
2003 C3 E&M

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An airplane has an aluminum antenna attached to its wing that extends 15 m from wingtip to wingtip. The plane is traveling north at 75 m/s in a region where Earth's magnetic field has both a vertical component and a northward component, as shown below.
 
 
The net magnetic field is at an angle of 55 degrees from horizontal and has a magnitude of 6.0 x 10-5 T.
 
 
(a) On the figure below, indicate the direction of the magnetic force on electrons in the antenna. Justify your answer.
 

 (b) Determine the magnitude of the electric field generated in the antenna.

 (c) Determine the potential difference between the ends of the antenna.

 
(d) On the figure below, indicate which end of the antenna is at higher potential.
 

(e) The ends of the antenna are now connected by a conducting wire so that a closed circuit is formed.
 
 i. Describe the condition(s) that would be necessary for a current to be induced in the circuit. Give a specific example of how the condition(s) could be created.

 
ii. For the example you gave in i. above, indicate the direction of the current in the antenna on the figure below.
 




 
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