AP Free Response Question
2003 C3 E&M
Printer Friendly Version
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.
Topic Formulas
Description
Published Formula
Ampere's Law
Biot-Savat Law
capacitance
capacitance (dielectric)
capacitors in parallel
capacitors in series
Coulomb's Law
current density
electric current
electric field
electric field strength
electric potential energy
energy stored in a capacitor
energy stored in an inductor
Faraday's Law
force ona current-carrying wire
Gauss' Law
induced emf (inductor)
induced emf (magnetism)
Joule's Law
magnetic field around a current-carrying wire
magnetic field of a solenoid
magnetic flux
magnetic force on a moving charge
motional emf
Ohm's Law
potential due to a collection of point charges
resistance in parallel
resistance in series
resistivity
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Induced emf
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Electric Field Strength vs Electric Potential
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