Problem 21.13 When a car drives through the Earth\'s magnetic field, an emf is i

Question

Problem 21.13

When a car drives through the Earth's magnetic field, an emf is induced in its vertical 60-cm-long radio antenna.

Part A

If the Earth's field (5.0×105 T) points north with a dip angle of 38, which direction(s) will the car be moving to produce the maximum emf induced in the antenna?

Check all that apply.

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Part B

What is the maximum emf induced in the antenna? The car's speed is 30.0 m/s on a horizontal road.

Express your answer to two significant figures and include the appropriate units.

Problem 21.13

When a car drives through the Earth's magnetic field, an emf is induced in its vertical 60-cm-long radio antenna.

Part A

If the Earth's field (5.0×105 T) points north with a dip angle of 38, which direction(s) will the car be moving to produce the maximum emf induced in the antenna?

Check all that apply.

Check all that apply. in the west direction the south direction in the east direction in the north direction

SubmitMy AnswersGive Up

Part B

What is the maximum emf induced in the antenna? The car's speed is 30.0 m/s on a horizontal road.

Express your answer to two significant figures and include the appropriate units.

E =

Explanation / Answer

From question,

magantic field, B = 5*10^-5 T
velocity, V = 30 m/s
length of antenna, l = 60 cm = 0.6 m

induced EMF is given by expression,

emf = b*v*l*cosA
emf = 5*10^-5 * 30 * 0.6 * Sin38
emf = 5.54*10^-4 V

maximum induced emf in antenna is in east direction,

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