7. An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where the Earth's horizontal magnetic field is 5.5*10-5T. What is the maximum possible emf induced in the antenna due to this motion?

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Physics

2 February, 20:27

7. An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where the Earth's horizontal magnetic field is 5.5*10-5T. What is the maximum possible emf induced in the antenna due to this motion?

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Gerardo Kane · Answer 1

0.00479 volts

Explanation:

From Faraday's law of electromagnetic induction, the induced emf equals the change in magnitude flux (magnetic field strength multiplied by the area = BA) divided by the time change

Therefore we have the equation

EMF = BA:t

Since area A = 2πr

EMF = Bπr²:t

B = 5.5*10^ (-5)

Velocity = 100km/h = 27.7778m/s

r = 1m, t = r:V = 0.036

EMF = Bπr²:t = (5.5*10^ (-5) x π x (1) ²) : 0.036 = 0.00479 Volts