An automobile has a vertical radio antenna 1.05 m long. The automobile travels a

Question

An automobile has a vertical radio antenna 1.05 m long. The automobile travels at 66.0 km/h on a horizontal road where Earth's magnetic field is 50.0 mu T, directed toward the north and downward at an angle of 65.0 degree below the horizontal. (a) specify the direction the automobile should move so as to generate the maximum motional emf in the antenna, with the top of the antenna positive relative to the bottom. north east West south (b) Calculate the magnitude of this induced emf. Apply the expression for the potential difference between the ends of a wire moving at known velocity through a magnetic field. Make sure you take into account the relative directions that the wire, its velocity, and any magnetic field component must have in order for the velocity of the wire to produce an emf along the wire. mV

Explanation / Answer

magnitude of induced EMF

E = BVL sin theta

here

theta = 90-65 = 25 degree

substituting values we get

E = 0.4067 mVolts

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