Question

In: Physics

An automobile has a vertical antenna 1.40 m long. The automobile travels eastward at 65 km/h...

An automobile has a vertical antenna 1.40 m long. The automobile travels eastward at 65 km/h on a horizontal road where the Earth's magnetic field is 50.2

Solutions

Expert Solution

Giventhat the   length of the antena is L = 1.40 m

        the velocityof   the   auto mobile is v = 65.0 Km/h =65.0 Km/hr (1m /10-3Km)(1hr/ 3600s)

                                                                = 18.06 m/s

             the earths magnetic field is B = 50.2?T =50.2*10-6 T

     ---------------------------------------------------------------------------------

    if the top of the antenna positive relativeto the bottom , for aximum antenna

                     F = q(v ? B)

       so the auto must movetowards east because angle is 90degrees

? =B*L*v

               = ( 50.2*10-6 T )*(1.40 m )(18.06 m/s)sin 65.50

               = 1.155*10^-3 V


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