A boat is sailing due north, as indicated by its compass needle, in a location where Earth's magnetic field is 2.0 X 10-5 T. The boat’s captain inadvertently places his radio on the shelf directly above the compass. If the 5.0 A current carrying wire of the radio is aligned in a north-south direction and is 30 cm directly above the compass, how much from due north with the compass needle be deflected?

Question

A boat is sailing due north, as indicated by its compass needle, in a location where Earth's magnetic field is 2.0 X 10-5 T. The boat’s captain inadvertently places his radio on the shelf directly above the compass.  If the 5.0 A current carrying wire of the radio is aligned in a north-south direction and is 30 cm directly above the compass, how much from due north with the compass needle be deflected?

nathan917 · Answer

a.    d = 3
       un = a + n − d
      u101 = 2 +100—3
       u101 = 302 




b.  152 = 2 + (n −1)(3)
      150 = (n −1)(3),
       50 = n −1,
      152 = −1+ 3n
       n = 51