Question

You have gathered green turtle hatchlings from a beach where the magnetic field strength is 50 μT and the dip angle is 56∘. You then put the turtles in a 1.1 m diameter circular tank and monitor the direction in which they swim as you vary the magnetic field in the tank. You change the field by passing a current through a 200-turn horizontal coil wrapped around the tank. This creates a field that adds to that of the earth. Part A In what direction should current pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62∘ ? In what direction should current pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62 ? (a)clockwise (b)counterclockwise

Answer 1

Answer:

Explanation:

Angle of dip = 56° , magnetic field strength = 50μT

Vertical component = 50 x sin 56 = 41.45 μT

Horizontal component = 50 cos 56 = 27.96μT

New field is added in vertical downwards direction to increase the vertical component so as to increase the angle of dip . Let this field be B

total vertical field = B +  41.45

Horizontal component = 27.96

dip angle be θ

tanθ = vertical component / horizontal component

tan62 = B +  41.45 / 27.96

1.88 = B +  41.45 / 27.96

52.58 = B +  41.45

B = 11.13 μT

Since magnetic field has to be added , current should be clockwise when looked from above.