At the equator, the earth’s field is essentially horizontal; near the north pole

Question

At the equator, the earth’s field is essentially horizontal; near the north pole, it is nearly vertical. In between, the angle varies. As you move farther north, the dip angle, the angle of the earth’s field below horizontal, steadily increases. Green turtles seem to use this dip angle to determine their latitude. Suppose you are a researcher wanting to test this idea. You have gathered green turtle hatchlings from a beach where the magnetic field strength is 50 ?T and the dip angle is 56?. You then put the turtles in a 1.2 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 150-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? ?

Part B) What current should you pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62? ?

Express your answer to two significant figures and include the appropriate units.

Problem 24.54 18 of 19 > Constants Part A At the equator, the earth's field is essentially horizontal; near the north pole, it is nearly vertical. In between, the angle varies. As you move farther north, the dip angle, the angle of the earth's field below horizontal, steadily increases. Green turtles seem to use this dip angle to determine their latitude. Suppose you are a researcher wanting to test this idea. You have gathered green turtle hatchlings from a beach where the magnetic field strength is 50 ?T and the dip angle is 56" You then put the turtles in a 1.2 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 150-turn horizontal coil wrapped around the tank. This creates a field that adds to that of the earth 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? O clockwise Submit Part B What current should you pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62? Express your answer to two significant figures and include the appropriate units. 1-Value Units Submit est

Explanation / Answer

Solution:

(A)

Using len'z law as we know;

The induced field will be as so it can oppose it's origin(from which it's been generated).

B)

Given;

Dip angle = 62 degrees

let the field due to Coil is B :

tan 62 = (B + 50 * sin(56)/50cos(56))

=> B = 11.13 *10-6 T

If the current in the coil is I :

u0**N*I/(2R) = B

=> 4pi *10^-7 * 150 * I/(1.5) = 11.13 *10^-6

=> I = 0.0886 A

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