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

Trigonometry allows to find the results for the questions of increasing the angle of the magnetic field and the direction of the current are:

Added vertical magnetic field is B = 11.1 μT

The current goes clockwise.

Given parameters

The magnetic field is: B = 50 μT

The angle θ₁ = 52º

The final angle θ₂ = 62º

To find

Added magnetic field.

Current direction.

Trigonometry allows you to find the relationships between the angles and the sides of a right triangle.

The earth's magnetic field is a vector with magnitude and direction, let's use trigonometry to clip the components of the field.

sin θ₁ = [tex]\frac{B_y}{B}[/tex]

cos θ₁ = [tex]\frac{B_x}{B}[/tex]

[tex]B_y[/tex] = B sin θ₁ = 50 sin 56

Bₓ = B cos ta = 50 cos 56

[tex]B_y[/tex] = 41.45 mT

Bₓ = 27.96 mT

Indicate that we want to increase the angle of the magnetica field up to 62º, therefore we must add a value to the vertical component since when adding a value on the x-axis the angle decreases, see attached.

tan θ₂ = [tex]\frac{B_y +B}{B_x}[/tex]

[tex]B_y + B = B_x \ tan \ \theta_2[/tex]

[tex]B = B_x \ tan \ \theta_2 - B_y[/tex]

Let's calculate.

B = 27.96 tan 62 - 41.45

B = 11.1 μT

The field is positive therefore using the rule of the right hand, the thumb points in the direction of the magnetic field and the fingers closed points in the direction of the current, therefore the current is clockwise.

In conclusion using trigonometry we can find the results for the question of increasing the angle of the magnetic field are;

The current goes clockwise

Added vertical magnetic field is B = 11.1 μT

Learn more here: brainly.com/question/23844803