An 30-turn coil has square loops measuring 0.341 m along a side and a resistance of 3.61 Ω. It is placed in a magnetic field that makes an angle of 37.5° with the plane of each loop. The magnitude of this field varies with time according to B = 1.45t^3, where t is measured in seconds and B in teslas. What is the induced current in the coil at t = 1.73 s?

Thus, the induced current in the coil at is 9.98 A.

Explanation:

Faraday's law says

where is the number of turns and is the magnetic flux through the square coil:

Now,

;

therefore,

is the emf induced in the coil.

Now, the loop is connected to resistance; therefore, at

Thus, the current in the coil at is 9.98 A.

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day