In a physics laboratory experiment, a coil with 180 turns enclosing an area of 13.5 cm^2 is rotated during the time interval 5.00×10-2 s from a position in which its plane is perpendicular to earth's magnetic field to one in which its plane is parallel to the field. the magnitude of earth's magnetic field at the lab location is 5.00×10-5 t. a) what is the total magnitude of the magnetic flux ( phi_initial) through the coil before it is rotated? b) what is the magnitude of the total magnetic flux phi_final through the coil after it is rotated? express your answer numerically, in webers, to at least three significant figures. c) what is the magnitude of the average emf induced in the coil? express your answer numerically (in volts) to at least three significant figures

A)

The total magnetic flux through the coil before it is rotated is given by:

where

N = 180 is the number of turns in the coil

is the magnetic field intensity

is the area enclosed by the coil

is the initial angle between the direction of the normal to the surface of the coil and the magnetic field

Substituting, we find

B) 0

The total magnetic flux through the coil after it is rotated is still given by:

where this time,

is the final angle between the direction of the normal to the surface of the coil and the magnetic field

since , we now have that the total flux through the coil is zero.

C)

The magnitude of the average emf induced in the coil is given by

where

is the change of total flux

is the time taken

Susbtituting, we find

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when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.