In: Physics
In a physics laboratory experiment, a coil with160 turns enclosing an area of 11.2 cm2 is rotated during the time interval 4.10×10^-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 4.00×10^-5 T.
Part A
What is the total magnitude of the magnetic flux ( ?initial) through the coil before it is rotated?
Express your answer numerically, in webers, to at least three significant figures.
Part B
What is the magnitude of the total magnetic flux ?final through the coil after it is rotated?
Express your answer numerically, in webers, to at least three significant figures.
Part 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.
Given that the turns of the coil N=160.
The time interval =4.1010-2 s.
Area of the coil A=11.2 cm2=11.210-4 m2.
The magnitude of the earth's magnetic field B=4.0010-5 T.
Part A) Let magnetic flux before rotating is .
The angle between the magnetic field and the area of the coil is 0o before rotating.
We know the magnetic flux
Part B) Let the total magnetic flux after rotation is .
The angle between the area of the coil and the magnetic field is 90o.
We know the magnetic flux
Part C) Let the average emf induced in the coil is e.
Given that the time interval =4.1010-2 s.
Change in flux
We know the induced emf in the coil is