Question

A coil has N_a turns enclosing an area of A. In a physics laboratory experiment, the coilis rotated during the time interval Deltat from a position in which theplane of each turn is perpendicular to Earth's magnetic field toone in which the plane of each turn is parallel to the field. Themagnitude of Earth's magnetic field at the lab location isB.

a.)What is the total magnitude Phi_initial of the magneticflux through the coil before it is rotated?
b.)What is the magnitude Phi_final of the total magneticflux through the coil after it is rotated?
c.)What is the magnitude of the average emf induced in the coil?

Answer 1

Answered

Step-by-step explanation:

a) The magnitude of the magnetic flux through the coil before it is rotated is,

`\phi_(initial)= BAsin\theta`

=BAsin90° = BA

therefore, the magnitude of the magnetic flux= BA

b) The magnitude of the magnetic flux through the coil after it is rotated is, Ф_final = BAsinθ

= BA sin0= 0

therefore, the magnitude of magnetic flux through the coil after it is rotated is, zero.

c) The magnitude of the average emf induced in the coil is,

`\epsilon = N(d\phi)/(dt)`

`\epsilon = N(NBA)/(\Delta t)`

because Ф = BA