How Is EMF Induced in a Rotating Rectangular Loop?

[daimoku]

[SOLVED] Emf in a rectangular loop

Homework Statement

A rectangular loop (area = 0.15 m^2) turns in a uniform magnetic field, B = 0.16 T. When the angle between the field and the normal to the plane of the loop is pi/2 rad and increasing at 0.70 rad/s, what emf is induced in the loop?

Homework Equations

Flux=B*A

EMF=-N (delta flux/delta time)

The Attempt at a Solution

Flux= 0.16T * 0.15 m^2 = 0.024

Not sure what to do for the EMF.
Divided pi/2 radians by 0.70 rad/s to find time of 2.24 seconds. Then divided the flux by the time so... 0.024/2.24=0.011V

Thanks in advance for your help!

 

[daimoku]

Actually, I was making a silly mistake...answer was off by one decimal place because I misread the area to be 0.015 m^2. Pretty simple problem lol

 

[Moetasim]

Your calculations for the flux and time are correct. To find the EMF induced in the loop, you can use the equation EMF=-N (delta flux/delta time). In this case, N=1 since there is only one loop. So, the EMF would be equal to -1 * (0.024/2.24) = -0.011V. Since EMF is a scalar quantity, you can remove the negative sign and the final answer would be 0.011V. This means that an EMF of 0.011V is induced in the loop when the angle between the magnetic field and the normal to the plane of the loop is pi/2 radians and increasing at a rate of 0.70 rad/s.