A circular loop of wire is rotated at constant angular speed about an axis whose direction can be varied. In a region where a uniform magnetic field points straight down, what must be the orientation of the loop's axis of rotation if the induced emf is to be zero?

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aristocles aristocles · Answer 1 · 2019-07-29T03:21:37+02:00

Answer:

here the coil must be oriented in such a way that its plane is perpendicular to the magnetic field

Explanation:

As we know by Faraday's law of electromagnetic induction

Rate of change in magnetic flux will induce EMF in the coil

so here we will have

[tex]EMF = \frac{d\phi}{dt}[/tex]

here we know that

[tex]\phi = NB.A[/tex]

now if the magnetic flux will change with time then it will induce EMF in the coil

[tex]EMF = N\frac{d}{dt}(B.A)[/tex]

so here induced EMF will be zero in the coil if the flux linked with the coil will remain constant

so here the coil must be oriented in such a way that its plane is perpendicular to the magnetic field

In such a way when coil will rotate then the flux linked with the coil will remains constant and there will be no induced EMF in it