Magnetic flux through a coil you hold a wire coil so that the plane of the coil is perpendicular to a magnetic field b⃗ . part a if the magnitude of b⃗ increases while its direction remains unchanged, how will the magnetic flux through the coil change?

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The magnetic flux linked with the coil will increase because the magnitude of the magnetic field is increased.

Further Explanation:

The magnetic flux linked with a coil perpendicular to the magnetic field is given as:

[tex]\boxed{\phi=BA\cos\theta}[/tex]

Here, [tex]B[/tex] is the magnetic field present in the region, [tex]A[/tex] is the cross-sectional area of the coil and [tex]\theta[/tex] is the angle made by the surface area of the coil with the magnetic field.

The above expression shows that the magnetic flux linked with a coil is directly proportional to the strength of the magnetic field because more the strength of the field more will be the number of magnetic field lines passing through the coil.

The magnetic flux induced is directly proportional to the area of cross section of the coil because more the area of the coil more will be the number of magnetic field lines passing through it and the changing position of the coil will also lead to the change in the magnetic flux linked with the coil.

Thus, in the above case, when the magnetic field is increased in the region, there will be an increase in the magnetic flux of the coil.

So, the magnetic flux linked with the coil will increase because the magnitude of the magnetic field is increased.

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Answer Details:

Grade: Senior School

Subject: Physics

Chapter: Electromagnetic Induction

Keywords:

Magnetic flux, magnetic field, linked with the coil, area of cross-section of coil, flux increases, increased magnetic field, and direction remains unchanged.