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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? check all that apply. check all that apply. the flux is unchanged because the position of the coil with respect to b⃗ is unchanged. the flux increases because the magnitude of b⃗ increases. the flux decreases because the magnitude of b⃗ increases. the flux is unchanged because the surface area of the coil is unchanged.

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skyluke89
The correct answer is
the flux increases because the magnitude of b increases.

In fact, the magnetic flux is given by
[tex]\Phi_B = B A \cos \theta[/tex]
Where B is the intensity of the magnetic field, A the area enclosed by the coil and [tex]\theta[/tex] the angle between the direction of B and the perpendicular to the area A.
We can see that since in the problem the intensity of B increases, and the direction remains unchanged, then the magnetic flux increases as well.

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

Further Explanation:

When the magnetic field in the region is changed or the area through which the magnetic field lines passes through the coil is changed, there is a change in the flux linked with the coil.

The expression for the magnetic flux linked with a coil in a magnetic field is given as:

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

Here, [tex]B[/tex]  is the magnetic field, [tex]A[/tex]  is the area of coil and [tex]\theta[/tex]  is the angle.

The above explanation describes that the magnetic flux in a coil is directly proportional to the strength of the magnetic field because higher the strength of the magnetic field higher will be the number of magnetic field lines through the coil.

The magnetic flux through the coil is directly proportional to the area of cross-section of the coil because if the more number of lines pass through the coil of larger area, the magnetic flux will be increased. The changing position of the coil will also lead to the change in the effective area in the path of the field and it changes the magnetic flux linked with the coil.

Therefore, due to increase in the magnetic field, the magnetic flux of the coil will be increased.

So, The magnetic flux linked of 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.

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