Question

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

Answer 1

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 placed perpendicular to the direction of magnetic field is given as:

$\boxed{\phi =BA\cos\theta }$

Here, $B$ is the magnetic field, $A$ is the cross-sectional and $\theta$ is the angle between the coil and the magnetic field.

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

The magnetic flux induced in the coil is directly proportional to the area of the coil because due to larger area of the coil more number of magnetic field lines will pass through it and the change in position of the coil will also change the magnetic flux linked with the coil.

Thus, in the above case, if the magnetic field is increased in the region, the magnetic flux of the coil will also increase.

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.

Answer 2

Magnetic flux Ф is given by
Ф = ∫В.dA

dA is an element of area of the surface, the integration is carried over the entire surface through which we wish to calculate the flux. B is magnetic field.

If direction of coil is remained the same, area of the coil remains the same. But as we increase the magnetic field, the number of field lines passing through the coil increases. Therefore the magnetic flux will increase.