Question

The magnetic flux through a loop:

A. is maximized when the B field lines in the plane of the loop
B. is zero when the B field is perpendicular to the plane of the loop
C. doesn't depend on the direction of the B field
D. depends just on the B field going through the loop
E. is proportional to the number of magnetic field lines going through it

Answer 1

D. depends just on the B field going through the loop

Step-by-step explanation:

The magnetic flux trough a loop is given by the formula:

`\Phi_B=\vec{B}\cdot \vec{A}`

`\Phi_B=BAcos\theta`

Where B is the magnitude of the magnetic field and A is the area of the loop.

It is clear that the flux is maximum when the angle between the direction of B and the direction of the normal vector of A is zero (cos0 = 1).

Furthermore, we can notice that only the magnetic field that crosses the loop contributes to the flux.

Hence, the correct answer is:

D. depends just on the B field going through the loop

hope this helps!!

Answer 2

The magnetic flux through a loop is zero when the B field is perpendicular to the plane of the loop.

Step-by-step explanation:

Magnetic flux are also known as the magnetic line of force surrounding a bar magnetic in a magnetic field.

It is expressed mathematically as

Φ = B A cos(θ) where

Φ is the magnetic flux

B is the magnetic field strength

A is the area

θ is the angle that the magnetic field make with the plane of the loop

If B is acting perpendicular to the plane of the loop, this means that θ = 90°

Magnetic flux Φ = BA cos90°

Since cos90° = 0

Φ = BA ×0

Φ = 0

This shows that the magnetic flux is zero when the magnetic field strength B is perpendicular to the plane of the loop.