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Thanks for your reply @Frabjous! because the number of field lines going into the loop is equal to the number going out.Frabjous said:
Thanks for your reply @Frabjous ! I think the direction of the B-field relative to the surface normal varies along the surface.Frabjous said:What is the sign of cosθ for the surface of interest? Hint: the normal to the surface is pointing to the right. The B field is pointing to the left.
Thanks for your reply @Frabjous ! I think the sign is negative because ##\theta > 90 ## so ##\cos\theta < 0 ##Frabjous said:Yes it varies, but it is all the same sign. What is the sign?
The flux through a loop is determined by the strength and orientation of the magnetic field passing through it. If the magnetic field is perpendicular to the loop, then the flux will not be zero. This is because the magnetic field lines will pass through the loop and contribute to the overall flux.
The orientation of the loop relative to the magnetic field is crucial in determining the flux. If the loop is parallel to the magnetic field, the flux will be zero because no magnetic field lines pass through the loop. However, if the loop is perpendicular to the magnetic field, the flux will not be zero as the magnetic field lines pass through the loop.
The flux from a magnet is stronger at certain points on the loop because the magnetic field lines are closer together at those points. This is due to the shape and strength of the magnet, as well as the orientation of the loop. The closer the magnetic field lines are, the stronger the flux will be.
The distance between the magnet and the loop can affect the flux in two ways. First, the closer the magnet is to the loop, the stronger the magnetic field will be and therefore the stronger the flux. Second, if the distance between the magnet and the loop is increased, the magnetic field will spread out and the flux will decrease.
Yes, the flux through a loop can be zero if the loop is parallel to the magnetic field. In this case, no magnetic field lines pass through the loop and therefore the flux will be zero. Additionally, if the magnetic field is zero, the flux through the loop will also be zero regardless of its orientation.