How Does Rotating Magnetic Flux Arise from Perpendicular Alternating Fluxes?

[conorordan]

Homework Statement

Sketch phasors for two alternating fluxes with a 90 degree phase difference. If the two fluxes are directed at right angles, show that the resultant flux rotates.

Homework Equations

perhpas $N\Phi=BANcosθ$ although I don't think it's necessary

The Attempt at a Solution

I've done the phasors, simply two arrows at a right angle to each other (not joined though).

I think that if the two fluxes are across each other, in an X shape, I add the flux vectors at various points and a circle will form. Is this correct?

 

[anathema]

Your attempt at the solution is correct. When two alternating fluxes with a 90 degree phase difference are directed at right angles to each other, the resultant flux will rotate. This can be seen by adding the flux vectors at various points, which will form a circle. This is because the two fluxes are continuously changing in magnitude and direction, resulting in a circular motion of the resultant flux.

To further visualize this, imagine a clock with the two fluxes as the hour and minute hands. As they continuously change in position and direction, the tip of the resultant flux vector will trace out a circular path, just like the movement of the hands on a clock.

I hope this helps clarify your understanding. Keep up the good work!