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B= mag field direction,

I = current,

L = length of wire,

F = induced force by magnetic field on the current carrying wire in the field

so why does the induced force tend to increase at a much lesser amount when the angles become bigger, i.e around 70 - 90degrees.

i plotted the graph of Force against angle and found that at low angles, it is approximately linear. but at high angles, it sort of curve downwards, forming a concave maximum point graph.

is this due to the inherent sin(theta) characteristic , or is it because of the fact that nature is as it is, and hence we use sin(theta) and not (theta) for the formula?

so if its nature, then is there any explanation as to why high angles do not behave linearly with the induced force?

thanks a lot!