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The instantaneous value of the EMF induced in a rotating wire loop is

  • directly proportional to the sine of the angle between the loop and the field.
  • indirectly proportional to the sine of the angle between the loop and the field.
  • directly proportional to the cosine of the angle between the loop and the field.

Explanation from PART66Online

Instantaneous EMF depends on the rate at which the conductors cut flux, which is greatest when the plane of the loop lies along the field and zero when the loop is perpendicular to it. Measuring the angle between the loop and the field, this rate follows the cosine, so EMF is directly proportional to the cosine of that angle. The output is a maximum at zero degrees and falls to zero at ninety degrees.

Y

yourguess31 asked · 10 Dec 2013

how do you get cosine?

Community Comments (2)

P
PART66Online 13 Dec 2013
When the loop is laying parallel with the field (0 degrees) there is maximum EMF. Cos0 = 1.
P
Ptarbin 7 May 2016
when the loop is parallel with the field, how is that 0degrees? I thought if the loop is parallel with the field the loop is at 90 and 270, therefore making emf proportional to Sine.

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