Q261 · Practice questionComplex familiar4 marks
QUESTION 261 (4 marks)
A -turn generator coil has area per turn in a uniform field. It rotates uniformly. In , the angle between its area normal and the field changes from to .
a)[2 marks]
Calculate the magnitude of the average induced EMF over this quarter turn.
b)[2 marks]
Explain why the EMF changes sign between the first half turn ( to ) and the second half turn ( to ).
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
(a) . (b) Flux decreases throughout the first half turn and increases throughout the second, so its derivative and the induced EMF reverse sign.
Worked solution
(a) and . Thus .
(b) changes from to in the first half turn and back to in the second. Because , reversing the flux-change sign reverses the EMF.
Equivalent physically justified methods, alternative valid sketches and consistent units accepted.
Accept sensible significant figures and consistent rounding from stated constants.
Part a: Find the per-turn flux change.
Part a: Use Faraday law to find the average magnitude.
Part b: Describe the opposite signed flux changes in the two half turns.
Part b: Link opposite flux slopes to opposite EMF signs.
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