Q74 · Practice questionComplex familiar5 marks
QUESTION 74 (5 marks)
The magnetic flux through each turn of a -turn coil varies with time as shown. From to , the flux rises linearly from to ; it is constant from to and falls back to from to . Determine the induced EMF in each of these three intervals, including the relative polarity.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
–: ; –: ; –: with opposite polarity to the first interval.
Worked solution
Use .
From 1–2 s,
From 2–3 s, , so .
From 3–4 s, the flux change has the same magnitude but opposite sign, so the induced EMF has magnitude and opposite polarity.
Uses Faraday’s law.
Calculates first interval EMF.
Identifies zero EMF on plateau.
Calculates final interval magnitude.
Identifies opposite polarity.
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