Q171 · Practice questionComplex unfamiliar5 marks
QUESTION 171 (5 marks)
The graph gives the signed magnetic flux per turn of an -turn stationary coil. Positive flux is out of the page. The graph is piecewise linear. Define positive EMF as driving conventional current counterclockwise when viewed on the page; this is the circulation associated with the outward normal.
a)[3 marks]
Determine the signed EMF during each interval: , and .
b)[2 marks]
If the coil is a closed conducting circuit, explain the induced current direction in the last interval.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) , , , respectively. (b) Counterclockwise, producing an out-of-page field.
Worked solution
(a) Use . The first slope is , giving . The middle slope is zero. The last slope is , giving . Values at the idealised sharp corners are not requested.
(b) The signed outward flux decreases throughout the interval, including when the inward flux starts increasing. Lenz's law requires an induced field out of the page to oppose this change. The right-hand rule gives counterclockwise current.
Equivalent physically justified methods and consistent equivalent units accepted.
Displayed decimals are model answers; accept appropriate significant figures and consistent rounding from stated constants.
Part a: Calculate the first EMF including its sign.
Part a: Identify zero EMF for constant flux.
Part a: Calculate the final EMF including its sign.
Part b: Use Lenz law to oppose the change in signed flux.
Part b: Connect an outward induced field with counterclockwise current.
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