Q232 · Practice questionComplex familiar5 marks
QUESTION 232 (5 marks)
A long air-core solenoid of length carries and produces an internal field of . Use and neglect end effects.
a)[3 marks]
Estimate the number of turns.
b)[2 marks]
The same coil is shortened uniformly to without changing its turn count, and the current is reduced to . Determine the new internal field.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) Approximately turns. (b) .
Worked solution
(a) gives . A physical coil has an integer number of turns, approximately 796.
(b) For fixed N, . Hence , giving . Using a rounded integer N gives a consistent value within rounding.
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: Convert millitesla to tesla.
Part a: Rearrange using turns per unit length.
Part a: Calculate an appropriate integer estimate.
Part b: Account for both current and turns-per-length changes.
Part b: Calculate the new field.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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