Q233 · Practice questionComplex unfamiliar6 marks
QUESTION 233 (6 marks)
A horizontal wire of length is supported by a force sensor in a uniform magnetic field directed into the page. The sensor reads the upward support force. With current to the right, its reading is . Reversing the current gives a reading of . The wire stays at rest, and the whole stated length is in the field. Ignore forces on connecting leads. Use .
a)[1 mark]
State the magnetic-force direction when the current is to the right.
b)[3 marks]
Determine the magnetic field strength.
c)[2 marks]
Determine the wire's mass.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
(a) Upward. (b) . (c) .
Worked solution
(a) For conventional current to the right and magnetic field into the page, the right-hand rule gives an upward magnetic force.
(b) The two support readings are and . Their difference is , so . With the wire perpendicular to B, .
(c) The mean support reading is the weight: . Therefore .
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: Give the upward direction from the current and field.
Part b: Recognise that the reading difference is twice the magnetic force.
Part b: Calculate the magnetic-force magnitude.
Part b: Apply to calculate B.
Part c: Identify the mean reading as the weight.
Part c: Calculate mass from the weight.
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