Q169 · Practice questionComplex unfamiliar5 marks
QUESTION 169 (5 marks)
A straight wire has of its length in a uniform magnetic field. The angle between current and field is . A force sensor gives readings as current varies. The fitted graph is shown. Assume the sensor has a constant additive zero offset and the magnetic force is zero at .
a)[2 marks]
Determine the sensor zero offset and the gradient in SI units.
b)[3 marks]
Determine the magnetic flux density.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) Offset ; gradient . (b) .
Worked solution
(a) The intercept is . The gradient is .
(b) , so gradient . Thus . Dividing a single raw reading by without removing the offset would overestimate .
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: Read and convert the zero offset.
Part a: Calculate the slope using a difference of readings and convert units.
Part b: Identify the slope as the coefficient of current in the force equation.
Part b: Account for the wire angle and rearrange for field strength.
Part b: Calculate B from the gradient.
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