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Motion in Electromagnetic Fields · Paper 2 — Free Physics SL Practice Questions

1ChallengeSAQ-LCyclotron and magnetic force on a current7 marksPaper 2~11 min

A rectangular current-carrying loop is placed in a uniform magnetic field directed into the page. The loop has width

w = 0.12\,\text{m}

and height

h = 0.080\,\text{m}

, carries a current

I = 5.0\,\text{A}

clockwise, and the magnetic field has magnitude

B = 0.40\,\text{T}

. The loop is free to rotate about a vertical axis through its centre. The plane of the loop is initially perpendicular to the magnetic field. -

F = BIL\sin\theta

\tau = BIAN\sin\phi

, where

\phi

is the angle between the plane of the loop and the field direction

(a)

Calculate the magnitude of the magnetic force acting one vertical side of the loop. [2 marks]

(b)

The loop is rotated so that its plane makes angle of

30^\circ

with the magnetic field direction. Calculate the magnitude of the torque acting on the loop. [2 marks]

(c)

Explain why the loop experiences a torque but no net translational force in the orientation described in (b). [2 marks]

(d)

The loop in (b) is replaced by a coil of

N = 50

turns with the same dimensions, current, and orientation. Evaluate whether this coil would reach rotational equilibrium at the same angular position as the single-turn loop, and determine the angle at which the torque on the 50-turn coil is a maximum. [1 mark]

Solutions

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