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Question 23M.2.HL.TZ1.7b

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Date May 2023 Marks available [Maximum mark: 4] Reference code 23M.2.HL.TZ1.7b
Level HL Paper 2 Time zone TZ1
Command term Determine Question number b Adapted from N/A
b.
[Maximum mark: 4]
23M.2.HL.TZ1.7b
(b)

Just before the loop is about to completely exit the region of magnetic field, the loop moves with constant terminal speed v.

The following data is available:

Mass of loop m = 4.0 g
Resistance of loop R = 25 mΩ
Width of loop L = 15 cm
Magnetic flux density B = 0.80 T

Determine, in m s−1 the terminal speed v.

[4]

Markscheme

mg = BIL  OR  I = 0.33 «A» ✓

BvL = IR  OR  ℰ = 8.25 × 10−3 «V»  OR  ℰ = 0.12v

Combining results to get v = mgRB2L2

v = «0.040×9.81×0.0250.802×0.152 =» 0.068 «m s−1»

Allow ECF between steps if clear work is shown.