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Question 21M.2.HL.TZ2.a.ii

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Date May 2021 Marks available [Maximum mark: 2] Reference code 21M.2.HL.TZ2.a.ii
Level HL Paper 2 Time zone TZ2
Command term Determine Question number a.ii Adapted from N/A
a.ii.
[Maximum mark: 2]
21M.2.HL.TZ2.a.ii

The primary coil of a transformer is connected to a 110 V alternating current (ac) supply. The secondary coil of the transformer is connected to a 15 V garden lighting system that consists of 8 lamps connected in parallel. Each lamp is rated at 35 W when working at its normal brightness. Root mean square (rms) values are used throughout this question.

Determine the total resistance of the lamps when they are working normally.

[2]

Markscheme

ALTERNATIVE 1

calculates total current =3515×8«=18.7 A»

resistance =«1518.7=» 0.80«Ω»


ALTERNATIVE 2

calculates total power = 35×8 « = 280 W» ✓

resistance =«152280=» 0.80«Ω»


ALTERNATIVE 3

calculates individual resistance =15235«=6.43Ω»

resistance =«6.438»=0.80«Ω»