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Question 18N.2.HL.TZ0.2b

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Date November 2018 Marks available [Maximum mark: 2] Reference code 18N.2.HL.TZ0.2b
Level HL Paper 2 Time zone TZ0
Command term Calculate Question number b Adapted from N/A
b.
[Maximum mark: 2]
18N.2.HL.TZ0.2b

A lighting system consists of two long metal rods with a potential difference maintained between them. Identical lamps can be connected between the rods as required.

The following data are available for the lamps when at their working temperature.

 

Lamp specifications                      24 V, 5.0 W

Power supply emf                         24 V

Power supply maximum current   8.0 A

Length of each rod                       12.5 m

Resistivity of rod metal                 7.2 × 10–7 Ω m

(b)

Calculate the maximum number of lamps that can be connected between the rods. Neglect the resistance of the rods.

[2]

Markscheme

current in lamp = 5 24 «= 0.21» «A»

OR

n = 24 ×  8 5

 

so «38.4 and therefore» 38 lamps ✔

 

Do not award ECF from MP1