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Question 18M.2.HL.TZ2.4

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Date May 2018 Marks available [Maximum mark: 8] Reference code 18M.2.HL.TZ2.4
Level HL Paper 2 Time zone TZ2
Command term Comment, Determine, Show that, State Question number 4 Adapted from N/A
4.
[Maximum mark: 8]
18M.2.HL.TZ2.4

The diagram shows a potential divider circuit used to measure the emf E of a cell X. Both cells have negligible internal resistance.

M18/4/PHYSI/SP2/ENG/TZ2/04

(a)

State what is meant by the emf of a cell.

[2]

Markscheme

the work done per unit charge

in moving charge from one terminal of a cell to the other / all the way round the circuit

 

Award [1] for “energy per unit charge provided by the cell”/“power per unit current”

Award [1] for “potential difference across the terminals of the cell when no current is flowing” 

Do not accept “potential difference across terminals of cell”

[2 marks]

AB is a wire of uniform cross-section and length 1.0 m. The resistance of wire AB is 80 Ω. When the length of AC is 0.35 m the current in cell X is zero.

(b.i)

Show that the resistance of the wire AC is 28 Ω.

[2]

Markscheme

the resistance is proportional to length / see 0.35 AND 1«.00»

so it equals 0.35 × 80

«= 28 Ω»

[2 marks]

(b.ii)

Determine E.

[2]

Markscheme

current leaving 12 V cell is 12 80 = 0.15 «A»

OR

E = 12 80  × 28

E«0.15 × 28 =» 4.2 «V»

 

Award [2] for a bald correct answer

Allow a 1sf answer of 4 if it comes from a calculation.

Do not allow a bald answer of 4 «V»

Allow ECF from incorrect current

[2 marks]

(c)

Cell X is replaced by a second cell of identical emf E but with internal resistance 2.0 Ω. Comment on the length of AC for which the current in the second cell is zero.

[2]

Markscheme

since the current in the cell is still zero there is no potential drop across the internal resistance

and so the length would be the same

 

OWTTE

[2 marks]