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Date	November 2017	Marks available	1	Reference code	17N.3.SL.TZ0.2
Level	Standard level	Paper	Paper 3	Time zone	0 - no time zone
Command term	State	Question number	2	Adapted from	N/A

Question

An electrical circuit is used during an experiment to measure the current I in a variable resistor of resistance R. The emf of the cell is e and the cell has an internal resistance r.

A graph shows the variation of $\frac{1}{I}$ with R.

Show that the gradient of the graph is equal to $\frac{1}{e}$ .

[2]

a.

State the value of the intercept on the R axis.

[1]

b.

Markscheme

«ε = IR + Ir»

$\frac{1}{I} = \frac{R}{\varepsilon } + \frac{r}{\varepsilon }$

identifies equation with y = mx + c

«hence m = $\frac{1}{\varepsilon }$ »

No mark for stating data booklet equation

Do not accept working where r is ignored or ε = IR is used

OWTTE

a.

«–» r

Allow answer in words

b.

Examiners report

[N/A]

a.

[N/A]

b.

Syllabus sections

Core » Topic 5: Electricity and magnetism » 5.3 – Electric cells

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18M.1.HL.TZ1.17:
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17M.3.SL.TZ2.2b:
In one experiment a student obtains the following graph showing the variation with current I of the potential difference V across the cell.

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20N.1.HL.TZ0.18:
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Core » Topic 5: Electricity and magnetism