You are provided with a voltmeter V, a chemical cell/battery E; two standard resistors R1and

R2; a potentiometer AB; a key K; a jockey and other necessary materials.

(i) Set up a circuit as shown in the diagram above.

(ii) Close the key K.

(iii) Make contact with the potentiometer wire AB using the jockey at a point C such
that AC = x = 20 crn. (iv)Read and record the voltmeter reading, V.

(v)Evaluate x^{-1}and V^{-1}.

(vi)Repeat the procedure for other values of x = 30, 40,50,60 and 80 cm.

(vii)Tabulate your readings.

(viii Plot a graph with *V*^{-1}on the vertical axis and x^{-1}on the horizontal axis, starting both axes
from the origin (0, 0).

(ix) Determine the:

(A) slope, s, of the graph;

(B) intercept, e, on the vertical axis.

(x) State two precautions taken to ensure 'accurate results.

(b)(i) State two devices in which Ohm's law does not apply.

(ii)A current of l A is supplied to two resistors of resistances 2Ω and 3 Ω connected
in parallel. Calculate the current in each resistor.

This question was popular among the candidates and they gave good accounts of themselves. Some
of them could not evaluate the required reciprocals of V and X and those that did, could not express
the results to required number of decimal places. Determination of the intercept C on the vertical
axis was a problem because of poor scale used by most candidates.

The part b (i) and (ii) were poorly attempted.

The expected answers are:

__OBSERVATIONS ____[10] __

(i) Six values of x read and recorded in cm to at least 1 decimal place

(ii) Six values of V read and recorded in volts to at least 1 decimal place
and in trend, *Yz *mark each.

[Trend: V increases as x increases]

(iii)Six values of X^{-1} correctly evaluated to at least 3 decimal places.

(iv) Six values of V^{-1} correctly evaluated to at least 3 decimal places

(v) Composite table showing x, V, X^{-1} and V^{-1}.

__GRAPH ____[06] __

(i) Axes correctly distinguished* 1/2 *mark each.

(ii)Reasonable scales,*1/2 *mark each.

(iii)Six points correctly plotted,*1/2*mark each.

(iv) Line of best fit

Note: If origin not shown, deduct* 1/2 *mark for d.i.

__SLOPE [02l __

(i)Large right angled triangJe

(ii) ∆V^{-1} correctly determined

(iii)∆x^{ -1} correctly determined

(iv) (∆v^{-1})/(∆x^{-1}) correctly evaluated

__INTERCEPT ____[01] __

Intercept on the vertical axis:

correctly shown

correctly recorded

__ACCURACY ____[01] __

Based on teacher's value of resistance per unit length ofpotentiometre wire
slope = s = resistance per unit length ± 10%

__PRECAUTIONS__ [02]

Award 1 mark each for any two correct precautions

e.g

Tight connections/clean terminals was ensured

Key removed when reading are not being taken

Parallax error avoided in reading voltmeter/rule

Zero error noted and corrected for in the voltmeter/rule

Dragging jockey along wire avoided

(Accept any other valid precautions).

(b)(i) Award 1 mark each for any two correct devices stated:

e.g. - Diode (p-n)

- Valves

- Transistors, metal rectifier

(Accept any other correct devices)

(ii) 1/R= 1/R1 + 1/R2

= ½ + 1/3 = 5/6

R = 6/5 Ω

V = IR = 1 x 6/5 = 6/5 V

I_{2}Ω = 6/5 ÷ 2 = 3/5 A

I_{3}Ω = 6/5 ÷ 3 = 2/5 A

__Alt____. ____Method __

I_{1} = 2/5 × 1 =0.4 A

I_{2}= 3/5 ×1= 0.6A