SL Paper 3

The circuit shown may be used to measure the internal resistance of a cell.

M17/4/PHYSI/SP3/ENG/TZ2/02

The ammeter used in the experiment in (b) is an analogue meter. The student takes measurements without checking for a “zero error” on the ammeter.

An ammeter and a voltmeter are connected in the circuit. Label the ammeter with the letter A and the voltmeter with the letter V.

[1]
a.

In one experiment a student obtains the following graph showing the variation with current I of the potential difference V across the cell.

M17/4/PHYSI/SP3/ENG/TZ2/02b

Using the graph, determine the best estimate of the internal resistance of the cell.

[3]
b.

State what is meant by a zero error.

[1]
c.i.

After taking measurements the student observes that the ammeter has a positive zero error. Explain what effect, if any, this zero error will have on the calculated value of the internal resistance in (b).

[2]
c.ii.



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.