Questions on EMF and internal resistance
Q5. A battery of EMF
and internal resistance r is connected in series to a variable resistor R and an ammeter of negligible resistance. A voltmeter is connected across R, as shown in the diagram.
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(a)
(i) State what is meant by the EMF of the battery.
(ii) The reading on the voltmeter is less than the EMF. Explain why this is so.
(3)
(b) A student wishes to measure
and r. Using the circuit shown above, the value of R is decreased in steps, and at each step the readings V and I on the voltmeter and ammeter respectively are recorded.
These are shown in the table below.
reading on voltmeter/V |
reading on ammeter/A |
8.3 |
0.07 |
6.8 |
0.17 |
4.6 |
0.33 |
2.9 |
0.44 |
0.3 |
0.63 |
(i) Give an expression relating V, I,
and r.
(ii) Draw a graph of V (on the y-axis) against I (on the x-axis) on graph paper.
(iii) Determine the values of
and r from the graph, explaining your method.
(9)
(Total 12 marks)
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