**GCSE Standard Questions: Electric Circuits**

**Q7.** Indie investigated how the total resistance of identical resistors connected in series varied with the number of resistors. He used an ohmmeter to measure the total resistance of the resistors.

This diagram shows the Indie's circuit with three resistors. He repeated each reading of resistance three times.

This table shows Indie's results for three resistors in series.

(a) Calculate the mean resistance of one resistor.

**[2 marks]**

(b) What was the resolution of the ohmmeter the student used?

**[1 mark]**

(c) How do the results show that the student's measurements were precise?

**[1 mark]**

(d) Indie shows his results on a graph.

(i) Explain how the results show that the total resistance is **directly proportional** to the number of resistors?

**[1 mark]**

(ii) Use the graph to predict the mean total resistance of seven resistors.

**[1 mark]**

(e) Some resistors are connected in series with a battery. When more resistors are added in series, the total resistance increases. Choose answers from the box to complete the following sentences. Each answer may be used once, more than once or not at all.

decreases |
increases |
remains the same |

(i) When the number of resistors increases,

the potential difference across each resistor _ _ _ _ _ .

(ii) When the number of resistors increases,

the current in the circuit _ _ _ _ _ _ _.

**[2 marks]**

**(Total 8 marks)**