Physics 5054 · O Level · Resistance

Resistance — practice question

The current in a metal wire and the potential difference (p.d.) across it are measured. Fig. 10.1 presents a graph of current plotted against p.d. for the wire.
(a(i))[1]

State the relationship between the current and the p.d. for the metal wire.

(a(ii))[1]

State how the graph indicates that the temperature of the wire does not change in the experiment.

(a(iii)1)[1]

A second wire made from the same material has the same length as the original wire, but its cross-sectional area is only half as large. Compare the resistance of the new wire and the original wire.

(a(iii)2)[1]

On Fig. 10.1, draw the graph for the new wire.

(b(i)1)[2]

Three resistors are connected to a d.c. power supply, as shown in Fig. 10.2. The electromotive force (e.m.f.) of the power supply is $6.0\,\text{V}$. Calculate the total resistance of the circuit.

(b(i)2)[2]

Calculate the current delivered by the power supply.

(b(i)3)[2]

Calculate the potential difference across the $20\,\Omega$ resistor.

(b(ii)1)[1]

The d.c. power supply is a battery containing several cells. Each cell has an electromotive force (e.m.f.) of $1.5\,\text{V}$. State what the electromotive force (e.m.f.) of a cell means.

(b(ii)2)[2]

In the space below, draw a diagram showing how four of these cells are connected to make a battery of e.m.f. $6.0\,\text{V}$. Mark the positive terminal of the battery.

(b(ii)3)[1]

In a different arrangement for producing a battery of e.m.f. $6.0\,\text{V}$, eight cells of e.m.f. $1.5\,\text{V}$ are connected. In this arrangement, some cells are in series and others are in parallel. In the space below, draw a diagram to show how the eight cells are connected to make the battery.

(c)[1]

State one benefit of using a battery made from cells in parallel instead of a single cell.

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