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Question 85 of 87 in Units (Electricity)

Units (Electricity)

4 marks · Normal

The table shows data collected by a student measuring current through two different components, X and Y, as the voltage increases. Both are measured at room temperature.

Current and voltage for components X and Y
Voltage (V)Current in X (A)Current in Y (A)
00.000.00
0.50.080.15
1.00.160.30
1.50.240.37
2.00.320.39
(a)

Using the table, calculate the resistance of component X at 1.5 V.

[2 marks]
(b)

State the unit for resistance and suggest, giving a reason, which component is likely to be a filament bulb.

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) 6.25 Ω

(b) The unit of resistance is the ohm (Ω). Component Y is likely the filament bulb, because the current increases less with voltage at higher voltages, indicating increasing resistance (non-ohmic).

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Marking points

M1 (a) · 1 mark · Uses R = V / I with correct table values (V=1.5, I=0.24). (follow-through)

A1 (a) · 1 mark · Accurate answer, quoted to two decimal places (6.25 Ω).

B1 (b) · 1 mark · States correct unit used for resistance (ohm, Ω).

E1 (b) · 1 mark · Identifies Y as filament bulb with valid explanation about current/voltage relationship.

Worked solution

a) R = V / I = 1.5 V / 0.24 A = 6.25 Ω

b) The unit is ohm (Ω). Component Y is probably the filament bulb because the increase in current with voltage slows down at higher voltage, which is characteristic of bulbs as their resistance rises with temperature.

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