Physics 9702 · AS & A Level · Potential dividers

Potential dividers — practice question

Fig. 6.1 shows how the resistance $R_T$ of a thermistor varies with temperature. The thermistor is placed in the circuit shown in Fig. 6.2. The battery provides an e.m.f. of $9.0\,\text{V}$ and has negligible internal resistance. The voltmeter has infinite resistance.
(a(i))[2]

For the thermistor at $22.5^{\circ}\text{C}$, Calculate the total resistance between points A and B on Fig. 6.2.

(a(ii))[2]

For the thermistor at $22.5^{\circ}\text{C}$, calculate the voltmeter reading.

(b(i))[2]

The thermistor temperature is altered. The voltmeter now shows $4.0\,\text{V}$. Determine the total resistance between points A and B on Fig. 6.2.

(b(ii))[2]

Determine the temperature of the thermistor.

(c)[2]

A student suggests that the voltmeter, which reads up to $10\,\text{V}$, could be calibrated for temperature measurement. Suggest two disadvantages of using the circuit of Fig. 6.2 with this voltmeter to measure temperature over $0^{\circ}\text{C}$ to $25^{\circ}\text{C}$.

(ii)[2]

Find the temperature of the thermistor.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: At $22.5^\circ\text{C}$, the thermistor resistance is $R_T = 1600\,\Omega$ or $1.6\,\text{k}\Omega$.

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