IB Physics SL B 5 13 Series and Parallel Circuits Questions

Practise IB Physics SL B.5.13 by reducing series and parallel networks, assigning current and potential difference correctly, and predicting branch changes.

Exam points

Interpret world-lines, simultaneity lines and intervals on space-time diagrams.
Use space-time diagrams to analyse motion, event ordering and relative observations using complete evidence.

[Maximum number: 4]

This question is in two parts. Part 1 is about a thermistor circuit. Part 2 is about vibrations and waves.
Part 1 Thermistor circuit
The circuit shows a negative temperature coefficient (NTC) thermistor X and a $100 \mathrm{k} \Omega$ fixed resistor R connected across a battery.

Figure for Question IB Physics SL B 5 13 Series and Parallel Circuits Questions question 1 — IB Physics SL

The battery has an electromotive force (emf) of 12.0 V and negligible internal resistance.

The graph below shows the variation with temperature T of the resistance $R_{\mathrm{x}}$ of the thermistor.

Determine the temperature of X when the potential difference across R is 4.5 V .

$V_X=7.5\,\mathrm{V}$ $I=\frac{4.5\,\mathrm{V}}{100\times10^3\,\Omega}=4.5\times10^{-5}\,\mathrm{A}$ $R_X=\frac{7.5\,\mathrm{V}}{4.5\times10^{-5}\,\mathrm{A}}=1.67\times10^5\,\Omega$ $T=-37\text{ to }-38\,^{\circ}\mathrm{C}$

Alternatively, use the potential-divider relation V_X/V_R=R_X/R_R or the equivalent resistance calculation.

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IB Physics SL B 5 13 Series and Parallel Circuits Questions question 1