Part of an electric circuit is shown in Fig. 5.1. The circuit is used to produce half-wave rectification of an alternating voltage of potential difference (p.d.) $$$V_{\text {IN }}$$$. The output p.d. across the $$$14 \mathrm{k} \Omega$$$ resistor is $$$V_{\text {OUT }}$$$. Fig. 5.2 shows the variation with time $$$t$$$ of $$$V_{\mathrm{IN}}$$$. Fig. 5.3 shows the variation with $$$t$$$ of $$$V_{\text {OUT }}$$$. Calculate the capacitance of C. Give a unit with your answer. $$$ \text { capacitance }= $$$ unit

Physics

IGCSE&ALevel

CAIE

Exam No：9702_s23_qp_43 Year：2023 Question No：5(b)(iii)

Answer:

$\tau=R C$
$\begin{aligned} \text { capacitance } & =0.038 / 14000 \\ & =2.7 \times 10^{-6} \mathrm{~F}\end{aligned}$

Knowledge points:

1.2.1 recall the following SI base quantities and their units: mass (kg), length (m), time (s), current (A), temperature (K), amount of substance (mol)

1.2.2 express derived units as products or quotients of the SI base units and use the named units listed in this syllabus as appropriate

1.2.3 use SI base units to check the homogeneity of physical equations

1.2.4 use the following prefixes and their symbols to indicate decimal submultiples or multiples of both base and derived units: pico (p), nano (n), micro (μ), milli (m), centi (c), deci (d), kilo (k), mega (M), giga (G), tera (T)

1.2.5 understand and use the conventions for labelling graph axes and table columns as set out in the ASE publication Signs, Symbols and Systematics (The ASE Companion to 16–19 Science, 2000)

19.1.1 define capacitance and the farad, as applied to both isolated conductors and to parallel plate capacitors

19.1.2 recall and use C = $\frac{Q}{V} $

19.1.3 derive, using the formula , conservation of charge and the addition of potential differences, formulae for combined capacitance for capacitors in series and in parallel

19.1.4 solve problems using the capacitance formulae for capacitors in series and in parallel

Answer:

Knowledge points:

Solution:

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