Physics 9702 · AS & A Level

Capacitors and capacitance

35 practice questions on Capacitors and capacitance, with worked solutions and instant marking.

Define capacitance.

Feb/March 2016

What is the capacitance of a parallel-plate capacitor?

Feb/March 2019

State two roles that capacitors play in electrical circuits.

May/June 2010

State two uses of capacitors in electrical circuits.

May/June 2010

An insulated metal sphere with radius $R$ is placed in a vacuum. Its charge $q$ may be treated as a point charge located at the centre of the sphere.

May/June 2013

A student assembles the circuit in Fig. 7.1 in order to measure the charge on a capacitor C for a range of potential differences across the capacitor. Fig. 7.2 shows how the charge Q stored on the capacitor varies with potential difference V.

May/June 2016

State two uses of capacitors in electrical circuits, apart from smoothing direct current.

May/June 2016

A student arranges the circuit in Fig. 7.1 in order to measure the charge on capacitor $C$ for a range of potential differences across the capacitor. The way in which the charge $Q$ stored on the capacitor changes with potential difference $V$ is shown in Fig. 7.2.

May/June 2016

Explain the meaning of the capacitance of a parallel plate capacitor.

May/June 2018

Explain what the capacitance of a parallel plate capacitor means.

May/June 2018

Explain the meaning of the capacitance of a parallel plate capacitor.

May/June 2018

State two separate functions that capacitors perform in electrical circuits.

May/June 2019

State two distinct functions that capacitors perform in electrical circuits.

May/June 2019

State what the capacitance of a parallel plate capacitor means.

May/June 2021

Explain how the plates may function as a capacitor.

May/June 2021

State what the capacitance of a parallel plate capacitor means.

May/June 2021

What does the capacitance of a parallel plate capacitor mean?

May/June 2022

Define capacitance in words.

Oct/Nov 2010

Define capacitance in words.

Oct/Nov 2010

State two uses of capacitors in electrical circuits.

Oct/Nov 2011

Define capacitance as the charge stored per unit potential difference.

Oct/Nov 2012

Define capacitance in this context.

Oct/Nov 2012

State two roles that capacitors play in electrical circuits.

Oct/Nov 2013

Three capacitors, each with capacitance $48\,\mu\text{F}$, are arranged as shown in Fig. 6.1.

Oct/Nov 2014

Define the term capacitance.

Oct/Nov 2016

Capacitors P and Q, each with capacitance $C$, are linked in series to a battery of e.m.f. $9.0\,\text{V}$, as illustrated in Fig. 6.1. A switch $S$ is used to place either a third capacitor $T$, which also has capacitance $C$, or a resistor $R$, in parallel with capacitor P.

Oct/Nov 2017

Two capacitors P and Q, each with capacitance $C$, are arranged in series with a battery of e.m.f. $9.0\,\text{V}$, as illustrated in Fig. 6.1. Switch S allows either a third capacitor T, also having capacitance $C$, or a resistor R, to be connected in parallel with capacitor P.

Oct/Nov 2017

Define what is meant by the capacitance of a parallel plate capacitor.

Oct/Nov 2020

Define what is meant by the capacitance of a parallel plate capacitor.

Oct/Nov 2020

Define the capacitance of a parallel plate capacitor in terms of charge stored and potential difference.

Oct/Nov 2020

The capacitor shown in Fig. 6.1 has two parallel metal plates with air between them, separated by a variable gap $x$. The capacitance $C$ varies inversely with $x$. A supply charges the capacitor so that a potential difference (p.d.) $V$ exists across the plates.

Oct/Nov 2021

A capacitor is formed from two parallel metal plates, with air between them, separated by a variable distance $x$, as shown in Fig. 6.1. Since $C$ is inversely proportional to $x$, the capacitor is charged by a supply so that the plates have a potential difference (p.d.) $V$. State expressions, in terms of $C$ and $V$, for the charge $Q$ on one plate and for the energy $E$ stored in the capacitor.

Oct/Nov 2021

Two parallel plate capacitors $C_1$ and $C_2$ are linked to a supply with potential difference (p.d.) $V_S$. They may be arranged either in series or in parallel. The supply delivers charge $Q_S$, and the plates of the two capacitors end up with charges $Q_1$ and $Q_2$ respectively. The p.d.s across the capacitor plates are $V_1$ and $V_2$ respectively.

Oct/Nov 2025

An isolated conducting sphere in a vacuum has a capacitance of $69\,\text{pF}$, and the sphere carries a charge of $+83\,\text{pC}$.

Oct/Nov 2025

Two parallel-plate capacitors $C_1$ and $C_2$ are attached to a supply with potential difference (p.d.) $V_S$. They can be arranged either in series or in parallel. The supply delivers charge $Q_S$, while the plates of the two capacitors gain charges $Q_1$ and $Q_2$ respectively. The p.d.s across the capacitor plates are $V_1$ and $V_2$ respectively. Complete Table 6.1 to show the relationships between $Q_S$, $Q_1$ and $Q_2$, and between $V_S$, $V_1$ and $V_2$, for series and parallel connections of the capacitors to the supply.

Oct/Nov 2025