3. Electricity and Magnetism

Capacitance — Quiz

Test your understanding of capacitance with 5 practice questions.

Practice Questions

Question 1

Two identical capacitors, each of capacitance $C$, one initially charged to voltage $V_0$ and the other uncharged, are connected in parallel after disconnecting from any source. What fraction of the initial stored energy remains after connection?

Question 2

To achieve a time constant $\tau=0.01\ \mathrm{s}$ in an RC circuit with capacitance $C=2.0\ \mu\mathrm{F}$, what resistance $R$ is required?

Question 3

A capacitor of capacitance $C=4.0\ \mu\mathrm{F}$ carries charge $Q=20.0\ \mu\mathrm{C}$. What is the energy $E$ stored in the capacitor?

Question 4

A student plots $\ln V(t)$ versus $t$ for a discharging capacitor and finds the gradient of the straight line to be $-0.10\ \mathrm{s^{-1}}$. What is the time constant $\tau$ of the RC circuit?

Question 5

Why do capacitors connected in series carry the same charge $Q$ on each capacitor?