Assessment: Capacitor and Capacitance

What does a capacitor store between its two plates?

A capacitor stores 0.001 C of charge at 25 V. Find its capacitance, in μF.

A parallel-plate capacitor has plates of area 0.05 m², separated by 0.002 m of air. Find its capacitance, in pF.

A 50 μF capacitor is charged to 20 V. Find the energy stored, in mJ.

Find the total capacitance of three capacitors — 2 μF, 3 μF, and 6 μF — connected in parallel.

A 25 μF capacitor stores 0.0015 C of charge. Find the voltage across it.

Why do some circuits include a capacitor connected in parallel with the power supply?

An engineer wants to triple the energy stored in a capacitor without changing its capacitance. By what factor should the voltage change?

Two capacitors, 5 μF and X μF, are connected in series and produce a total capacitance of 3 μF. Find X.

A parallel-plate capacitor has C=100 pF with air (εᵣ=1) between the plates. If a dielectric with εᵣ=5 is inserted (same area and separation), find the new capacitance.