# Parallel-Plate Capacitors – numerical worksheet

In this post, we have presented a collection of numerical problems on Parallel-plate capacitors in the form of a numerical worksheet. This is good for grade 11 and grade 12 students.

## Parallel-Plate Capacitors – worksheet | numerical problems

Q1 ) A synthetic sweater becomes statically charged by friction. The sweater and the skin beneath it act as a 75 nF capacitor. The person wearing the sweater comes into contact with a conducting surface that carries away the charge stored in the capacitor by producing a 240 mV spark.

How much charge was stored in the capacitor?

How many excess electrons were stored by the sweater? e = 1.6×10-19 C

Q2 ) An 12.5 µF parallel plate capacitor stores 1000 µC of charge. What is the potential difference across its plates?

Q3 ) A 675 µF parallel plate capacitor has a potential difference of 25 V across its plates. What charge does the capacitor store?

Q4 ) At the instant when the current through the resistor in the circuit shown in the diagram is 0.5 A, what charge is stored by the 20 µF capacitor in the circuit?

Q5 ) The capacitor in the circuit shown in the diagram stores a charge of 3 mC. What is the potential difference V across the resistor?

Q6 ) A parallel-plate capacitor has square plates with sides 25 cm long, 2.5 cm apart. Find the capacitance of the capacitor.

Use the value 8.85×10-12 C2/N⋅m2 for the permittivity of the space between the plates.

Q7 ) A 2.1 nF parallel plate capacitor has square plates with sides 15 cm long, 1.5 cm apart. Find the permittivity of the space between the plates.

Q8 ) A parallel plate capacitor has square plates with sides 25 cm long, 7.5 mm apart. The potential difference across the plates is 25 V and the permittivity of the space between the plates is 8.85×10-12 C2/N⋅m2. What is the charge stored by the capacitor?

Q9 ) A parallel plate capacitor has square plates with a 2.25 V/m uniform electric field between them. The permittivity of the space between the plates is 1.10×10-11 C2/N⋅m2. What is the charge density of the plates?

Solutions: coming soon

Parallel-Plate Capacitors – numerical worksheet
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