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Problem Create a Plate Capacitor with a Certain Capacitance

A charged plate capacitor with dielectric
Level 2 (without higher mathematics)
Level 2 requires school mathematics. Suitable for pupils.
A charged plate capacitor with dielectric
Plate codensator with area \( A \), charge \( Q \), distance \( d \), voltage \( U \) and the dielectric between the plates.

Capacitors are characterized by the electrical capacitance. It tells you how good a capacitor can "store" electric charge. The goal of modern technology is usually to produce the smallest possible capacitors with the largest possible capacitance so that such a component also fits into your smartphone.

You want to have a plate capacitor which has a capacitance of \( C = 0.5 \, \text{nF} \) (nano farad). The area of a capacitor plate is given as \( A = 12 \, \text{cm}^2 \).

  1. How large do you have to choose the distance \( d \) of the plates to reach this capacitance?

  2. What else can you do to achieve the specified capacitance when the plate distance is set to \( d = 1.5 \, \text{mm} \)?

Solution tips

All you need is the formula for the capacitance of a plate capacitor.

Exercise solutions

Solution for (a)
Formula anchor
Plattenabstand mittels Kapazität
Formula anchor
Plattenabstand konkret berechnet
Formula anchor
Solution for (b)
Relative Permittivität mittels Kapazität
Formula anchor
Relative Permittivität konkret berechnet
Formula anchor