# Problem Create a Plate Capacitor with a Certain Capacitance

Level 2 (without higher mathematics)
Level 2 requires school mathematics. Suitable for pupils.

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