# Physics: Exercises with solutions

Here you can solve 6 physics exercises to gain experience, as well as to test your acquired knowledge. You can then compare your solution with the given solution attached to the exercise. Even if you have difficulties in solving the problem, you can at least try to reproduce the attached solution.
Exercise with solution
Level 3 (up to Physics B.Sc.)

## Simplify 6 Integrals with the Delta Function

Here you practice calculating integrals in which a Dirac delta function occurs. You have to use the properties of the Dirac's delta.

Exercise with solution
Level 3 (up to Physics B.Sc.)

## Simplify 6 expressions with Kronecker delta

Here you practice the properties of the Kronecker delta by simplifying given expressions as much as possible.

Exercise with solution
Level 2 (suitable for students)

## Create a plate capacitor with a certain capacitance

In this exercise (with solution) you have to calculate the distance between the capacitor plates for a given capacitance and and than use relative permittivity.

Exercise with solution
Level 3 (up to Physics B.Sc.)

## Capacitor with and without dielectric in comparison

In this exercise with solution about the plate capacitor, the capacitance, voltage and energy must be compared with and without dielectric.

Exercise with solution
Level 4 (up to Physics M.Sc.)

## Torsion tensor & Christoffel symbols with torsion

In this problem (with solution) you have to derive the torsion tensor and then the expression for Christoffel symbols with torsion.

Exercise with solution
Level 2 (suitable for students)

## Charge in a thundercloud

The exercise teaches you how to calculate the charge of a thundercloud using the capacitance and E-field in the plate capacitor.