## 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.

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

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

In this exercise (with solution) you practice calculating gravitational potential energy to get a feel for this form of energy.

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

In this exercise (with solutions), the big O notation is practiced by checking functions to see if they lie in the big O set.

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.

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

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