# Practising Gauss law

**Electricity and Magnetism**Level 4

We have a charge \(q\) placed at the origin in cartesian co-ordinate system.

Let the electric flux thorugh the surface defined as:

\( x^{2}+y^{2}=24, 1 \le z \le 5\), \(x,y,z\) in S.I units.

is given by flux \(= \dfrac{a}{b}\dfrac{q}{{\epsilon}_{0}} \)

Find \(a+b\) where \(a,b\) are coprime integers.

\({\epsilon}_{0}\) is the permitivitty of vaccum.