Practising Gauss law

We have a charge qq placed at the origin in cartesian co-ordinate system.

Let the electric flux thorugh the surface defined as:

x2+y2=24,1z5 x^{2}+y^{2}=24, 1 \le z \le 5, x,y,zx,y,z in S.I units.

is given by flux =abqϵ0= \dfrac{a}{b}\dfrac{q}{{\epsilon}_{0}}

Find a+ba+b where a,ba,b are coprime integers.

ϵ0{\epsilon}_{0} is the permitivitty of vaccum.


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