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Subject: Electromagnetic Field Theory

please mention each step involving in the solution.

Question No. 5 a) If \( B=B \overrightarrow{a_{z}} \), then prove that magnetic flux passing through hemisphere of radius \( \mathrm{r}=5 \mathrm{~cm} \) centered at the origin and bounded by the plane \( z=0 \) is equal to the magnetic flux passing through the disc. b) Explain the equation \( \nabla \cdot B=0 \)

In this case, the magnetic field is along the z direction, that is B?=Ba^z Now we need to find the magnetic flux through a hemisphere of radius R=5 cm