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Question:

A point charge +Q is placed just outside an imaginary hemispherical surface of radius R as shown in the figure. Which of the following statements is/are correct?

The circumference of the flat surface is an equipotential

The component of the electric field normal to the flat surface is constant over the surface

Total flux through the curved and the flat surface is Q/ε₀

The electric flux passing through the curved surface of the hemisphere is −Q/2ε₀(1−√2)

Solution:

Φ=q/2ε₀(1−cosΦ)
Here, Φ=π/2
So, Φ=q/2ε₀(1−π/4)
Φ=−q/2ε₀(1−√2)
Also the circumference of the flat surface is an equipotential.