Physics Electrostatics Potential & Capacitance JEE (Main) / AIEEE Problems Previous Years - ( Capacitance ) MCQ (Single Correct)

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?

A
Total flux through the curved and the flat surface is
B
The component of the electric field normal to the flat surface is constant over the surface
C
The circumference of the flat surface is an equipotential
D
The electric flux passing through the curved surface of the hemisphere is

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The correct answer is:
CHECK THE SOLUTION.

(c, d)

Sol.

φ φ total due to charge Q is =

so φ φ through the curved and flat surface will be less than

The component of the electric field perpendicular to the flat surface will decrease so we move away from the center as the distance increases (magnitude of electric field decreases) as well as the angle between the normal and electric field will increase.

Hence the component of the electric field normal to the flat surface is not constant.

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