Previous year questions
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Electrostatic Potential And Capacitance

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1
JEE Mains
Six point charges are kept at the vertices of a regular hexagon of side and centre , as shown in the figure. Given that , which of the following statement(s) is(are) correct ?
This question has multiple correct options
A
The electric field at is along .
B
The potential at is zero.
C
The potential at all points on the line is same.
D
The potential at all points on the line is same.
2
JEE Advanced
A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is . A hole with small area is made on the shell without affecting the rest of the shell. Which one of the following statement is correct?
A
The ratio of the potential at the centre of the shell to that of the point at from center towards the hole will be
B
The potential at the centre of shell is reduced by
C
The magnitude of electric field at the centre of the shell is reduced by
D
The magnitude of electric field at a point, located on a line passing through the hole and shell's center, on a distance from the center of the spherical shell will be reduced by

A point charge is placed just outside an imaginary hemispherical surface of radius as shown in the figure. Which of the following statements is/are correct? 
This question has multiple correct options
A
The electric flux passing through the curved surface of the hemisphere is
B
The component of the electric field normal to the flat surface is constant over the surface
C
Total flux through the curved and the flat surface is
D
The circumference of the flat surface is an equipotential