Flux associated with the cap of a sphere having semi-vertical (semi- vertex) angle `alpha` and let charge `Q` is placed at centre is

Find the flux through shaded region, due to charge Q placed at vertex of a cube

Flux passing through the shaded surface of a sphere when a point charge q is placed at the center is (radius of the sphere is R)

point charge q is placed on the top of a cone of semi vertex angle theta .The electric flux through the base of the cone is

Inside a neutral hollow conducting sphere of radius X and centre C, a point charge q is placed as shown in the figure. Another point charge q_1 , is placed outside the sphere at distance d from centre. The net- electrostatic force on charge q placed at the centre is K=1/(4piepsilon_0)

Four point charges q, q, q and – q are placed at the vertices of a square of side length a. The configuration is changed and the charge are positioned at the vertices of a rhombus of side length a with – q charge at the vertex where angle is 120^(@) . Find the work done by the external agent in changing the configuration.

Find the total flux due to charge q associated with the given hemispherical surface

In figure (a), a charge q is placed just outside the centre of a closed hemisphere. In figure (b), the same charge q is placed just inside the centre of the closed hemisphere and in figure (c), the charge is placed at the centre of hemisphere open from the base. Find the electric flux passing through the hemisphere in all the three cases.

Q charge is uniformaly distributed over the same surface of a right circular cone of semi -vertical angle theta and height h The cone is uniformly rotated about its axis at angular velocity omega Calculated associated magnetic dipole moment .

A point charge q is placed at a distance (a)/(2) directly above the centre of a horizontal square of side 'a' and another point charge -q is placed at a distance 'a' directly below one of its (the square's) corners. The electric flux through the square is :

A charge "q" is placed at the centroid of an equilateral triangle. Three charges having same "],[" charge equal to "Q" are placed at the vertices of the triangle.The system of four charges will be in equilibrium if "q" is equal to