[PSET/EM-02001]

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Three equal charges are placed at the corners of an equilateral triangle.Show that the electric field at the center is zero.
Find the direction and magnitude of \(\vec{E}\) at the center of a square with charges at the corners as shown in figure below. Assume that \(q= 1\times 10^{-8}\)coul, \(a=5\)cm.
Sixteen equal charges \(q\) are placed at the corners of a regular polygon of 17 sides. Find the force exerted by these charges on a seventeenth charge \(q\) placed at the center of the polygon.
Show that the electric field at the center of a regular \(N\)-sided polygon iszero when equal charges are placed at the corners of the polygon.
Three equal charges are placed at the corners of an equilateral triangle.Show that the electric field at the center is zero.
Three charges are located on the circumference of a circle of radius \(R\) as shown in the figure below. The two charges \(Q\) subtend an angle \(90^o\) at the centre of the circle. The charge \(q\) is symmetrically placed on thecircumference with respect to the charges \(Q\). What is the magnitude of \(Q\) if the electric field at the centre is zero?
A spherical surface of radius \(R\) is cut into two parts by a plane passing through the two points \(A, B\) as shown in Fig 1.A point charge \(Q\) is placed at a point \(C\) outside the sphere, and is at a distance \(d > R\) from the centre, It is given that lines AC and BC are tangents to the sphere. Find the total flux of the electric field passing through the surface.

4727:Diamond Point