A large nonconducting sheet M is given a uniform charge density. Two unchared small metal rods A and B are placed near the sheet as shown in figure

A large nonconducting surface has a uniform charge density sigma . A small circular hole ofradius R is cut in the middle of the sheet, as shown in figure. Ignore fringing of the field lines around all edges calculate the electric field at' pointP, a distancez from the centre of the hole along its axis.

In the figure shown S is a large nonconducting sheet of uniform charge density sigma . A rod R of length l and mass 'm' is parallel to the sheet and hinged at its mid point. The linear charge densities on the upper and lower half of the rod are shown in the figure. Find the angular acceleration of the rod just after it is released.

In the figure shown S is a large nonconducting sheet of uniform charge density sigma . A rod R of length l and mass 'm' is parallel to the sheet and hinged at its point. The linear charge densities on the upper and lower half of the rod are shown in the figure. Find the angular acceleration of the rod just after it is released [(3sigmalambda)/(2m in_(0))]

An infinitely large non-conducting sheet of thickness t and uniform volume charge density rho is given in which left half og the sheet contains charge density rho and right half contains charge density. Find the electric field at the symmetry plane of this sheet

A block having mass m and charge Q is resting on a frictionless plane at a distance d from fixed large non-conducting infinite sheet of uniform charge density -sigma as shown in Figure. Assuming that collision of the block with the sheet is perfectly elastic, find the time period of oscillatory motion of the block. Is it SHM ?

A uniform rod AB of mass m and length l is hinged at its mid point C. The left half (AC) of the rod has linear charge density -lamda and the right half (CB) has + lamda where lamda is constant. A large non conducting sheet of uniform surface charge density sigma is also present near the rod. Initially the rod is kept perpendicular to the sheet. The end A of the rod is initialy at a distance d. Now the rod is rotated by a small angle in the plane of the paper and released. Prove that the rod will perform SHM and find its time period.

Two infinitely large charged planes having uniform surface change density + sigma and - sigma are placed along xy plane and yz plane resp as shown in figure. Then nature of electric lines of force in xz plane is given by

Find the total force on charge q due to a charge rod having linear charge density lamda C/m placed as shown in figure.