Two infinite planes sepated by a distance l carryinga uniformsurface chargeof densities sigmaand...

Two infinite planes sepated by a distance l carrying a uniform surface charge of densities sigma and -sigma . The planes have round coaxial holes of radius R , with l lt lt R . Taking the origin O and the x cordinates axis as shown in the figure, find the potentail of the electric field and the projection of its strength vector E_(x) on the area of the system as functions of the x cordiante. Draw the appoximate plot varphi (x) .

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

Two infinitely large charged planes having uniform suface charge density +sigma and -sigma are placed along x-y plane and yz plane respectively as shown in the figure. Then the nature of electric lines of forces in x-z plane is given by:

There are two infinite plane sheets each having uniform surface charge density +sigma C//m ^(2) They are inclined to each other at an angle 30^(@ ) as shown in the figure. Electric field at any arbitrary point P is:

Two infinite plane parallel sheets, separated by a distance d have equal and opposite uniform charge densities sigma . Electric field at a point between the sheets is

Two charged thin infinite plane sheets of uniform surface charge density sigma_(+) and sigma_(-) where |sigma_+| gt|sigma_(-)| , intersect right angle Which of the following best represents the electric field lines for this system:

Two infinite planes each with uniform surface charge density +sigma are kept in such a way that the angle between them is 60°. The electric field in the region shown between them is given by

A very long straight thread is oriented at right angles to an infinite conducting plane, its end is separated from the plane by a distance l . The thread carries a uniform charge of linear density lambda . Suppose the point O is the trace of the thread on the plane . FInd the surface density of the induced charge on the plane (a) at point O . (b) as a function of a distance r from the point O .

A thin wire ring of radius R carries a charge q . The ring si oriented parallel to an infinite conducting plane and is spearated by a distance l from it. Find : (a) the surface chagre density at that point fo the plane symmetrical with respect to the ring, (b) the strength and the potential of the electric field at the centre of the ring.