Q. A uniformly charged and infinitely long line having a liner charge density is placed at a normal distance from a point . Consider a sphere of radius with as the center and . Electric flux through the surface of the sphere is

Electrostatic Potential and Capacitance Report Error

A

zero

B

C

D

Solution:

Electric flux

is the charge enclosed by the Gaussian surface, which, in the present case, is the surface of the given sphere. As shown, length of line lies inside the sphere. In ,

and
Charge on length is
Therefore, electric flux is

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1. In the adjoining figure, the electric field lines for charges and are shown. Identify the sign of the charges.

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2. A charge is distributed over two concentric conducting thin spherical shells radii and . If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

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3. A little charged bead is inside the hollow frictionless sphere manufactured from the insulating material. Sphere has a diameter of . The mass of the bead is , its charge is . What minimum charge must carry an object at the bottom of the sphere to keep hold the charged bead at the vertex of the sphere in stable equilibrium?

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4. The capacitance of an air capacitor is the separation between the parallel plates is . A copper plate of thickness is introduced symmetrically between the plates. The capacitance now becomes

5. Three capacitors of and are connected in series to a source. The charge on the capacitor is

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