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I am posting all my doubts one by one from electrostatics..kindly help..
1) A charge 'Q' is distributed uniformly on a ring of radius 'r'.A sphere of radius 'r' is constructed with its centre at the periphery of the ring. Find the flux of the electric field through the surface of the sphere?(Plz explain the symmetry part.That is my actual doubt)
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11 Answers
24only one third of ring is inside the sphere....
=> Charge enclosed=Q/3
=> φ=qenclosed/ε=Q/3ε
regarduing ur symmetry dbt..u will note that one hemispherical part of sphere lies above ring and other lies below the ring so that a ocmplete enclosure is created[1]
1how can u say only1/3rd of ring is inside sphere..plz explain the symmetry behind this???
1thnx for the reply @xyz..
2) A charge Q is placed at a distance a/2 above the centre of a horizontal,square surface of edge a . Find the flux of the electric field through the square surface?
62Well I could not find a link.. SO am giving the solution itself
look at a cube of side a
and place a charge at the center of it...
Now equal flux will pass through each of the 6 faces..
if you notice the question asks us the flux through one face..
Total flux is Q/ε
Through each face it is Q/6ε [1]
1thnx nishant sir!
3)A charge Q is distributed uniformly within the material of a hollow sphere of inner and outer radii r1 and r2. Find the electric field at a point P adistance x away from the centre for r1 < x < r2.Draw a rough figure showing the electric field as a function of x for 0 < x < 2r2 ?
4) A very thin disc is uniformly charged with surface charge density σ>0.Find the electric field intensity E on the axis of this disc at the point from which the disc is seen at an angle Ω ?
62This is a regular one from guass' law.
take a sphere of radius r find the charge enclosed....
And then try to solve the same...
1An insulated conductor initially free from charge is charged by repeated contacts with a plate which after each contact is replenished to charge Q.If q is the charge on the conductor after first operation prove that the minimum charge which can be given to the conductor in this way is Qq/(Q-q)
16) Three parallel metalllic plates eachof area A and charges q1,q2 and q3 are given to them.Find the resulting charge distribution on the six surfaces,neglecting edge effects as usual
7)using the concept of energy density,find the total energy stored in a
a)parallel plate capacitor
b)charged spherical conductor
8)Find the charge stored in the Capacitor
