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Which of the following statements are correct?

(a) The density of electric lines of force at a point is independent of the magnitude of electric field intensity vector E at that point.
(b) The density of electric lines of force at a point is proportional to the magnitude of electric field intensity vector E at that point.
(c) Actually, the electric field lines do not exist. This is just a graphical description of the electric field.
(d) Actually, the electric field lines exist.

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Important Questions on Electrostatics

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Three charges q1=1×10-6 C, q2=2×10-6 C, and q3=-3×10-6 C have been placed as shown in the figure. Then the net electric flux will be maximum for the surface
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Electric field is given by E=8i^+4j^+3k^ N C-1. Electric flux through surfaces of area 100 m2 layer in X-Y plane, Y-Z plane and X-Z plane are in ratio

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The figure below shows an imaginary cube of side a. A uniformly charged rod of length a2 moves towards the right at a constant speed v. At t=0, the right end of the rod just touches the left face of the cube. Plot a graph between electric flux ϕE passing through the cube versus time (t).

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An isolated conducting sphere has a 10 cm radius. Two wires are connected to it. One caries a current of 1.000002 A into it and the other carries a current of 1.000000 A out of it. How long would it take for the sphere to increase its potential by 900 V as compared to its initial value?
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A graph of the x component of the electric field as a function of x in a region of space is shown. The y and z components of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x=2.0 m is 

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The electric potential in a region is given by V=2x2-3y volt, where x and y are in metres. The electric field intensity at a point (0, 3 m, 5 m) is,