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Figure given shows four arrangement of charged particles, all at the same distance from the origin. Rank the situations according to the net electric potentials (V1, V2, V3, V4) at the origin, most positive first :-

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Important Questions on Electrostatics

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Two charges q1 and q2 are placed 30cm apart, as shown in the figure. A third charge q is moved along the arc of a circle of radius 40cm from C to D. The change in the potential energy of the system is q34πε0k, where k is:

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Four points a,b,c and d are set at equal distance from the centre of a dipole as shown in the figure. The electrostatic potentials Va,Vb,Vc and Vd would satisfy the following relation:

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Figure shows a family of parallel equipotential surfaces and four paths along which an electron is made to move from one surface to another as shown.

(A) What is the direction of the electric field?

(B) Rank the paths according to work done, greatest first.

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For the hollow thin cylinderical current carrying pipe which statement is correct :- 
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If mechanical system is taken equivalent to electrical system then displacement x is analogous to 
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A charge q=10-6C of mass 2 g (fig.) is free to move when released at a distance 'a' from the fixed charge Q. Calculate its speed, when it recedes to a distance b:

 

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[Assume a=1 m, b=10 m, Q=10-3 C]

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A point charge q of mass m is located at the centre of a ring having radius R and charge Q with its axis oriented along X- axis. When the point charge is displaced slightly, it accelerates along the X-axis to infinity; the ultimate speed of the point charge (consider no energy loss in radiation) is
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An electron of mass me initially at rest moves through a certain distance in a uniform electric field in time t1. A proton of mass  mp also initially at rest takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio of t2/t1 is nearly equal to: