Questions in Electrostatics

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Three identical point charges, as shown are placed at the vertices of an isosceles right angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point M of the hypotenuse
The displacement of a charge Q in the electric field $E = {e_1}\hat i + {e_2}\hat j + {e_3}\hat k$ is $\hat r = a\hat i + b\hat j$. The work done is
The potential at a point, due to a positive charge of $100\mu C$ at a distance of 9m, is
There is a solid sphere of radius ‘R’ having uniformly distributed charge. What is the relation between electric field ‘E’ (inside the sphere) and radius of sphere ‘R’ is
Two charges $+ 5\mu C$ and $+ 10\mu C$ are placed 20 cm apart. The net electric field at the mid-Point between the two charges is
Which of the following is deflected by electric field
As shown in the figure, charges $+ q$ and $- q$ are placed at the vertices $B$and $C$of an isosceles triangle. The potential at the vertex A is
Consider the points lying on a straight line joining two fixed opposite charges. Between the charges there is
A charged particle of mass $5 \times {10^{ - 5}}kg$ is held stationary in space by placing it in an electric field of strength ${10^7}N{C^{ - 1}}$ directed vertically downwards. The charge on the particle is
Three charges $Q,\, + q$ and $+ q$ are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to

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