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Figure below shows regular hexagon, with different charges placed at the vertices. In which of the following cases is the electric field at the centre zero?

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Important Questions on Electrostatics

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Electric field at the centre 'O' of a semicircle of radius 'a' having linear charge density λ, is given as:

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For the given figure the direction of electric field at A will be:

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-1×10-6 C charge is on a drop of water having a mass 10-6 kg. What electric field should be applied on the drop so that it is in the balanced condition with its weight?
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Two small identical spheres, each of mass 1 g and carrying the same charge 10-9 C are suspended by threads of equal lengths. If the distance between the centres of the spheres is 0.3 cm in equilibrium then the inclination of the thread with the vertical will be:
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Two infinitely long parallel wires having linear charge densities λ1, and λ2 respectively are placed at a distance R metre. The force per length on either wire will be k=14πε0
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A solid sphere of radius R, is charged uniformly with a total charge Q. Then the correct expression for electric field is (r=distance from centre):
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A sphere of radius R and charge Q is placed inside a concentric imaginary sphere of radius 2R. The flux associated with the imaginary sphere is:
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A nonconducting solid sphere of radius R is charged uniformly. The magnitude of the electric field due to the sphere at a distance r from its centre :

(a) increases as r increases, for r<R

(b) decreases as r increases, for 0<r< 

(c) decreases as r increases, for R<r< 

(d) is discontinuous at r=R