EASY
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A metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is

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Important Questions on Electrostatics

EASY
In a certain region of space with volume 0.2 m3, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is:
MEDIUM

The figure gives the electric potential V as a function of distance through four regions on x-axis. Which of the following is true for the magnitude of the electric field E in these regions?

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MEDIUM
The electric potential V at any point (x, y, z) in space is given by V=4z2 volt, where x,y,z are all in metre. The electric field at that point (1m,0,2m) in Vm-1 is
MEDIUM

As shown in the figure below, a point charge q moves from point P to a point S traversing a path PQRS in a uniform E→. The electric field is directed along a direction parallel to x-axis. The coordinates of, P,Q,R and S are a,b,02a,0,0a,-b,0 and 0,0,0 respectively. What is the work done by the field in the process?

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EASY
The electric potential at a point x,y in the x-y plane is given by

V=-Kxy

The electric field intensity at a distance r from the origin varies as
EASY

Figure shows three points A,B and C in a region of uniform electric Field E→. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following hold good? (VA,VB and VC represent the electric potential at points A, B and C respectively )

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EASY
Two metal plates are separated by 2cm. The potentials of the plates are -10 V and +30 V. The electric field between the two plates is:
MEDIUM
An electric field E→=30x2i^ exists in space. Then, the potential difference VA-VO, where VO is the potential at the origin and VA is the potential at x=2 m, is given by
EASY
Assume that an electric field E → = 3 0 x⁡ 2 i⁡ ^  exists in space. Then the potential difference V A - V O  ,  where VO is the potential at the origin and VA the potential at x = 2 m is :
MEDIUM
The electric field in a region is given by E→=Ax+B i^ , where E is in NC-1 and x is in metres. The values of constants are A=20 SI unit and B=10 SI unit. If the potential at x=1 is V1 and that at x=-5 is V2, then V1-V2 is
MEDIUM

An imaginary equilateral triangle ABC of side length 2 m is placed in a uniform electric field E→=10 N C-1 as shown. Then. VA-VB=

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MEDIUM
There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between the limits 589.0 V to  589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60° with the direction of the field?
EASY
A Van de Graff generator has a spherical metal shell as an electrode which is at a potential 15×106 V. If the dielectric strength of the surrounding medium is 5×107Vm-1 then the diameter of the shell is
MEDIUM
An electric field E→=2i^+3j^N/C exists in space. The potential difference VP-VQ between two points P and Q whose position vectors r→P=i^+2j^ and r→Q=2i^+j^+k^ is
EASY

An electron is placed on X-axis where the electric potential depends on x as shown in figures (the potential does not depend on y and z ). What is the electric force on the electron?

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HARD

In the given figure, a battery of emf E is connected across a conductor PQ of length l and different area of cross-sections having radii r1 and r2r2<r1.

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Choose the correct option as one moves from P to Q.

EASY
A uniform electric field is prevailing in X- direction in certain region. The co-ordinates of points P, Q, and R are (0, 0),(2, 0) and (0, 2) respectively. Which of the following alternatives is true for the potentials at these points?
MEDIUM
In a region the potential is represented by Vx, y, z=6x-8xy-8y+6yz, where V is in volts and x, y, z, are in meters. The electric force experienced by a charge of 2 coulombs situated at point 1, 1, 1 is:
HARD
Some equipotential surfaces are shown. The electric field at any point is

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EASY
An electric field E→=25 i^+30 j^ N C-1 exists in a region of space. If the potential at the origin is taken to be zero then the potential at x=2 m, y=2 m is: