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In which region magnitude of x-component of electric field is maximum, if potential Vversus distance X, graph is as shown?

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Important Questions on Electrostatics

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
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:
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:
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
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
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 rP=i^+2j^ and rQ=2i^+j^+k^ 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
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
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:
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

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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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?
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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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:
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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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MEDIUM
Two positive charges Q and 4Q are placed at points A and B respectively, where B is at a distance d units to the right of A. The total electric potential due to these charges is minimum at P on the line through A and B. What is (are) the distance (s) of P from A ?
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
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
HARD
Some equipotential surfaces are shown. The electric field at any point is

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