EASY
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A given charge situated at a certain distance from an electric dipole in the end on position, experiences a force F. If the distance of charge is doubled, the force acting on the charge will be

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Important Questions on Electrostatics

MEDIUM

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

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MEDIUM
A system has two charges qA=2.5×10-7C and qB=-2.5×10-7C located at points A:(0, 0,-15 cm) and B: (0, 0, +15 cm), respectively. What is the magnitude and direction of electric dipole moment of the system?
EASY

Two charges 10 μC and -10 μC are placed at points A and B separated by a distance of 10 cm. Find the electric field at a point P on the perpendicular bisector of AB, at a distance of 12 cm from its mid-point.

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MEDIUM
Charges -q and +q, located at A and B, respectively, constitute an electric dipole. Distance AB=2aO is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where OP=y and y2a. The charge Q experiences an electrostatic force F. If Q is now moved along the equatorial line to P' such that OP'=y3 the force on Q will be close toy32a
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MEDIUM
Two identical electric point dipoles have dipole have dipole moments p1=pi^ and p2=pi^ and are held on the x-axis at distance 'a' from each other. When released, they move along the x-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is 'm', their speed when they are infinitely far apart is :
EASY
An electric dipole is placed at an angle of 30° with an electric field intensity 2×105 N C-1. It experiences a torque equal to 4Nm . The charge on the dipole, if the dipole length is 2cm , is
EASY

A dipole is placed in an electric field as shown. In which direction will it move?

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EASY
The work done in moving a point charge of 10μC through a distance of 3cm along the equatorial axis of an electric dipole is
MEDIUM
The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment p is given by (r>> separation of two charges forming the dipole, ϵ0- permittivity of free space)
HARD

Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their centres at O as shown in the figure. At point C on the axis of dipole A, the resultant electric field is making an angle of 37° with the axis. The ratio of the dipole moment of A and B,p1p2 is:( take sin37°=35

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HARD
An electric dipole has fixed dipole moment p, which makes angle θ with respect to x-axis. When subjected to an electric field E1=Ei^, it experiences a torque T1=τk^. When subjected to another electric field E2= 3 E1j^ it experiences a torque T2=-T1 . The angle θ is:
EASY
Which of the following molecules is a polar molecule?
MEDIUM
An electric dipole is formed by two equal and opposite charges q with separation d . The charges have same mass m. It is kept in a uniform electric field E. If it is slightly rotated from its equilibrium orientation, then its angular frequency ω is:
MEDIUM
Two electric dipoles, A, B with respective dipole moments dA=-4qai^ and dB=-2qai^ are placed on the x -axis with a separation R, as shown in the figure

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The distance from A at which both of them produce the same potential is:
EASY
An electric dipole is kept in non-uniform electric field. It generally experiences
MEDIUM
An electric dipole is kept in a uniform electric field with its axis inclined at some angle to the electric field. It experiences
MEDIUM
A short electric dipole has a dipole moment of 16×109 C m. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis is:
14πε0=9×109 N m2 C-2
EASY
The net electric charge enclosed by a Gaussian surface of dipole is
MEDIUM
An electric dipole of moment p=-i^-3j^+2k^×10-29 C m at the origin 0, 0, 0 . The electric field due to this dipole at r=+i^+3j^+5k^ (note that r·p=0 ) is parallel to:
MEDIUM
A Point dipole p=-p0x^ is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Taken V=0 at infinity)