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The variation of potential with distance r from a fixed point is shown in the figure.

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The electric force acting on a point charge of 2 C placed at the origin will be

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Important Questions on Electrostatics

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The electric potential V as a function of distance x (in metre) is given by V=5x2+10x9 volt. The value of the electric field at x=1 m would be

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A uniform electric field having a magnitude E0, directed along positive x-axis exists. If the electric potential V is zero at x=0, then its value at x=+x will be
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If E is  the electric field and V, is the electric potential at a point. Which condition is correct.
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The electric field in a region is directed outward and proportional to the distance r from the origin. Taking the electric potential at the origin to be zero, the electric potential at a distance r.
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A non-conducting ring of radius 0.5 m carries a total charge of 1.11 × 10-10 C distributed non-uniformly on its circumference producing an electric field E everywhere in space. The value of the line integral l=l=0-E.dl      (l=0 being centre of the ring) in volts is (Approximately)

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Due to an electric dipole shown in figure, the electric field intensity is parallel to dipole axis

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An electric dipole of dipole moment p is placed at the origin along the x-axis. What is the angle made by the electric field vector, due to the dipole, with positive  x-axis at a point P. The position vector of point P makes an angle θ with positive x-axis,  ( tanα =12tanθ)
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An electric dipole consists of two opposite charges each of magnitude 1.0 μC, separated by a distance 2.0 cm.  The dipole is placed in an external electric field of 1.0 × 105 N C-1. The maximum torque on the dipole is