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In the electric field of a point charge q, a certain charge is carried from point A to B, C, D and E. Then the work done
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Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities σ, – σ and σ respectively. If `V_A , V_B` and `V_C` denote the Potentials of the three shells, then for c = a + b, we
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The electric Potential at a point P (x, y, z) is given by `V = –x^2y – xz^3 + 4` The electric field `vecE` at that point is
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Three particles, each having a charge of 10µc are placed at the corners of an equilateral triangle of side 10 cm. The electrostatic potential energy of the system is (Given `1/(4piepsilon_o) = 9 × 10^9 N.m^2' /'c^2`)
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Four equal charges Q are placed at the four corners of a square of each side is ‘a’. Workdone in removing a charge - Q from its centre to infinity is
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Two charged spheres of radii R1 and R2 having equal surface charge density. The ratio of their potential is
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Two equal charges q are placed at a distance of 2a and a third charge -2q is placed at the midpoint. The potential energy of the system is
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Two point charges 100µc and 5µc are placed at points A and B respectively with AB = 40 cm. The work done by external force in displacing the charge 5µc from B to C where BC = 30 cm, angle `ABC = pi/ 2` and `1/(4piepsilon_o)=9xx 10^9 Nm^2' /'c^2`
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The electric potential V is given as a function of distance x (metre) by `V = (5x ^2 + 10x – 9)` volt. Value of electric field at `x = 1` is
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A sphere of radius 1cm has potential of 8000 v, then energy density near its surfacewill be
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If a charged spherical conductor of radius 10cm has potential v at a point distant 5 cmfrom its centre, then the potential at a point distant 15cm from the centre will be
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Electric charges of `+10µc, 5µc, –3µc and 8µc` are placed at the corners of a square of side `sqrt2`m the potential at the centre of the square is
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Two positive point charges of 12µc and 8µc are 10 cm apart each other. The work done in bringing them 4cm closer is
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The displacement of a charge Q in the electric field `vecE = e_1hat i + e_2 hatj + e_3 hatk` is `vecr = ahati + bhat j` . The work done is
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If an electron moves from rest from a point at which potential is 50 volt to another point at which potential is 70 volt, then its kinetic energy in the final state will be
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Three charges `Q, + q and + q` are placed at the verticles of a right-angled triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to
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Two electric charges 12µc and –6µc are placed 20cm apart in air. There will be a point P on the line joining these charges and outside the region between them, at which the electric potential is zero. The distance of P from –6µc charge is
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In the rectangle, shown below, the two corners have charges `q_1 = –5µc` and `q_2 = +2.0µc` . The work done in moving a charge 3µc from B to A is (`take 1/(4piepsilon_o= 10^(10) Nm^2 '/'c^2`)
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4 Points charges each +q is placed on the circumference of a circle of diameter 2d in such a way that they form a square. The potential at the centre is
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Three identical charges each of 2µc are placed at the vertices of a triangle ABC as shown in the figure. If AB + AC = 12 cm and AB . AC = `32cm^2` , the potential energy of the charge at A is
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