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Two point electric charges of value q and 2q are kept at a distance d apart from each other in air. A third charge Q is to be kept along the same line in such a way that the net force acting on q and 2q is zero. Calculate the position of charge Q in terms of q and
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(a) What is an equi-potential surface? Show that the electric field is always directed perpendicular to an equi-potential surface. (b) Derive an expression for the potential at a point along the axial line of a short electric
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Why does the electric field inside a dielectric decrease when it is placed in an external electric
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What is the work done in moving a 2 µ C point change from corner A to corner B of a square ABCD when a 10 µ C charge exist at the centre of the
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Show mathematically that the potential at a point on the equatorial line of an electric dipole is
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A parallel plate capacitor with air between the plates has a capacitance of 8 pF `(1pF = 10^(-12) F)`. What will be the capacitance if the distance between the plates is reduced by half and the space between them is filled with a substance of dielectric constant
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Two dielectric slabs of dielectric constant K1 and K2 are filled in between the two plates, each of area A, of the parallel plate capacitor as shown in the figure. Find the net capacitance of the capacitor? Area of each plate =
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Prove that the energy stored in a parallel plate capaSScitor is given by ½ `CV^2`
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State Gauss’s Theorem in electrostatics? Using this theorem define an expression for the field intensity due to an infinite plane sheet of change of charge density σ C/`m^2`
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(a) Define dielectric constant in terms of the capacitance of a capacitor? On what factor does the capacitance of a parallel plate capacitor with dielectric depend?(b) Find the ratio of the potential differences that must be applied across the(1) parallel(2) Series combination of two identical capacitors so that the energy stored in the two cases becomes the
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Force of attraction between two point electric charges placed at a distance d in a medium is F. What distance apart should these be kept in the same medium, so that force between them becomes
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The distance of the field point on the equatorial plane of a small electric dipole is halved. By what factor will the electric filed
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Draw one equipotential surfaces (1) Due to uniform electric field (2) For a point charge (q <
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If the amount of electric flux entering and leaving a closed surface are `phi_1` and `phi_2` respectively. What is the electric charge inside the
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Derive an expression for the total work done in rotating an electric dipole through an angle θ in a uniform electric
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If C1 = 3pF and C2 = 2pF, calculate the equivalent capacitance of the given network between points A &
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Prove that energy stored per unit volume in a capacitor is given by `1/2∈_o E^2` , where E is the electric field of the
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(a) An air filled capacitor is given a charge of 2 µ C raising its potential to 200 V. If on inserting a dielectric medium, its potential falls to 50 V, what is the dielectric constant of the medium?(b) A conducting stab of thickness‘t’ is introduced without touching between the plates of a parallel plate capacitor separated by a distance d (t < d). Derive an expression for the capacitance of a
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The Plates of a charged capacitor are connected by a voltmeter. If the plates of the capacitor are moved further apart. What will be the effect on the reading of the
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What happens to the capacitance of a capacitor when a dielectric slab is placed between its
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