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Define the term dipole moment `vecP` of an electric dipole indicating its direction. Write its S.I unit. An electric dipole is placed in a uniform electric field `vecE` . Deduce the expression for the Torque acting on
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(1) The electric field `vecE` due to a point change at any point near to it is defined as: `vecE=Lim vecF/q`where q is the test charge and `vecF` is the force acting on it. What is the significance of lim `qtoo` in this expression?(2) Two charges each `2 xx 10^(-7)` C but opposite in sign forms a system. These charges are located at points A (0,0, -10) cm and B(0,0, +10) cm respectively. What is the total charge and electric dipole moment of the
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(a) Sketch electric lines of force due to (i) isolated positive change (ie q>0) and(ii) isolated negative change ( ie q(b) Two point changes q and –q are placed at a distance 2a apart. Calculate the electric field at a point P situated at a distance r along the perpendicular bisector of the line joining the charges. What is the field when r >>
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Which physical quantity has its S.I unit (1) Cm (2)
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Define one
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The graph shows the variation of voltage V across the plates of two capacitors A and B versus increase of charge Q stored on them. Which of the two capacitors have higher capacitance? Give reason for your answer?
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An electric dipole when held at `30^0` with respect to a uniform electric field of `10^4 N/C` experienced a Torque of `9 x 10^(-26) Nm`. Calculate dipole moment of the
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A sphere of radius `r_1` encloses a change Q. If there is another concentric sphere S2 of radius `r_2 (r_2 > r_1)` and there is no additional change between S1 and S2. Find the ratio of electric flux through S1 and
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Electric charge is uniformly distributed on the surface of a spherical balloon. Show how electric intensity and electric potential vary (a) on the surface (b) inside and (c)
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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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