Consider two spheres of the same radius R having uniformly distributed volume charge density of same magnitude but opposite sign `(+rho` and `-rho)` the spheres overlap such that the vector joining the centre of the negative sphere to that of the positive sphere is `vecd`. `(d lt lt R)`. Find magnitude of electric field at a point outside the spheres at a distance r in a direction making an angle `theta` with `vecd`. Distance r is measure with respect to the mid point of the line joining the centers of the two spheres.
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Short electric dipole of dipole moment P is placed at the centre of a ring of radius R having charge Q uniformly distributed on its circumference. The
Correct Answer - `(PQ)/(4pi in_(0)R^(3))`
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Calculate the electric dipole moment of a system comprising of a charge + q distributed uniformly on a semicircular arc or radius R and a point charge
Correct Answer - `P=(2Rq)/(pi)`
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There is a hemispherical shell having charge Q uniformly distributed on its surface. Radius of the shell is R. Find electric potential and field at th
Correct Answer - `E=(q)/(8pi in_(0)R^(2));(q)/(4pi in_(0)R)`
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A solid sphere of radius R has total charge Q. The charge is distributed in spherically symmetric manner in the sphere. The charge density is zero at
Correct Answer - (a). `rho(r)=(Q)/(piR^(4))r` (b) `(Qr_(1)^(2))/(4pi in_(0)R^(4))`
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A ball of radius R has a uniformly distributed charge Q. The surrounding space of the ball is filled with a volume charge density `rho=(b)/(r)` , wher
Correct Answer - (a). `Q=2pibR^(2)` (b). `E=(b)/(2epsilon_(0))`
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Consider a uniformly charged spherical shell of radius R having charge Q charge Q can be through to be made up of number of point charges `q_(1),q_(2)
Correct Answer - (a). `(Q^(2))/(8 pi in_(0)R)` (b). Same as in (a)
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A charge +Q is uniformly distributed over a thin ring of a radius R. Find the velocity of a negative point charge -Q at the moment it passes through t
Correct Answer - `v=sqrt(1/(4piepsi_0)(2Q^2)/(Rm)`
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A spherical shell of radius `R_(1)` with uniformly distributed charge q has a point charge `q_(0)` at its centre. Find the work performed by the elect
Correct Answer - `(q(q_(0)+q//2))/(4piepsilon_(0))((1)/(R_(1))-(1)/(R_(2)))`
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A uniform charge density of `500 nC//m^(3)` is distributed throughout a spherical volume of radius 6.00cm .Consider a cubical Gussian surface with its
Correct Answer - `(a) 3.62N.m^(2)//C (b)51.1N.m^(2)//C`
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A non-conducting sphere ofradius R has a positive charge which is distributed over its volume with density `rho= rho_(0)(1- (x)/(R))` per unit volume,
Correct Answer - `[(pirho_(0)^(2)R^(5))/(72 in_(0)) , (13pirho_(0)^(2)R^(5))/(630 in_(0))]`
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