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, wherex is distance from the centre. If dielectric constant of material of the sphere is k= I, calculate energy stored in surrounding space and total self energy of the sphere:
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During the discharge of a lead storage battery the density of `H_(2)SO_(4)` talls from `rho_(1)g//cc` to `rho_(2)g//C`, `H_(2)SO_(4)` of density of `r
Mass of acid solution before discharge of lead storage battery `(LSB)=(Vxx10^(3)xxrho_(1))g` `=(1000xVrho_(1))g` Mass of `H_(2)SO_(4)` before discharge of `LSB=(1000xxVrho_(1)xx(X)/(100))g=(10xxVrho_(1)X)g` Net reaction during discharging: `Pb+PbO_(2)+2H_(2)SO_(4)toPbSO_(4)+2H_(2)O` From the reaction, it is evident...
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A solid non conducting sphere of radius R and uniform volume charge density `rho` has its centre at origin. Find out electric field intensity in vecto
(i) At `(R//2, 0, 0)` : Distance of point from centre `=sqrt((R//2)^(2)+0^(2)+0^(2))=R//2 lt R`, so point lies inside the sphere, so `vec(E)=(p vec(r))/(3 epsi_(0))=rho/(3 epsi_(0)) [R/2 hat(i)]` (ii) At `(R/sqrt(2),...
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A solid non conducting sphere of radius R and uniform volume density `rho` has centre at origin. Find out electric field intensity in vector form at f
For uniformly charged non-conducting sphere, electric field inside the sphere : `vec(E)=k (Qvec(r))/R^(3)=(rho vec(r))/(3 epsi_(0)) ("for "r lt R)` and electric field outside the sphere `vec(E)_(0) =(KQ)/r^(2). hat(r) =1/(4piepsi_(0)). (rho...
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A Sphere of radius `R_0` carries a volume charge density proportional to the distance (x) from the origin, `rho=alphax` where `alpha` is a positive co
Correct Answer - (a). `pialphaR_(0)^(4)` (b). `(R_(0))/((2)^(1//4))`
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A conducting sphere of radius R carries a charge Q. It is enclosed by another concentric spherical shell of radius 2R. Charge from the inner sphere is
Correct Answer - `-(Q^(2))/(16pi 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 two spheres of the same radius R having uniformly distributed volume charge density of same magnitude but opposite sign `(+rho` and `-rho)` t
Correct Answer - `(rhoR^(3)d)/(3epsi_(0)r^(3))sqrt(3cos^(2)theta+1)`
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Electric charge +q is iniformaly distributed over the entire volume of a sphere of radius r. Calculate the magnetic moment of the sphere if it spins a
Correct Answer - `(1)/(5)qwr^(2),(q)/(2m)`
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An insulated sphere of radius 10 cm has a positive charge of 20 nC and another of radius 5 cm has a positive charge of 15 nC. If the two are connected
Correct Answer - A charge of `3.33muC` will flow from 5-cm sphere to 10-cm sphere, 2100V,
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