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 dipole moment vector is along the axis of the ring. Find force on the dipole due to the ring.
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A charge `Q` is spread uniformly over an insulated ring of radius `R`.What is the magnetic moment of the ring if it is rotated with an angluar velocit
Correct Answer - A::B `i=Qf=(Qomega)/(2pi)` `M=ixxpiR^(2)=(QomegaR^(2))/2`
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A point charge `q_(0)` is placed at the centre of uniformly charges ring of total charge Q and radius R. If the point charge is slightly displaced wit
Only electric force is acting on `q_(0)` `:. W_(el)=DeltaK" "=1/2 mv^(2)-0" "implies" "`Now `W_(el)")"_(c rarr oo) =q_(0) V_(c) =q_(0) (KQ)/R`. `:. (Kq_(0)Q)/R=1/2 mv^(2)" "implies" "v=sqrt((2Kq_(0)Q)/(mR))`
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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 short electric dipole has dipole moment p. Find the distance of farthest point from the dipole where (a) potential due to the dipole is `V_0` (b) El
Correct Answer - (a). `sqrt((KP)/(V_(0)))` (b). `((2KP)/(E_(0)))^(1//3)` where `K=(1)/(4pi in_(0))`
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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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A ring of dielectric material, with a total charge +q distributed uniformly over its surface, rotates with angular speed `omega.` Find the magnetic mo
Correct Answer - `(1)/(2)qwr^(2),)(q)/(2m)`
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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 ring of radius R carries a charge q uniformly distribited over it. A long thin wire carrying charge `lambda`per unit length of it is held along its
Correct Answer - `F=(dlambda)/(4piepsilon_(0)R)`
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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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