Two identical charged rings of charge Q=1C and radius R=0.1m are separated by a distance `sqrt(3)R` and are fixed.A point charge of charge `q=1.0times10^(-9)C` and mass m=2kg is moved by external agent from the centre of left ring to the centre of right ring.Find the work done by an external agent in joule.

A ring of mass m_(1) and radius R is fixed in space at some location. An external agent brings a point mass m_(2) from infinity to centre of the ring. Work done by the external agent will be

A point charge of charge -q and mass m is released with negligible speed from a distance sqrt(3) R on the axis of a fixed uniformly charged ring of charge Q and radius R. Find out its velocity when it reaches it reaches at the centre of the ring.

Two identical coaxial rings each of radius R are separated by a distance of sqrt3R . They are uniformly charged with charges +Q and -Q respectively. The minimum kinetic energy with which a charged particle (charge +q ) should be projected from the centre of the negatively charged ring along the axis of the rings such that it reaches the centre of the positively charged ring is

Two identical rings P and Q of radius 0.1 m are mounted coaxially at a distance 0.5 m apart. The charges on the two rings are 2 mu C and 4 mu C , respectively. The work done in transferring a charge of 5 mu C from the center of P to that of Q is.

There is a ball of radius r having uniformly distributed volume charge Q on it and there is a spherical shell of radius r having uniformly distributed surface charge Q on it. The two spheres are far apart. (a) A point charge q is moved slowly from the centre of the shell (through a small hole in it.) to the centre of the ball. Find work done by the external agent in the process. (b) The two spheres are brought closer so that their centers are separated by 4r. Now calculate the amount of work needed in slowly moving a point charge q from the centre of the shell to the centre of the ball. Assume that charge on one ball does not alter the charge distribution of the other. Does your answers in (a) and (b) differ? Why?

Two identical thin ring each of radius R are co-axially placed at a distance R . If the ring have a uniform mass distribution and each has mass m_(1) and m_(2) respectively, then the work done in moving a mass m from the centre of one ring to that of the other is :

Two thin wire rings each having a radius R are placed at a distance d apart with their axes coiciding. The charges on the two rings are +q and -q . The potential difference between the centres of the two rings is

A point particle of mass m is released from a distance sqrt(3)R along the axis of a fixed ring of mass M and radius R as shown in figure. Find the speed of particle as it passes through the centre of the ring.

Two identical thin rings each of radius R are coaxially placed at a distance R. If the rings have a uniform mass distribution and each has masses 2m and 4m respectively, then the work done in moving a mass m from centre of one ring to that of the other is

Two identical thin ring, each of radius R meters, are coaxially placed a distance R metres apart. If Q_1 coulomb, and Q_2 coulomb, are repectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is