Home
Class 12
PHYSICS
Two identical thin ring, each of radius ...

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

A

zero

B

` q(Q_1-Q_2) (sqrt2-1)//(sqrt2.4pi varepsilon_0 R)`

C

`qsqrt 2 9Q_1 +q_2 )//4 pi varepsilon_0 R_)`

D

` q (Q_1 -Q_2) (sqrt 2+1) //(sqrt2.4 pi varepsilon_2R)`

Text Solution

Verified by Experts

The correct Answer is:
B
` V_A = (KQ_1)/R + (KQ_2)/(sqrt 2R)` and

` V_B = (KQ_2)/R + (KQ_1)/(sqrt 2R)`
`W+_(AB) =q (V_(B) -V_(B))q(K)/(R)[ Q_(2) (1 -(1)/(sqrt2))-Q_(2) (1-(1)/(sqrt2))]`
`W_(AB) =(q)/(4pi in_(0)R) ((sqrt2-1))/(sqrt2) (Q-Q_(2))=(q(Q_(2)-Q_(1))(sqrt2-1))/(sqrt24piin_(0)R)`
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 identicaln thin rings each of radius 10 cm carrying charges 10 C and 5 C are coaxially placed at a distance 10 cm apart. The work done in moving a charge q from the centre of the first ring to that of the second 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.

Potential on the axis of ring of radius 3R and at distance 4R from centre of ring is (charge on the ring is Q )

Charges q is uniformly distributed over a thin half ring of radius R . The electric field at the centre of the ring is

A positive charge Q is uniformly distrubuted along a circular ring of radius R .a small test chage q is placed at the centre of the ring .The

A charge Q is uniformly distributed only on the fourths portion of a ring of radius R . The elctric potential at centre of ring is

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