Find the interaction energy of two loops carrying currents `I_(1)` and `I_(2)` if both loops are shaped as circles of radii `a` and `b`, with `a lt lt b`. The loops centres are located at the same point and their planes from an angle `theta` between them.

Find the interaction energy of two loops carrying currents `I_(1)` and

1.	Find the interaction energy of two loops carrying currents `I_(1)` and `I_(2)` if both loops are shaped as circles of radii `a` and `b`, with `a lt lt b`. The loops centres are located at the same point and their planes from an angle `theta` between them.
Answer» We can think of the smaller coil as consituting a magnet of dipole moment, `p_(m) = pi a^(2) I_(1)` Its direction is normal to the loop and makes and angle `theta` with the direction of the magnetic field, due to the bigger loop. This magnetic field is, `B_(2) = (mu_(0) L_(2))/(2b)` The interactiion energy has the magnitude, `\|W\| = (mu_(0) I_(1) I_(2))/(2b) pi a^(2) cos theta` Its sign depends on the sense of the currents.

Discussion

No Comment Found

Related InterviewSolutions

A particle having a charge of `2.0X10^(-8) C` and a mass of `2.0X10^(-10)g` is projected with a speed of `2.0X10^3 ms^(-1)` in a region having a uniform magnetic field of 0.10 T. The velocity is perpendicular to the field. Find the radius of the circle formed by the particle and also the time period.
A particle of mass `m` and charge `q` moves with a constant velocity `v` along the positive `x` direction. It enters a region containing a uniform magnetic field `B` directed along the negative `z` direction, extending from `x = a` to `x = b`. The minimum value of `v` required so that the particle can just enter the region `x gt b` isA. `(qbB)/m`B. `(q(b-a)B)/m`C. `(qzB)/m`D. `(q(b+a)B)/(2m)`
A magentic flux through a statinary loop with a resistance `R` varies during the tiem interval `tau` as `Phi = at (tau - t)`. Find the amount of heat generated in the loop during that time. The inductance of the loop is to be neglected.
A direct current of density `j` flows along a round unifrom staright wire with cross-section radius `R`. Find the magnectic induction vector of this current at the point whose position relative to the axis of the wire is defined by a radius vector `r`. The magentic permeabilility is assumed to be equla to unity thoughhout all the space.
A supercondutig round ring of radius `a` and inductance `L` was located in a unifrom magnetic fied of induction `B`. The ring plane was parallel to the vector `B`, and the current in the ring was equal to zero. Them the ring was turned through `90^(@)` so that its plane became perpendicular to the feild. FInd: (a) the current induced in the ring after the turn, (b) the work perfromed during the turn.
A system consists of two parallel planes carrying currents producing a unifrom magnetic field of induction `B` between the planes. Outside this space there is no magnetic field. Find the magnetic force acting this space there is no magentic field. Find the magnetic force acting per unit area of each plane.
Find the magnetic induction at the point `O` if the wire carrying a current `I = 8.0 A` has the shwon in Fig. The radius of the curved part of the wire is `R = 100 mm`, the linear parts of the wire are very long.
Calculate magnetic induction at point O if the wire carrying a current I has the shape shown in Fig. (The radius of the curved part of the wire is equal to R and linear parts of the wire are very long.)
A circular loop of area `1cm^2` , carrying a current of 10 A , is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field isA. zeroB. `10^(-4) N-m`C. `10^(-2) N-m`D. `1 N-m`
`N = 300` turns of thin wire are uniformly wound on a permanent magnet shaped as a cylinder whose length is equla to `l = 15 cm`. When a current `I = 3.0 A` was passed through the wring the field outside the magnet disappeared. Find the coercive force `H_(e)` of the materail from which the magnet was manufaucured.

Find the interaction energy of two loops carrying currents `I_(1)` and `I_(2)` if both loops are shaped as circles of radii `a` and `b`, with `a lt lt b`. The loops centres are located at the same point and their planes from an angle `theta` between them.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment