Home
Class 12
PHYSICS
Figure shows two concentric loops of rad...

Figure shows two concentric loops of radii R and r (R gtgt r). A current `i` is passed through the outer loop. Find the flux linked with inner loop and the mutual inductance of the arrangement.

Text Solution

Verified by Experts

At O, `B= (mu_(0)i)/(2R)`. As `R gt r`
`therefore` We can assume that same field B acts on the total area of inner loop
`phi= B xx A`
`implies phi= (mu_(0)bar i)/(2R) xx pi r^(2)`
`M= (phi)/(i)= (mu_(0)pi r^(2))/(2R)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Figure shows tow concentric coplanar coils with radii a and b (a lt lt b) . A current i=2t flows in the smaller loop. Neglecting self inductance of larger loop (a) Find the mutual inductance of two coils. (b) Find the emf induced in the larger coil (c) If the resistance of the larger loop is R find the current in it as a function of time.

Figure. shows two concentric coplanar coils with radii a and b(alt ltb) . A current I = 2t flows in the smaller loop. Neglecting self-inductance of the larger loop, a. find the mutual inductance of the two coils, b. find the emf induced in the larger coil, c. if the resistance of the larger loop is R , find the current in it as a function of time.

There is a the system of two concentric loops of radii r and R (R gt gt r) . Find the mutual inductance of the system . If the loops have currents of same magnitude i_(0) lgnore the effect of self inductance .

A very small circular loop of radius r is initially coplanar and concentric with a much larger circular loop of radius R(gt gtr) . A constant current i is passed in the larger loop which is kept fixed in space and the small loop is rotated with angular velocity omega about a diameter. The resistance of the small loop is R_(0) and the inductance is negligible. (a) Find the current in the small loop as a function of time. (b) Calculate how much troque must be exerted on the small loop to rotate it.

Two conducting circular loops of radii R_1 and R_2 are placed in the same plane with their centres coincidingt. Find the mutual inductane between them assuming R_2ltltR_1 .

Assertion An induced emf of 2 V is developed in a circular loop, if current in the loop is changed at a rate of 4 As^(-1) .IF 4 A of current is passed through this loop, then flux linked with this coil will be 2 Wb. Reason Flux linked with the coil is |phi|=|(e)/(di//dt)|i

Find the mutual inductance between two coaxial loops of radii R and r (R gtgt r) with separation between the centre x.

Two concentric co - planar circular loops of radius R and r (lt lt R) are placed as shown in the figure. The mutual inductance of the system will be