Home
Class 12
PHYSICS
A solenoid S1 is placed inside another s...

A solenoid `S_1` is placed inside another solenoid `S_2` as shown in The radii of he inner and the outer solenoids are `r_1` and `r_2` respectively and the numbers of turns per unit length are `n_1` and `n_2` respectively. Consider a length I of each solenoid. Calculate the mutual inductance between them.

Text Solution

Verified by Experts

Suppose a current I is passed through the inner solenoid `S_1` . A magnetic field `B= mu_0 n_(1)i` is produced inside `S_(1)` whereas the feild outside it is zero. The flux through each turn of `S_(2)` is
`Bipir_1^2 = mu_(0)n_(1)i pi r_(1)^(2)`
The total flux through all the turns in a length l of `S_2` is `Phi = (mu_0 n_1 ipir_1 ^2)n_2l =(mu_0 n_1 n_2 pir_1 ^2l)i`
Thus, `M =mu_0 n_1 n_2 pir_1 ^2l`.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise Worked Out Examples|29 Videos

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise Short Answer|13 Videos

  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Exercises|75 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercises|9 Videos

Similar Questions

Explore conceptually related problems

There are two long co-axial solenoids of same length l. The inner and other coils have redii r_(1) and r_(2) and number of turns per unti length n_(1) and n_(2) respectively .The reatio of mutual inductance to the self - inductance of the inner- coil is :

Find the mutual inductance of two long concentric solenoids for a length I. The area of cross-section of inner solenoid is A and number of turns per unit length are n_(1) and n_(2) .

A solenoid is placed inside another solenoid, the length of both being equal carrying same magnitude of current. The parameters like radius and number of turns are in the ratio 1:2 for the two solenoids. The mutual inductance on each other would be

A very long straight solenoid carries a current i . The cross-sectional area of the solenoid is equal to S , the number of turns per unit length is equal to n . Find the flux of the vector B through the end plane of the solenoid.

A thin solenoid is made of a large number of turns of very thin wire tightly wound in several layers. The radii of innermost and outermost layers are a and b respectively and the length of the solenoid is L (L gt gt a, ) . The total number of turns is N. Calculate the self inductance of the solenoid. Neglect edge effects.