Home
Class 11
PHYSICS
Two concentric circular coil,s one of sm...

Two concentric circular coil,s one of small radius `r_(1)` and the other of large radius `r_(2)`, such that `r_(1) lt lt r_(2)`, are placed co-axially with centres coinciding. Obtain the mutual inductance of the arrangement.

A

`R_(1)//R_(2)`

B

`R_(2)//R_(1)`

C

`R_(1)^(2)//R_(2)`

D

`R_(2)^(2)//R_(1)`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC CHARGE AND FIELDS

    DISHA|Exercise Physics|42 Videos
  • ELECTROMAGNETIC WAVES

    DISHA|Exercise PHYSICS|43 Videos

Similar Questions

Explore conceptually related problems

Two concentric circular coils, one of small radius r and the other of large radius R, such that R >> T, are placed coaxially with centres coinciding. Obtain the mutual inductance of the arrangement.

Two circular coils, one of smaller radius r_(1) and the other of very large radius r_(2) are placed co-axially with centres coinciding. Obtain the mutual inductance of the arrangement.

Knowledge Check

  • Two concentric circular coils, one of small radius r_1 and the other of large radius r_2 such that r_1ltltr_2 are placed coaxially with centres coinciding. Obtain the mutual inductance of the arrangement.

    A
    `(mu_0pitr_1^2)/(2r_2)`
    B
    `(mu_0pitr_2^2)/(2r_1)`
    C
    `(mu_0pitr_2^2)/(r_1)`
    D
    `(mu_0pitr_1^2)/(r_2)`
  • 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

    A
    `(pi mu_(0)r^(2))/(2R)`
    B
    `(pi mu_(0)r^(2))/(4R)`
    C
    `(pi mu_(0)R^(2))/(4r)`
    D
    `(pi mu_(0)R^(2))/(2r)`
  • A soap bubble of radius r_(1) is placed on another soap bubble of radius r_(2)(r_(1) lt r_(2)) . The radius R of the soapy film separating the two bubbles is :

    A
    `r_(1) + r_(2)`
    B
    `sqrt(r_(1)^(2) + r_(2)^(2))`
    C
    `(r_(1)^(3) + r_(2)^(3))`
    D
    `(r_(2)r_(1))/(r_(2) - r_(1))`
  • Similar Questions

    Explore conceptually related problems

    (a) Explain the meaning of the term mutual inductance. Consider two concentric circular coils, one radius r_(1) and the other of radius r_(2)(r_(1) lt r_(2)) placed coaxially with centres coinciding with each other. Obtain the expression for the mutual inductance of the arrangement. (b) A rectangular coil of area A , having number of turns N is rotated at 'f' revoluation per second in a uniform magnetic field B , the field being perpendicular to the coil. Prove that maximum emf induced in the coil is 2pifNBA .

    Two concentric circular coils of radius r and R are placed coaxially with centres coinciding If R gt gt r then calculate the mutual inductance the coils.

    Two circular loops of radius r and R ( R gt gt r ) are placed coaxially with their centres coinciding. What will be the mutual inductance for the pair? If one of the coils is rotated through 90^(@) angle, then what will be the new mutual inductance?

    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 .

    In co-axial concentric coils of radius r_(1) and r_(2) such that r_(1) lt lt r_(2) Fig. find direction of induced current when K is (i) pressed (ii) released.