Home
Class 12
PHYSICS
A small square loop of wire of side l is...

A small square loop of wire of side l is placed inside a large square loop of wire of side `L(gtgtl)`. The loops aer coplanar and their centres coincide. What is the mutual inductance of the system?

A

`l//L`

B

`l^(2)//L`

C

`L//l`

D

`L^(2)//l`

Text Solution

Verified by Experts

The correct Answer is:
B
Magnetic field produced by a current `I` in a larger square loop at its centre,
`B prop (I)/(L) rArr B = K(I)/(L)`
`:.` Magnetic flux linked with the smaller loop,
`phi = BS rArr phi = (K (I)/(L)) (l^(2))`
Therefore, the mutual inductance `M = (phi)/(I) = K(l^(2))/(L)` or `M prop (l^(2))/(L)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Archives (multiple Correct)|3 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Archives (linked Compreshension)|8 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Archives (fills In The Blanks)|3 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer type|2 Videos

Similar Questions

Explore conceptually related problems

A small square loop of wire of side l is placed inside a large square loop of wire of side L(Lgtgtl) . The loops are co-planer and their centres coincide. The mutual inductance of the system is proportional to

A circular loop of radius r is placed at the center of current carrying conducting square loop of side a. If both loops are coplanar and a >> r, then the mutual inductance between the loops will be

Knowledge Check

  • A small square loop of wire of side l is placed inside a large square loop of wire of side L (L gt gt l) . The loops are coplanar and their centre coincide. What is the mutual inductance of the system ?

    A
    `2sqrt2(mu_(0))/(pi)(l^(2))/(L)`
    B
    `8sqrt2(mu_(0))/(pi)(l^(2))/(L)`
    C
    `2sqrt2(mu_(0))/(2pi)(l^(2))/(L)`
    D
    `2sqrt2(mu_(0)L^(2))/(pil)`

    • Similar Questions

    Explore conceptually related problems

    A square conducting loop of side L is situated in gravity free space. A small conducting circular loop of redius r (rlt lt L) is placed at the center of the square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is

    A square loop of sides L is placed at centre of a circular loop of radius r (r << L) such that they are coplanar, then mutual inductance between both loop is

    A square conducting loop of side L is situated in gravity free space. A small conducting circular loop of radius r (rlt lt L) is placed at the center of the square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is

    A small square loop of n_(1) turns and side l is placed at the centre of a large coplanar, circular loop of radius r and n_(2) tuns. The mutual inductacne of the combination is

    An infinitely long wire is placed near a square loop as shown in figure. Choose the correct options.

    A rectangular loop of sides 'a' and 'b' is placed in xy plane. A very long wire is also placed in xy plane such that side of length 'a' of the loop is parallel to the wire. The distance between the wire and the nearest edge of the loop is 'd'. The mutual inductance of this system is proportional to :

    A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I=I_(0)cos(omegat) . The emf induced in the smaller inner loop is nearly ?

    Home
    Profile