Home
Class 12
PHYSICS
Find the mutual inductance between two c...

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

Text Solution

Verified by Experts

Let a current `i` flows through coil of radius R. The field proeduced at the centre of the other coil is
`B=(mu_(0)ixx2xxpiR^(2))/(4pi(R^(2)+x^(2))^(3//2))`
As R gtgt r. this field can be assumed to be acting
on the entire area of the smaller loop.
Thus `phi=BxxA`
i.e., `phi=(mu_(0)ixx2xxpiR^(2))/(4pi(R^(2)+x^(2))^(3//3))xxpir^(2)`
as `M=(phi)/(i)`
`rArr" "M=(mu_(0)piR^(2)r^(2))/(2(R^(2)+x^(2))^(3//2))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    AAKASH INSTITUTE|Exercise Try Yourself|41 Videos

  • ELECTROMAGNETIC INDUCTION

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|46 Videos

  • ELECTRIC CHARGES AND FIELDS

    AAKASH INSTITUTE|Exercise SECTION -J(Aakash Challengers Questions)|5 Videos

  • ELECTROMAGNETIC WAVES

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D Assertion-Reason Type Questions|25 Videos

Similar Questions

Explore conceptually related problems

Find the mutual inductance between two rectangular loops, shown in the figure.

Find the mutual inductance between the circular coil and the loop shown in figure.

Knowledge Check

  • The approximate formula expressing the formula of mutual inductance of two coaxial loops of the same redius a when their centers are separated by a distance l with l gt gt a is

    A
    `(1)/(2) (mu_(0)pia^(4))/(l^(3))`
    B
    `(1)/(2) (mu_(0)a^(4))/(l^(2))`
    C
    `(mu_(0))/(4pi) (pia^(4))/(l^(2))`
    D
    `(mu_(0))/(pi) (a^(4))/(l^(3))`

  • A: The mutual Induction between the two coils infinitely apart is zero. R: If the mutual induction between the two coils is zero, it means that their self inductances are also zero.

    A
    If both Assertion & Reason are true and the reason is the correct explanation of the assertion.
    B
    If both Assertion & Reason are true but the reason is not the correct explanation of the assertion.
    C
    If Assertion is true statement but Reason is false.
    D
    If both Assertion and Reason are false statements.

    • Similar Questions

    Explore conceptually related problems

    L-R circuit and mutual inductance

    Find the appoximate formula expressing the mutual inductance of two thin coaxial loops of the same radius a if their centres are separated by a distance l , with l gt gt a

    Find the mutual inductance between the straight wire and the square loop of figure.

    Find the temperature distribution in the space between two coaxial cylinders of radii R_1 and R_2 filled with a uniform heat conducting substance if the temperatures of the cylinders are constant and are equal to T_1 and T_2 respectively.

    Find out speed of particles when separation between them is r.

    Define mutual inductance between two long coaxial solenoids. Find out the expression for the mutual of inner solenoid of length 1 having the radius r_(1) and the number of turns n_(1) per unit length due to the second other solenoid of same length and n_(2) number of turns per unit length.

    Home
    Profile