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Two concentric coplanar circular conducting loops have radii R and r(R>>r) .Their mutual inductance is proportional to

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L-R circuit and mutual inductance

Two concentric spherical conducting shells of radii r and R (r lt R ) carry charges q and Q respectively . The two shells are now connected by a conducting wire. The final charge on the inner shell is

Knowledge Check

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

    A
    `(mu_(0)n_(1)n_(2)pir^(2))/(l)`
    B
    `(mu_(0)n_(1)n_(2)l^(2))/(2r)`
    C
    `(mu_(0)n_(2)^(2)l^(2))/(2r)`
    D
    `(mu_(0)n_(1)^(2)l)/(2r)`
  • Assertion Two concentric conducting rings of different radii are placed in space. The mutual inductance of both the rings is maximum, if the rings are coplanar. Reason For two co-axial conducting rings of different radii, the magnitude of magnetic flux in one ring due to current in other ring is maximum when both rings are coplanar.

    A
    If both Assertion and Reason are corrent and Reason is the corrent explanation of Assertion.
    B
    If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
    C
    If Assertion is true but Reason is false.
    D
    If Assertion is false but Reason is ture.
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