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

L-R circuit and mutual inductance

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 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

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.

Two concentric coplanar circular loops of radii r_(1) and r_(2) carry currents of respectively i_(1) and i_(2) in opposite direction (one clockwise and the other anticlockwise). The magnetic induction at the centre of the loops is half that due to i_(1) alone at the centre. if r_(2)=2r_(1) . the value of i_(2)//i_(1) is

Two concentric spherical conducting shells of radii R and 2R are carrying charges q and 2q, respectively. Both are now connected by a conducting wire. Find the change in electric potential (inV) on the outer shell.

There are two concentric hollow conducting spherical shells of radii r and R ( R gt r) . The charge on the outer shell is Q. What charge should be given to the inner shell, so that the potential at a point P , at a distance 2R from the common centre is zero ?

There is a the system of two concentric loops of radii r and R (R gt gt r) . Find the mutual inductance of the system . If the loops have currents of same magnitude i_(0) lgnore the effect of self inductance .

O is the centre of two coplanar concentric circular conductors, A and B, of radii r and R respectively as shown in the figure. Here, r lt lt lt R . The mutual inductance of the system of the conductors can be given by