Consider two coupled circuits, having self-inductances  and , that carry nonzero currents  and , respectively. The mutual inductance between the circuits is  with unity coupling coefficient. The stored magnetic energy of the coupled circuits is minimum at which of the following value(s) of  ?

A conducting square loop of side length 1 m is placed at a distance of 1 m from a long straight wire carrying a current I = 2 A as shown below. The mutual inductance, in nH (rounded off to 2 decimal places), between the conducting loop and the long wire is __________.

The flux linkage  and current (i) relation for an electromagnetic system is . When  I = 2A and g (air-gap length) = 10 cm, the magnitude of mechanical force on the moving part, in N, is ________________.

A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of
 . The inductance of the coil corresponding to a magnetizing current of 3A will be

(Given that)

The inductance of a long solenoid of length 1000 mm wound uniformly with 3000 turns on a cylindrical paper tube of 60mm diameter is          

Two infinite strips of width w m in x direction as shown in Figure, are carrying forward and return currents of +I and –I in the z direction. The strips are separated by a distance of x m. The inductance per unit length of the configuration is measured to be L H/m. If the distance of separation between the strips is now reduced to , the inductance per unit length of the configuration

The energy stored in the magnetic field of solenoid 30 cm long and 3 cm diameter wound with 1000 turns of wire carrying a current of 10A is

The inductance of a coil is proportional to the Cube of the number of turns, all over parameters remaining the same. (True=1, False=0)