What is Amperian loop ?

Consider a circular current-carrying loop of radius R in the x-y plane with centre at origin. Consider the line integral (L)=|int_(-L)^(L)vecB*vec(dl)| taken along z-axis. (a) Show that (L) monotonically increases with L. (b) Use an appropriate Amperian loop to show that (oo)=mu_(0)I , where I is the current in the wire. ( c) Verify directly the above result. (d) Suppose we replace the circular coil by a square coil of sides R carrying the same current I. What can you say about (L) and (oo) ?

Two identical current carrying coaxial loops, carry current I in an opposite sense. A simple amperian loop passes through both of them once. Calling the loop as C,

Figure shows a square loop 10cm on each side in the x-y plane with its centre at the origin. An infinite wire is at z=12cm above y -axis. What is torque on loop due to magnetic force?

An aircraft executes a horizontal loop at a speed of 720 km h^(-1) , with its wings banked at 15^(@) What is the radiue of the loop ?

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop

A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 "cm s"^(-1) in a direction normal to the (a) longer side, (b) shorter side of the loop ? For how long does the induced voltage last in each case ?

How is a large induced electric current obtained in a loop ?

A bead is arranged to move with constant speed around a loop that lies in a vetical plane. The magnitude of the net force on the bead is