Consider an infinitely long wire carrying a current 'I', with `(dI)/(dt)=lambda=constant`. Find the current produced in the rectangular loop of wire ABCD if its resistance is R (Fig. EP 6.25)

A rectangular loop of wire ABCD is kept close to an infitely long wire carrying a current I(t)=I_0(1-t/T) for 0 le t le T and I(0)=0 for t >T (Fig. EP 6.26). Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is it

Write an expression for the magnetic field produced by an infinitely long straight wire carrying a current I, at a short perpendicular distance a from itself.

Define mutual inductance and write its SI unit. A square loop of side 'a' carrying a current I_2 is kept at distance x from an infinitely long straight wire carrying a current I_1 as shown in the figure SAQ 41. Obtain the expression for the resultant force acting on the loop.

The magnetic field at a distance r from a long wire carryimg current I is 0.4 T. The magnetic field at a distance 2r is

A horizontal wire AB of length 'l' and mass 'm' carries a steady current I_1 , free to move in vertical plane is in equilibrium at a heigh of 'h' over another parallel long wire CD carrying a steady current I_2 , which is fixed in a horizontal plane as shown. Derive the expression for the force acting per unit length on the wire AB and write the condition for which wire AB is in equilibrium.

A metal bar AB can slide on two parallel thick metallic rails separated by a distance l. A resistance R and an inductance L are connected to the rails as shown in the figure. A long straight wire carrying a constant current I_(0) is placed in the plane of the rails and perpendicular to them as shown. The bar AB is held at rest at a distance x_(0) from the long wire. At t=0, it is made to slide on the rails away from wire. Answer the following questions. Find a relation among i, (di)/(dt) and (d phi)/(dt) , where i is the current in the circuit and phi is the flux of the megnetic field due to the long wire through the circuit.

A rectangular loop of wire of size 4 cm xx 10 cm carries a steady current of 2A. A straight long wire carrying 5A current is kept near the loop If the loop and the wire are coplanar, find (i) the torque acting on the loop and (ii) the magnitude and direction of the force on the loop due to the current carrying wire(fig).

A wire carrying current I and other carrying 2I in the sam direction produce a magnetic field B at the midpoint. What will be the field when 2I wire is swiched off?