A wire loop carrying a current I is placed in the xy-plane as shown in figure
If a particle charge +Q and mass m is placed at in centre P and given a velocity v along NP (see figure), find its instaneous acceleration.

A wire loop carrying a current I is placed in the xy-plane as shown in figure If an external uniform magnetic induction field B=Bhati is applied, find the force acting on the loop due to this field.

A point charge q is placed at O as shown in figure. Is V_P - V_Q positive or negative when q

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 metallic wire carrying a current I is bent into the form as shown in the figure. The circular portion ABC of the wire is of radius r and the straight portion AC subtends an angle 2theta at the centre O. Find the magnetic field due to the conductor at point O. If the radius of the curved path is r, find the magnetic field at the centre O.

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 circular loop of radius R, carrying current I, lies n XY-plane with its centre at origin. The total magnetic flux through XY-plane is

A wire loop is formed by joining two semicircular wires of radii r_1 and r_2 as shown in the figure . The loop carries a current I, find the magnetic field at the centre O.

A crcular loop of charge is placed in YZ-plane with its centre at the origin. Find expression for electric field at a point on X-axis.

Four point charges Q, q, Q and q are placed at the corners of a square of side 'a' as shown in the figure. Find the resultant electric force on a charge Q?

Four point charges Q, q, Q and q are placed at the corners of a square of side 'a' as shown in the figure. Find the potential energy of this system?