^Circular ring
Circular ring
Magnetic field on the axis of a circular ring


To find field at C use r = R & r = x for far away point.
Magnetic field is maximum at centre of ring, it is

Circular ring
Magnetic field on the axis of a circular ring


To find field at C use r = R & r = x for far away point.
Magnetic field is maximum at centre of ring, it is

*Average speed
Speed between two instants is called average. Mathematically it is measured as the total distance covered per unit time spent. It is scalar & always positive.
i.e. Average speed

If x1 = x2 = x3, then this relation becomes harmonic mean of individual speeds.
Also if t1 = t2 = t3, then the average speed is be given by Arithmetic mean of individual speeds. 
^Point object
An object is said to be a point object if it covers distance much greater than its size.
Two cells in parallel
I = I1 + I2


^A long horizontal fixed wire carries a current of 100 A. Directly above and parallel to it is another wire carrying a current of 20 A and weighing 0.04 N/m. The separation between the two wires so that the upper wire is just supported by the magnetic repulsion is