electromagnetic waves The Maxwell's equations* in free space
curl E = - [¶ B/¶ t]
and curl B =m o e o [¶ E/¶ t]
show that E and B fields are interrelated, that is whenever there is a changing B field there exists an associated E field, and similarly changing E field has an associated B field. This was first observed by Maxwell who proposed the existence of electromagnetic waves in which electric and magnetic fields propagate simultaneously. Solving the equations written above, we obtain the equation of wave motion for E and B fields, having exactly the same form as any other wave motion. These are
and
(e6)
[¶ 2E/ ¶ x2] = m o e o [¶ 2E/ ¶ t2] and [¶ 2B/ ¶ x2] = m o e o [¶ 2B/ ¶ t2]
The velocity of the wave is (e 0m 0)-1/2, the numerical value of which is that of velocity of light. In fig.e3 the nature of the waves is depicted. The electric field vector and magnetic field vector oscillate perpendicular to each other and they are perpendicular to the direction of propagation. In appendix V the spectrum of electromagnetic waves is given. Only a small part in the spectrum produces sensation on our eyes and we call it light.