When an electric charge is at rest, there will be electric field around it. In such region without the magnetic field, moving charge produces electric and magnetic fields. Here, when the charge is moving with fixed velocity without change of time, then fields will not change with time and hence there will be no electromagnetic waves. When the motion of the charge accelerates, then there will be change in electric and magnetic fields with respect to space and time which generates electromagnetic waves. So we see that an. accelerated charge will give electromagnetic Waves.
In an oscillatory L-C circuit, a charge oscillates across the capacitor plates. This oscillating charge has a non-zero acceleration; hence it emits electromagnetic waves of frequency same as that of the oscillating charge.
The figure shows the graphical representation of an electromagnetic wave where the electric field vector 
and the magnetic field vector 
are vibrating along Y and X-directions respectively., and the wave is propagating along Z-direction. Both and vary with time and space and have the same frequency.
Direction of propagation
