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What is the relation between energy density and electric field?

Write the expression for energy density of electric field E in free space.

The rms value of electric field of a plane electromagnetic wave is 314V//m .The average energy density of electric field and the average energy density are

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In a plane e.m. wave, the electric field oscillates withe amplitude 20Vm^-1 . Find (a) energy density of electric field (b) energy density of magnetic field.

The energy density in an electric field of intensity 100 V/m is

In an electromagnetic wave, the amplitude of electric field is 10V//m . The frequency of wave is 5xx10^14Hz . The wave is propagating along Z-axis, find (i) the average energy density of electric field (ii) the average energy density of magnetic field (iii) the total average energy density of EM wave.

Why do we always get electric field intensity near a charged metallic surface of magnitude twice of the electric field intensity near a thin sheet of charge with same surface charge density as of metal plate?