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What ideas led Maxwell to think about e.m. wave?

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Faraday from his exprimental study on electromagnetic induction, conclude that a magnetic field changing
with time in a region produces an electric field there. Maxwell thought that there is a great symmetry in
nature. He from his theortical study concluded that an electric field changing with time in a region produces
a magnetic field there. It means a change in either field (electric or magnetic) with time produces the other
field. This ideal led Maxwell to conclude that the variation in electric and magnetic field vectors perpendicular
to each other leads to the production of e.m. wave, which can travel in space.

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