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The Electric field on the Gaussian surface can now be computed as,
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The Tailor's series expansion for
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Hence,
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On the other hand,
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Electromagnetism has had a profound effect on human civilization. Power generated from large electric generators is distributed around the world bringing light into our lives. Maxwell united electricity to magnetism and uncovered the true nature of light. He also arguably motivated Einstein into developing relativity. Hopefully solving Irodov's problems will deepen your appreciation of the beauty and power of Maxwell's equations.
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