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How can this statement be phrased in mathematical

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How can this statement be phrased in mathematical terms?
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7 2.1. Example Maxwell’s Equations (iii) Faraday's law describes how a changing magnetic field can create ("induce") an electric field . This aspect of electromagnetic induction is the operating principle behind many electric generators : A bar magnet is rotated to create a changing magnetic field, which in turn generates an electric field in a nearby wire. How can this statement be phrased in mathematical terms? 2. Vector Calculus
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8 2. Vector Calculus 2.1. Example Maxwell’s Equations (iv) Ampère's law with Maxwell's correction states that magnetic fields can be generated in two ways: by electrical current (this was the original "Ampère's law") and by changing electric fields (this was "Maxwell's correction"). How can this statement be phrased in mathematical terms?
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9 2. Vector Calculus 2.1. Example Maxwell’s Equations Maxwell’s equations can be formulated very conveniently using concepts of vector calculus . Typically, they can be written either in a differential form using vector differential operators, or in integral form . These differential and Integral forms are related by famous vector integral theorems which will be discussed here as well.
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10 2.2.Scalar and Vector Fields A scalar field assigns to each point in a region of a 1D, 2D or 3D domain a scalar value which is associated with this point.
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