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According to Maxwell’s hypothesis, a changing electric field gives rise to

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1 Year agoGrade
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1 Year ago

According to Maxwell's hypothesis, a changing electric field gives rise to a magnetic field.
Explanation:
Maxwell's equations describe the relationship between electric and magnetic fields, and one of the key equations (Faraday's Law of Induction) states that a time-varying (changing) electric field produces a magnetic field. This is a crucial principle for the understanding of electromagnetic waves.
In mathematical form, this is represented as:
∂E∂t=−∇×B\frac{\partial \mathbf{E}}{\partial t} = -\nabla \times \mathbf{B}
This equation tells us that a time-varying electric field (∂E∂t\frac{\partial \mathbf{E}}{\partial t}) induces a magnetic field (B\mathbf{B}).
Maxwell also unified this with Ampère's Law, which initially described how electric currents produced magnetic fields, to form the foundation of the theory of electromagnetism, demonstrating that electric and magnetic fields are interconnected.
Answer:
A changing electric field gives rise to a magnetic field.