Q.Write down Maxwell equations in integral form. OR Derive the equation for angle of deviation produced by a prism.
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Start your 14-day free trial to unlock the full solution →(a) Maxwell's four equations in integral form unify Gauss's laws (electric and magnetic), Faraday's law, and the Ampere-Maxwell law; (b) a prism's refractive index follows from its minimum-deviation geometry, . Both alternatives answered below.
(a) Maxwell's equations in integral form
1. Gauss's law for electricity. The total electric flux through any closed surface equals times the enclosed charge:
2. Gauss's law for magnetism. The total magnetic flux through any closed surface is always zero (no isolated magnetic monopoles exist; field lines always form closed loops):
3. Faraday's law of electromagnetic induction. The line integral of the electric field around any closed loop equals minus the rate of change of magnetic flux through it:
4. Ampere-Maxwell law. The line integral of the magnetic field around any closed loop equals times the sum of the conduction current and the displacement current enclosed:
Together, these four equations fully describe classical electromagnetism, and their mutual coupling (a changing creates , and a changing creates ) predicts self-sustaining electromagnetic waves travelling at .
(b) Angle of deviation and refractive index of a prism
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