State the four Maxwell equations for an electric field, E, and a magnetic field, B (you do notneed to define other symbols used).
Question
State the four Maxwell equations for an electric field, E, and a magnetic field, B (you do notneed to define other symbols used).
Solution
The four Maxwell's equations are:
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Gauss's Law for Electricity: This law states that the electric flux through any closed surface is equal to 1/ε₀ times the total charge enclosed by that surface. Mathematically, it is represented as ∮E.dA = Q/ε₀.
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Gauss's Law for Magnetism: This law states that the net magnetic flux through any closed surface is zero. This is because magnetic fields are dipolar, they have both a north and south pole. Mathematically, it is represented as ∮B.dA = 0.
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Faraday's Law of Electromagnetic Induction: This law states that a time-varying magnetic field will induce an electromotive force (EMF) in a closed loop of wire. Mathematically, it is represented as ∮E.dl = -d(∮B.dA)/dt.
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Ampere's Law with Maxwell's Addition: This law states that magnetic fields can be generated in two ways: by electric current (Ampere's Law) and by changing electric fields (Maxwell's Addition). Mathematically, it is represented as ∮B.dl = μ₀I + μ₀ε₀(d(∮E.dA)/dt).
Here, E is the electric field, B is the magnetic field, dA is a differential area, dl is a differential length, Q is the total charge, I is the current, ε₀ is the permittivity of free space, μ₀ is the permeability of free space, and t is time.
Similar Questions
Maxwell's Equations
1. Ll___________________ 2. It is the electric field multiplied by the distance.___________________ 3. An emf induced by the motion of the conductor across the magnetic field.___________________ 4. It is the electric field E multiplied by the length.___________________ 5. States that the induced emf in a circuit is equal to the time rate of change of the magnetic flux through it.___________________ 6. A non-conservative field in the loop equal to the emf divided by the circumference of the loop.___________________ 7. Consists of coils of conductors that receive a voltage and produce magnetic flux.___________________ 8. They are electrical connections that are used to transfer power to and fro from the rotor of an AC generator.___________________ 9. It converts mechanical energy into electrical energy.___________________10. Force that makes the free charges in the rod moves, at the upper end creating an excess of positive charge and of a negative charge at the lower end.___________________11. Unit of a magnetic field.___________________12. A current measuring device.___________________13. Current caused by changing magnetic field in the circuit.___________________14. Equation of emf when v is not perpendicular to the field B.
Which of the following laws do not form a Maxwell equation?ans.Ampere’s Law Faraday’s lawGauss’s Law Planck’s law Previous Marked for Review Next
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10.Explain light waves are electromagnetic in nature using wave equation for E⃗ and⃗⃗B⃗
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