All 6 questions State the differential and the integral forms of Maxwell\'s equa

Question

All 6 questions State the differential and the integral forms of Maxwell's equations. Use Maxwell equations to derive the wave equation for the electric field E propagating in the vacuum. Write down the expression for the Poynting vector in terms of the electric and magnetic fields. What is the physical interpretation of this vector? Use two of the Maxwell equations to derive expressions for the the electric and magnetic fields in terms of potentials V and A. Write down the differential equations that are obeyed by the scalar potential V and the vector potential A assuming that the Lorenz gauge condition is satisfied. Write down the expressions for the solutions of the equations in question 5 assuming that the charge density p and the current density J are both given as functions of position and time.

Explanation / Answer

The integral forms of Maxwell`s equation tell us about the behaviour of electromagnetic field quantities in all geometric configurations. This form holds for every closed/open surface in the bounded region. The differential forms of Maxwell’s equations are only valid in regions where the parameters of the media are constant or vary smoothly i.e. in regions where "(x,y,z,t),(x,y,z,t) and (x,y,z,t). Furthermore differential form holds for any surface in the bounded region.

Further In order for a differential form to exist, the partial derivatives must exist, and this requirement breaks down at the boundaries between different materials.

This is the answer of first question.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.