2. Specifying free space conditions, develop the integral and differential forms of Maxwell's third law. Support your discussion by theoretical concepts, researching, reviewing literature (3-4 articles.
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- laplace and poisson equation Assume that V is a function of y and at y =2, V=5 volt and at y = 4, V = 10 volt. a) Find V, E, E and draw these with respect to y-axis. b) Now if p₂ = 30μc m³ and E, 3. Find V, E, E and draw these with respect to y-axis. Q2:a) i. A field occupies space, contains energy, and its presence precludes a classical "true vacuum". Is the above statement true or false? Justify your inclusion with not more than ten examples. ii. Explain the significant of the Curl of a vector and discuss what exactly is the essence of the del symbol with an x next to it, iii. Discuss the divergence and slope of the curl. Support your response with not more than five mathematical proofs.a)What is the magnitude of the electric field at a distance of 0.1 nm from a thorium nucleus? b)What is the magnitude of the force on an electron at that distance? c)Treating the electron classically, that is, as a point object that can move around the nucleus at reasonably slow speeds, what is the frequency of the electron's motion? d)Again treating the electron classically, how fast it it moving? e)What would the magnitude of the force be if the distance of the electron from the nucleus were doubled?
- PROBLEMS Section 6.2-Poisson's and Laplace's Equations 6.1 Given V -5x'y'z and e = 2.25e find (a) E at point P(-3, 1, 2), (b) p, at P. Conducting chete ore le and y 3. planes The space between them isExplain with the help of a diagram (if needed) the relationship between the electronic polarizability of molecules and the ability of a high value dielectric material (εr = 10) to either increase or decrease the charge storing capacity of a parallel-plate capacitor if such a material is inserted within the gap between the two plates. For your answer assume that the typically used dielectric material between the two plates of a capacitor is air (εr = 1).I need help with the problem. For 2a, I want to see the steps by using the chain rule. For 2b, I want to see the maxwell's relation.
- How can you distinguish between a Gaussian surface and a non-Gaussian surface? Write down expressions for electric field due to three possible Gaussian symmetries, and explain.how do i find the electric field of a function given the charge density say for 3 cases a) p(r)=kr b) sigma(r)=kr. c) lambda(r)=kr2. Given the potential field V = 50(x² - y²)V at point P (-4, 1, 5) that is stipulated to lie on a conductor-free space boundary. Find potential V, electric field Ē,electric field intensity D and ps at point P. Write the equation of the conductor surface.
- Question 1) A cylinder with uniform surface current "K (A/m)", (rotating in the phi direction, is parallel to and centered on the z-axis. The cylinder is "L" meters long and has a radius of "a" meters. Compute the electric field at a heigh "4a" directly above the cylinder (this is on the z-axis).ELECTROMAGTENICS: Solve the follwoing questions with complete solution. Question 3 Calculate the divergence of the given field at P(V2,315 °, 2): D = xze²» (z a, + xz a, + x a,)b) Given that, in free space E = Em sin (wt-ßz) ây. Find D, and Ja. Then show that 7.(V× D)=0.