Chapter 10.1, Problem 10.4P

A uniform plane wave whose electric field has amplitude 20 V/m propagates in air in the negative y direction and strikes an interface at y = 0 formed by a nonmagnetic medium having a dielectric constant of 36. The radian frequency of the excitation is 30×108 rad/s. If the electric field points in the positive z direction as shown to the right, answer the following questions (1 through 5): 1 x EC 1. What is the magnetic field incident upon the interface? -j10y H¹ =−x()e¯¹¹⁰ A/m бл b. H = 20e/¹0 A/m j10y a. C. Ħ¹ = −â(¹)e¹¹⁰ A/m бл d. None of the others e. H¹ = y20/¹0 A/m j10y Ĥ¹ (μ₁₂80) y = 0 (μ₁,368)

E(z, t) = â cos (10$ t – z) - ŷ sin (10° t – z) (V/m) a) Determine the frequency (f) and the wavelength (2) of the wave. b) Find the relative dielectric constant (E,) of the medium c) Find the corresponding H(z, t) d) Write the electric field intensity vector E (z, t) in phasor form (E(z)) e) Determine the polarization of the wave (linear, circular, elliptical) with the reasoning of your decision (explanation is required to get the points).

: On a very clear day in summer the solar intensity in the 'little lattitudes' might reach 1000 W/m2 (averaged over time). What would be the maximum value for the electric vector     2 .    A 10 volt battery is connected to a switch, a 35 microF capacitor, and a 120 ohm resistor. Two milliseconds after the switch is closed, what is the voltage on the capacitor? 3.What is Maxwell's displacement current inside the capacitor in the previous question at 2 ms?

Solve asap this question pls Thanks A plane wave in a vacuum is normally incident on a non-conducting dielectric of relative permittivity ϵ, and relative permeability μ. If ϵ = 3.6 and μ = 1.0 and the value of the incident electric field E_0I→ is 298. What is the value of n and the transmitted field?

apv Q1-Derive the differential form of the continuity equation V.J+ = 0 using Maxwell's Equations. at Solution: From Ampere's law we have aD V x H = J+ at Taking the divergence of both sides V. (V x H) = V.J+V. 7 (210) = √ V.J + V. at Using the vector identity of V. (V x A) = 0 And Gauss law for electric field V.D = Pu We get that the left-hand side equals Zero and we arrange the right-hand side to apv 0 = V.J+ a at V.D = V.J+ at HW1- Derive the integral forms of Maxwell's equations and the continuity equation from the differential form. V.D

Student number is C1700125, Y is therefore 5. Hence, the rms flux is 60

1- A dielectric disk of radius a and thickness d is situated in free space. The disk is Find the distribution of bound polarized with a polarization vector P(r) = P₁ Î charges of the disk 2- Consider a two-wire transmission line in air. The radius of the wires is a and the distance between the conductor axis is d (d » a ). The transmission line is connected to a constant voltage source of magnitude Vo. Find the electric energy per unit length of the transmission line a

A parallel plate capacitor of width W, length L, and separation d has a solid dielectric slab of permittivity e(x) as shown in the figure. A potential difference Vo Volts is applied to the capacitor terminals. Neglecting fringing, for i. e(x) = €, ii. e(x) = €ge* Determine; a) The electric field intensity E, b) The displacement vector D, c) The capacitance C, d) The stored electrostatic energy We e) Magnitude and the direction of the force acting on the slab Fm W E (R) Figure of Q1

The infinitesimal external work required to increase the overall dipole moment of a uniformly polarised dielectric substance from p to p + dp in an electric field E is SW = Edp. -SdT - pdE. i. Show that the Gibbs free energy is given by dG Establish the Maxwell relation: ii. as JE T The polarisation per unit volume of a dielectric substance is given by: € E T where €0 р = and C are constants and V is the (constant) volume of the system. E iii. Using a suitable Maxwell relation and the equation of state show that: მU JE T = 0