2.2 Use the ray equation in the paraxial approximation [Eq. (2.1.8)] to prove that intermodal dispersion is zero for a graded-index fiber with a quadratic index profile. d²p 1 dn (2.1.8) dz? n dp'

Q: Maximum Extraordinary Effect. Determine the direction of propagation in quartz (n. = 1.553 and no S…

A: Poynting vector represents the directional rate of energy transfer per unit area. The unit of…

Q: 12 [A] Çi Fig. 3 (b)

A: As per guideline we are suppose to do first 3 subpart from multipart question. Pleases post the…

Q: 3.22 Assume that a spin system with a single resonance component was at ther- mal equilibrium.…

A: In a spin system with a single resonance component, the magnetization vector can be described using…

Q: - (Based on Neaman Problem 5.49). Hall effect device is fabricated from silicon at 300K. The…

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Q: Problem 7.34 A fat wire, radius a, carries a constant current I, uniformly dis- tributed over its…

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Q: 5.10 On dimensional grounds, show that the energy levels of a purely linear potential, V(r) = For,…

A: This question can easily be solved by applying the basic concept of dimensional analysis .

Q: 2.7 Determine which of the following are linear operators, and which are not. (i) The parity…

A: if each of the following operators is linear, we need to check whether they satisfy the conditions…

Q: EXERCISE 7.1-1 Quarter-Wave Film as an Antireflection Coating. Specially designed thin dielectric…

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Q: 5.3 Derive the relationship between the reciprocal lattice vector g'hki and the inter-planar spacing…

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Q: = m'b, + n'bz. most practical way to construct the re

A: The Formula to determine the Reciprocal lattice: The Reciprocal Lattice for two dimension

Q: Problem 5.5. A superconducting alloy has Hea = 150 kOe and x = 96. Find the energy of an isolated…

A: Given: HC2=150 KOek=96

Q: How much energy is imparted to an electron as it flows through a 1.5 V battery from the positive to…

A: Given data: The potential difference between the terminals of a battery, V=1.5 V.

Q: An optical fiber is fabricated with a core of pure silica (fused quartz, which is ) with a…

A: GivenThe refractive index of core of an optical fiber (pure silica) = n1 = 1.46The refractive…

Q: Interface Conditions for Permeable Materials. An interface between free space and a perfectly…

A: The Boundary conditions are stated as: For medium 1(i.e, free space): μ1=μ0, ε=ε0, σ=0 For medium 2,…

Q: In a symmetric slab waveguide, n₁ = 1.50, n₂ = 1.45, and d = 10 μm. (a) What is the phase velocity…

A: It is given that there is a symmetric slab waveguide. Here, n1=1.50, n2=1.45 and d=10 μm. It is…

Q: EXERCISE 8.2-2 The Asymmetric Planar Waveguide. Examine the TE field in an asymmetric planar waveg-…

A:

Q: Problem 9.34 Light of (angular) frequency w passes from medium 1, through a slab (thickness d) of…

A: The angular frequency of the light is given as, ω. The thickness of the slab is given as, d. All…

Q: 9.1 For an NMOS differential pair with a common-mode voltage VCM applied, as shown in Fig. 9.2, let…

A: Given information: VDD=VSS=1.0 V kn' = 0.4 mA/V2(W/L)1,2 = 10VIn = 0.4 VI=0.16 mAR0 = 5kΩ

Q: 1.1 The conventional unit cell for an fcc lattice is a cube with side length a. (a) Assuming that…

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Q: A compound pendulum is defined as a rigid body that oscillates about a fixed point O, called the…

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Q: Problem 4.5: A triangular glass prism with apex angle 4 has index of refraction n. What is the…

A: we know that,sinθc=1nθc=sin-11nϕ=r+θr=ϕ-θcr is angle of refraction on the prism.

Q: 11.28 Interface Conditions for Permeable Materials. An interface between free space and a perfectly…

A: From the Maxwell's equations, the interface conditions are given as,  1) E1ε1cos θ1-E2ε2 cos θ2=σ…

Q: Propagation Constants and Group Velocities. A step-index fiber with refractive indices n = 1.444 and…

A: Given, Refractive index,  n1=1.444n2=1.443 Wavelength, λo=1.55 μm=1.55×10-6 m For V parameter=10 We…

Q: A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius r and…

A: Faraday's law of electromagnetic induction: According to this law, the magnitude of the emf induced…

Q: (a) Using the law of cosines, show that Eq. 3.17 can be written as follows: V(r, 0) = 9 4лEо √²+ a²-…

A: Given Data: Let us consider the given data, Vr,θ=14πε0qr2+a2-2ra cosθ-qR2+raR2-2ra cosθ (a)To Prove:…

Q: 11.28 Interface Conditions for Permeable Materials. An interface between free space and a perfectly…

A: The Boundary conditions are stated as: Medium 1 free space,μ1=μ0, ε=ε0, σ=0Medium 2, permeable…

Q: 9.3. A system of two conductors has a cross section given by the intersection of two circles of…

A: Here, the two loops can be regarded as two current carrying wires with cross sections of circles…

Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

A: We have a vector field which is given by the expression F→=(exlny)i^+(ex/y+sinz)j^+(ycosz)k^. We…

Q: Problem 7.40 Sea water at frequency v = 4 × 108 Hz has permittivity € = 81€0, permeability = μo, and…

A: On solving it we get, the ratio of the conduction current to the displacement current is…

Q: Problem 11.1 Apply the principle of p. 311 to a thin bi-convex lens of refractive index n to show…

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Q: 3.2.3 From the Euler-Lagrange equation of motion: d ƏL %3D = 0, dt aqk aq Show that the equation of…

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Q: Problem 3.15: A 200 km, Three-Phase Transmission Line has its conductors placed at the corners of an…

A: Given that, d=2.5 m r=0.01 m f=50 Hz Line to neutral Capcitance, C=2πε0lnGMDrWhere GMD stands for…

Q: 4.31 If the Earth radiates as a blackbody at an equivalent blackbody temperature TE = 255 K,…

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Q: An FCC crystal is pulled in tension along the [100] direction (a) Determine the Schmid factor for…

A: Solution:   Given that,   An FCC crystal is pulled in tension along the [100] direction.   Given…

Q: In this Problem, the system of Fig. 5.4.14 (Attached) is taken as a model for an undamped car with…

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Q: Sketch v, for each network of Fig. 2.161 for the input shown. Would it be a good approxima- tion to…

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