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: - (Based on Neaman Problem 5.49). Hall effect device is fabricated from silicon at 300K. The…
A:
Q: Problem 7.34 A fat wire, radius a, carries a constant current I, uniformly dis- tributed over its…
A:
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…
A:
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: 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…
A:
Q: A compound pendulum is defined as a rigid body that oscillates about a fixed point O, called the…
A:
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: 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…
A:
Q: 3.2.3 From the Euler-Lagrange equation of motion: d ƏL %3D = 0, dt aqk aq Show that the equation of…
A:
Q: 4.31 If the Earth radiates as a blackbody at an equivalent blackbody temperature TE = 255 K,…
A:
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: Sketch v, for each network of Fig. 2.161 for the input shown. Would it be a good approxima- tion to…
A:
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82125210-48a4-4852-a46a-55b9795e6091%2F02ee7418-8a40-4174-ba4d-cc9bffaf1c32%2Fw2828op_processed.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- The circuit shown in Figure 4.55 contains two nonlinear devices and a current source. The characteristics of the two devices are given. Determine the voltage, v, for (a) is = 1 A, (b) is = 10 A, (c) is 10 A, (c) is = 1 cos (t). is N₁ N2 i2 + i₁(A) ν -1 v (V) i2(A) + v (V)4.1. Using the nearly free-electron approximation for a one-dimensional (1-D) crystal lattice and assuming that the only nonvanishing Fourier coefficients of the crystal potential are v(n/a) and v(-π/a) in (4.73), show that near the band edge at k = 0, the dependence of electron energy on the wave vector k is given by where m* = Ek electron at k = 0. = Eo + = mo[1 − (32m²aª / hªлª)v(π/a)²]¯¹ is the effective mass of the ħ²k² 2m*11.1.3 Show that the electrostatic potential produced by a charge q at z = a for r < a is y(r) = 9 Απέρα n=0 (7) Pn(cos 0).
- (2.9) The magnetic susceptibility of platinum is 2.61×10−4, The density of platinum is 21450 kg m-3 and its relative atomic mass is given by 195.09 g mol-¹. Calculate its molar susceptibility (in m³ mol-¹) and its mass susceptibility (in m³ kg-1). Using Appendix A, translate these results into cgs units to find the molar susceptibility in emu mol-¹ and the mass susceptibility in emu g-¹. To understand why the magnetic susceptibility of platinum, a metal, is temperature independent (in contrast with Curie's law), see chapter 7.φ(r, t) = Z d 3 r 0 ρ(r 0 , t) |r − r 0 | (1.4.35) In Eq. (1.4.35), the potential φ at position r is instantaneously determined by the charge density ρ at positions r 0 that are a finite distance away. Is this spooky action-at-a-distance? Does it worry you that causality seems to be violated? Information at r 0 seems to be instantly conveyed to the distant point r, even though nothing can travel faster than the speed of light.For the pipe assembly of Prob. 4.101, determine (a) the largest permissible value of a if the assembly is not to tip, (b) the corresponding tension in each wire.(Reference to Problem 4.101):Two steel pipes AB and BC , each having a mass per unit length of 8 kg/m, are welded together at B and supported by three vertical wires. Knowing that a= 0.4 m, determine the tension in each wire.