Concept explainers
(a)
The expression of
Answer to Problem 8.33P
The required expression is,
Explanation of Solution
Given Information:
The toroid is having square cross section,
Calculation:
The magnetic field intensity,
Conclusion:
The required expression is,
(b)
The expression of
Answer to Problem 8.33P
The required expression is,
Explanation of Solution
Given Information:
The toroid is having square cross section,
Calculation:
The magnetic flux density,
Conclusion:
The required expression is,
(c)
The expression of
Answer to Problem 8.33P
The required value is,
Explanation of Solution
Given Information:
The toroid is having square cross section,
Calculation:
The magnetic flux,
Conclusion:
The required value is,
(d)
The expressions of
Answer to Problem 8.33P
The required expressions are,
Explanation of Solution
Given Information:
The toroid is having square cross section,
Calculation:
The magnetic field intensity,
The magnetic flux density,
The magnetic flux,
Conclusion:
The required expressionsare,
(e)
The value of
Answer to Problem 8.33P
The required value is,
Explanation of Solution
Given Information:
The toroid is having square cross section,
Calculation:
The totalflux,
Conclusion:
The required value is,
Want to see more full solutions like this?
Chapter 8 Solutions
Engineering Electromagnetics
- Electromagnetic question Consider a hollow cylindrical surface centered on the z-axis with radius r = a, carrying a uniform surface current density Jsa = 5 af A/m. Additionally, there is a second cylindrical surface with radius r = b (b > a), which carries a current density Jsb = 4 az A/m. Calculate the magnetic field intensity H(r) for the following regions: 1. For 0 < r < a: Determine H(r) using the given parameters. 2. For a < r < b: Calculate H(r) using the given parameters. 3. For r > b: Find H(r) using the given parameters.arrow_forwardAt the points ? (-9,0), ? (0,0) and ? (4,0) in the plane, ?1 = 7, ?2 = 8 and There are 3 = 5 point loads. The electric field at point ? (0, 9) on the ? axis Write the value of the x-component numerically in terms of ke.arrow_forwardA. In free space, find the electric field intensity for these cases of infinite uniform sheet of charges: 1. (3 nC/m2) at z = −4 2. (6 nC/m2) at z = 1 3. (−8 nC/m2) at z = 4 B. Infreespace,apointcharge(Q=55mC)at(-2,3,-6),findtheelectricfluxdensity(D)atpoint P(2, -3, 6)?arrow_forward
- An electric field propagates along the z-direction and has only one component along the x -axis. It can be generally described by the equation (phasor form): Ex = E+ exp (-jbz) + E- exp (+jbz) At z=0, there is a mirror (perfect conductor); using the boundary condition Ex =0 at z=0, find: The relation between E- and E+ , also known as the “reflection coefficient”. The time expression of the total electric field for z < 0, assuming an angular frequency w. The distance between the maxima and minima of the electric field. (THIS PROBLEM IS ENTIRELY EQUIVALENT OF AN IDEAL TRANSMISSION LINE SHORT-CIRCUITED AT Z= 0).arrow_forwardA circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope of the particular orthogonal trajectory at this point.arrow_forwardSpherical surfaces at r = 1, 3, and 6 m carry uniform surface charge densities of 20 nC/m2, −4 nC/m2, and ρS0, respectively. Find D at r = 0.5, 2, 5, and 7 m.arrow_forward
- Electromagnetic question Consider a toroid with a cross-section area of 3.2 cm² and an effective radius of 14.5 cm. The coil wound around the toroid consists of N = 2,777 turns. The toroid core is comprised of two semi-circular segments, with circular cross-sections, and there is a 0.65 mm air gap at each joint. The left semicircle is made of a steel material with a relative permeability of mr-st = 4,077, while the right semicircle is made of a linear material with a relative permeability of mr = 196. Determine the coil current I required to generate a flux density of 1 T in the core.arrow_forwardThe structure in the figure has 4 concentric spherical media,which have;0<r<a free spacea<r<b ρv (C/m3) constant volume charge densityb<r<c εr relative permittivityc<r free spaceFind ?⃗ , ?⃗ and ?⃗ in these 4 regions and also plot themarrow_forwardThe polarization vector in a dielectric tube of inner radius ri and outer radius ro is ?⃗ = ?0(?̂?2? + ?̂?3?). Theaxis of the dielectric tube defined by z0>z>0 coincides with the z-axis. a) Determine the equivalent polarization surface and volume charge densitites. b) Show that the total bound charge is zero.arrow_forward
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rb has charge -Q. The electric field E at a radial distance r from the central axis is given by the function:arrow_forwardAn image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R, surrounded by a concentric cylindrical tube of inner radius R, and outer radius Rg is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density j1 = Cr and ja = Cyr respectively, for which r is the radial distance from the center. Each conductor carries the same total 1, in opposite directions. What is the magnitude of the magnetic field B, at a distance 11 = 2 cm and B, at a distance 12 = 9 cm? (R = 5 cm; R2 = 8 cm; Rg = 10 cm: 1, = 4 A; Ho = 47x10-?T.m/A. Take the sign of the current coming out from the page plane as positive).arrow_forwardDesign a uniformly-stressed coaxial cylindrical electrode system using threedifferent insulating materials with relative dielectric constants 2.5, 4, and 6(determine the layer thicknesses for the inner and outer radiuses of case-a).Calculate the maximum field strength of the layers for a test voltage of U = 200 kV.arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,