- Find H in rectangular components at P(2,3,4) if there is a current filament on the z axis carring 8 mA in the az direction. (b) Repeat if the filament is located at x=-1. Y=2. (c) Find H if both filaments are present.
(a)
The value of H for given rectangular component and current filament in the az direction.
Answer to Problem 7.1P
The value of H for given rectangular component and current filament in the az direction is
Explanation of Solution
Given:
Rectangular component at
Current filament on z-axis carrying
Calculation:
Now we can apply Biot-Savart Law, we get;
Now using the integral table, this equation evaluates as
(b)
The value of H for given rectangular component and current filament, if it is located at
Answer to Problem 7.1P
The value of H for given rectangular component and current filament is
Explanation of Solution
Given:
Current filament carrying
Current filament located at
Calculation:
Now we can apply Biot-Savart Law, we get;
Now using the integral table, this equation evaluates as
(c)
The value of H if both filaments are present.
Answer to Problem 7.1P
The value of H if both filaments are present is
Explanation of Solution
Given:
Rectangular component at
Current filament located at carrying
Calculation:
For calculating
For first filament:
Now we can apply Biot-Savart Law, we get;
Now using the integral table, this equation evaluates as
For second filament:
Now we can apply Biot-Savart Law, we get,
Now using the integral table, this equation evaluates as
Want to see more full solutions like this?
Chapter 7 Solutions
Engineering Electromagnetics
- Design 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_forwardHW: A spherical charge of (pv= 6 C/m3 ) and radius ( 4). Its center is at (1,2,3). Find settings(E) at point (3,-2,4).arrow_forwardDetermine the volume charge density, in pC/m3, at (9, -3, 8) if the electric field present in the region is E = sin (3 x + 2 y + 2 z)(ax + ay + az) V/m. All coordinates are measured in meters.arrow_forward
- A sheet charged with 2nC / m2, is in the plane x = 3 in empty space and a line of infinite load 20 nC / m is located at x = 1, z = 4 Find the direction of E in A (4,5,6) ANS: 0.962 ax + 0.272 azarrow_forwardExample 2.24) In the two-layer uniformly varying field electrode system separated by the X=0 plane, the amplitude of the electric field vector in the first layer is 80kV/cm and the angle it makes with the perpendicular component is 〖20〗^0. Since the relative electric constants of the layers are 4 and 2, respectively, calculate the tangential component of the electric field in the second layer.arrow_forward7.3 1 A circular current filament lies in the xy plane with its center at the origin. The loop carries current / in the positive аф direction and is of radius a. Find H everywhere on the z axis.arrow_forward
- EXAMPLE Find H at ( -3,4,0 ) due to 3A filamentary current directed inward from infinity to the origin on the positive z axis , and then outward to infinity along the x axis .arrow_forwardPolarization and Dielectric Constant A spherical shell has r= 1.2 cm and r= 2.6 cm as inner and outer radii, respectively. IfP= 4rar pC/m2, determine: The total bound surface charge on the inner surface. The total bound surface charge on the outer surface. The total bound volume charge.arrow_forwardIn a material medium with relative dielectric constant LaTeX: \ varepsilon_r = 3 & varepsilon; r = 3, LaTeX: 5 \ mu C5μC load LaTeX: R = 2mR = 2m radius is uniformly distributed over the sphere volume. Accordingly, which of the following is the expression of electric field outside the sphere.arrow_forward
- Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2),Find the distance from:(a) A to origin;(b)B to the origin;(c)A to B.arrow_forwardHW: A spherical charge of (pv= 6 C/m3 ) and radius ( 4). Its center is at (1,2,3). Find settings(E) at point (3,-2,4). *note and drawarrow_forward3.(Part I) A 50 V voltage generator at 20 MHz is connected to the plates of an air dielectric parallel-plate capacitor with a plate area of 2.8 cm^2 and a separation distance of 0.2 mm. Find the maximum value of displacement current density and displacement current. (Part II) A dielectric material with permeability that of free space, permittivity = 9xpermittivity of free space, conductivity = 4 S/m, is placed between the plates of a parallel-plate capacitor. Calculate the frequency at which the conduction and displacement currents are equal.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,