Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 8, Problem 8.28P
To determine
The electric field intensity at given point.
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A charge QA = 30μC is located at A(2, 1, 4), and a charge QB =50μC is at B(5, 8,−2) in free space. If distances are given inmeters, determine the electric field intensity at point C( -2, 3, 1).
5. Determine the total electric field intensity (?̅) in free space at point P (-1, -3, -2) m due to a point charge Q=22nC which is at (3, 5, 1)m and a line charge with charge density
equal to 12nC/m which is at x=2m and y=4m.
Find the electric field intensity at A(12,15,18) in free space caused by a charge of 3μC at P(-2,6,-3)
Chapter 8 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 8 - Prob. 8.1PCh. 8 - What is the pattern solid angle and the...Ch. 8 - Sketch an appropriate cross section of the...Ch. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - Prob. 8.9PCh. 8 - Prob. 8.10PCh. 8 - Prob. 8.11P
Ch. 8 - Prob. 8.12PCh. 8 - Suppose in the far field for an antenna at the...Ch. 8 - Prob. 8.14PCh. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - How long is a 1.5 -long dipole antenna at 1.0 GHz?...Ch. 8 - Prob. 8.18PCh. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - Prob. 8.24PCh. 8 - Prob. 8.25PCh. 8 - Prob. 8.27PCh. 8 - Prob. 8.28PCh. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - Prob. 8.31PCh. 8 - How long is a 0.75 monopole antenna at 1.0 GHz?...Ch. 8 - Prob. 8.33PCh. 8 - Prob. 8.34PCh. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - Prob. 8.37PCh. 8 - Prob. 8.38PCh. 8 - Two small loop antennas, each oriented in the xy...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Prob. 8.42PCh. 8 - A particular broadside antenna array consists of...Ch. 8 - Prob. 8.44PCh. 8 - Prob. 8.45PCh. 8 - Prob. 8.46PCh. 8 - Prob. 8.47PCh. 8 - Prob. 8.48PCh. 8 - Design an open-ended shunt-stub matching network...Ch. 8 - Prob. 8.50PCh. 8 - Prob. 8.51PCh. 8 - Prob. 8.52PCh. 8 - Prob. 8.53PCh. 8 - Prob. 8.54PCh. 8 - Prob. 8.55P
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- For the two-layer non-magnetic and dielectric medium, it comes to the boundary at y=0 with the electric field E1→=10x^−6y^+9z^ from the 1st medium. If ϵ1=4ϵ0 for the 1st medium and ϵ2=3ϵ0 for the 2nd medium, obtain the electric field component in the 2nd medium as we obtained in the lesson by applying the boundary conditions and assuming that there is no charge at the interface?arrow_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_forwardWrite down an expression for displacement current and polarization current flowing through an open surface, S.arrow_forward
- The interface between a dielectric medium having relative permittivity 4 and free space is marked by the y=0 plane. If the electric field in the free space region is given by E=5ax + 12 ay + az V/m, determine the electric field on the other side of the interface.arrow_forwardSince the potential of a perfect conducting sphere with a radius of 3.9 cm in empty space is 15 V, calculate the strength of the electric field at a distance of 18.1 cm from the center of the sphere as V / m in ke.arrow_forwardCharge Q=18 nC is located at the origin in free space. Determine the electric field intensity at point (2, -1, -2) marrow_forward
- can you please solve this question, thanks. A sheet of charge, m , is present at the plane x = 3 in free space, and a line charge of rL = 20 nC/m , is located at x = 1, z = 4. (a) Find the magnitude of the electric field intensity at the origin. (b) Find the direction of E at P(4,5,6)arrow_forwardDetermine the electric field strength at 1 km away from a transmitting vertical wire of 1 m length (in free space) in a direction at right angles from the axis of the wire. The wire carries a current of 5 A at a frequency of 1 MHz.arrow_forwardThe Electric Field Intensity at a distance ‘r’ from a line of charge having a charge density of ?? is given by __________________.arrow_forward
- 1. Determine the total charge contained in a line extending from Cartesian point (3, 2, 1)to (5, 4, 7) carrying line charge of density p1(x, y,z)=2x +3y -5z C/m. note: this question is EMT ( electromagnetic field )arrow_forwardIn free space, let Q1 = 10nC be at P1 (0,4,0) and Q2 = 20nC be at P2(0,0,4). Find E at the origin. Where should a 50 nC point charge be located so that E = 0 at the origin?arrow_forwardA line with uniform charge density PL forms a semicircle of radius r in the first half of the xy charge plane. Determine the amplitude and direction of the electric field intensity at the center of the semicircle.arrow_forward
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