A short dipole-carrying current I, cos wt in the a̟ direction is located at the origin in free space. (a) If k = 1 rad/m, r = 2 m, 0 = 45°, þ = 0, and t = 0, give a unit vector in rectangular components that shows the instantaneous direction of E. (b) What fraction of the total average power is radiated in the belt, 80° <0 < 100°? 14.18 %3D %3D

A short dipole-carrying current I, cos wt in the a̟ direction is located at the origin in free space. (a) If k = 1 rad/m, r = 2 m, 0 = 45°, þ = 0, and t = 0, give a unit vector in rectangular components that shows the instantaneous direction of E. (b) What fraction of the total average power is radiated in the belt, 80° <0 < 100°? 14.18 %3D %3D

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: This is a practice problem from the Engineering Electromagnetics course in my Electrical Engineering…

A: a. Given Information:Speed of light in vacuum, (c): (3×108m/s)Relative permittivity for air (ϵr) :…

Q: Find the attenuation constant for the medium whose properties are given below. f = 14(kHz) My = 9…

Q: A horizontally polarised EM wave is propagating in the (y.2) plane at 30 degrees to the horizon, so…

Q: An array of isotropic sources is shown below. If the interelement phase shift B=2n/5, then a)Find…

Q: The magnetic field along the propagation direction inside a rectangular waveguide with the cross…

Q: of the wave propagating in a dielectric H(y, t) = a,30 cos(10³t - 0.5y) mA/m Find the environment…

A: Equation of wave is given as,

Q: An antenna radiates in free space and 12 sin 0 H = cos(27 X 10³t - Br)a, mA/m r Find the…

A: Given,In free space,The magnetic fiels component is,H=12sinθrcos2π×108t-βraθ mA/m

Q: Clipper circuit: Vi (p-p)= 10 volt (Sinewave) F=1 kHz R= 10 Kohm V= 4 volt Find and Sketch the…

Q: Electric field phasor of a uniform planar wave arriving in an arbitrary direction from the air to a…

A: At surface z=0, Let the general vector in plane z=0, is r→=x,y. The general equation of the vector…

Q: B-A dielectric slab of dielectric constant & shown below is illuminated by an wave. Show that: i-…

A: Circuit is given as, Now, Suppose ε1 is the dielectric constant of air. And if θi=θt then it can…

Q: In free space E(z,t) = 70cos(@t – Bz)x (V/m).

A: we need to find out the average power for the given voltage.

Q: Assume that memory location $c100 holds a data byte =$37, [ACCA]= $B8 and [ACCB]=$FE. For each of…

A: Given data: $37 data at memory location $C100ACCA=$B8ACCB=$FE

Q: An electromagnetic wave traveling along z-axis in free space is the resultant of two linearly…

A: Since the Poynting vector is zero, it indicates that there is no net energy flow in the…

Q: Electromagnetics Given D= 3pzcos(φ) aφ. If B=curlD, determine Bp at (p=1, φ=1.8 rad,z=-4) 4 decimals

A: Given D=3ρzcosϕ aϕThe point isρ=1,ϕ=1.8 rad z=-4

Q: In a nonmagnetic, lossy, dielectric medium, a 300 MHz plane wave ischaracterized by the magnetic…

A: The given values in the problem are:The frequency of the plane wave, f = 300 MHz = 300 x 10^6 HzThe…

Q: 5. A time harmonic uniform current L0 cos wt (A) flows in small circular loop with diameter 100 (cm)…

Q: 2. The E-field pattern (radiation intensity) of an antenna 0<¢<360°, varies as follows: 1 0° <0< 45°…

A: Evaluating the radiation parameter:

Q: A magnetic field strength of 7 μA/m is required at a point on θ= π/2, 4 km from an antenna in the…

A: The magnetic field field strength due to half wave dipole is given by Given H = 7 u A r = 4 K…

Q: Magnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10°t+ 2y) ax…

A: We need to draw the the given magnetic field .

Q: Magnetic field intensity of a propagating wave in free space is given by H=0.3 cos(4*10°t+ 2y) a,…

A: We need to draw the given waveform at given time wrt y . It will be simple sinusoidal wave form at…

Q: A time-harmonic electromagnetic wave with the electric field E= a, 5sin (cot-0.5x) propagates in a…

Q: Electromagnetics Given A= (x^2y+z) az. If B= curlA, determine By at (2,4,3) 4 decimals

Q: For uniform electromagnetic plane waves having the following E field phasors, determine the…

Q: Calculate the Poynting vector S_av = ½ Re [E x H^*] for this EM wave using the electric and magnetic…

A: To calculate the Poynting vector Sav for the given electromagnetic (EM) wave, we need to use the…

Q: Electromagnetics A=(x^2y+z) ay. If B =curlA, determine Bz at (-2,0,5) 4 decimals

Q: A parabolic antenna has an opening of 15 m and receives in the normal direction a linearly polarized…

A: Given,Diameter of antenna, d=15mAmplitude, E=4×10-7 V/m

Q: Electromagnetics Given A= y^3 ax+ x^2 ay. If B= curlA, determine Bz at (-3,0,1) 4 decimals

Q: Example: A 2/2 dipole radiates a time-averaged power of 600 W at a frequency of 300 MHz. A second 40…

A: Given: In this question, the given details are, A λ2 dipole radiates a time-averaged power of Pt=600…

Q: 6- Circular polarized waves result when (A) Magnitudes are the same (B) magnitudes are same and…

A: (6) Circular polarization occurs when the two orthogonal electric field component vectors are of…

Q: b) In a certain region with u= H, ɛ =6.25€9, o = 0, the magnetic field of an EM wave is H = 0.6 cos…

A: b) Given: μ=μ∘ε=6.25ε∘σ=0 H=0.6 cos βx cos(107 t)az A/m c) To find: b) β and E c)

Q: In free space E(z,t) = 70cos(wt – Bz)x (V/m). Find the average power crossing a circular area of…

A: Consider the formula for the average power as, P=0.5EO2ηO×Area Determine the area as, A=R2π=22π=4π

Q: The plane wave E(r, t) = 2 x cos(wt + Bx) is incident on a planar interface located at x=0. The…

Q: One steradian represents O Rad O 2Rad O Rad^0.5 O Rad^2

A: As per Bartleby guidelines we are allowed to solve only one question, please ask the rest again.

Q: = 1. A uniform plane wave traveling in the +✰ direction has the following characteristics: Ē ŷEy.…

A: Step 1: Step 2: Step 3: Step 4:

Q: The magnetic field of a wave propagating through a certain nonmagneticC material in the positive y…

Q: a) Determine the polarization of a wave travelling in the positive z direction in free space has x…

A: The solution given below with attached file.Explanation:

Q: An electric dipole of 100 a. pC • m is located at the origin. Find V and E at point.(I, pi/3, *…

A: Given Electric dipole of 100 az pCmLocated at the origin Point at (1,π3,π2)

Q: An antenna radiates in free space has a magnetic field intensity of 12sine H cos(2m x 10"tBr) am…

Q: a) An 8-bit shift register holds the data word 00111100. What will the register contents be after…

A: From the right shift register..

Concept explainers

Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.

Question

14.18 A short dipole-carrying current I, cos wt in the a, direction is located at the
origin in free space. (a) If k = 1 rad/m, r = 2 m, 0 = 45°, p = 0, and t = 0,
give a unit vector in rectangular components that shows the instantaneous
direction of E. (b) What fraction of the total average power is radiated in
the belt, 80° < 0 < 100°?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step by step

Solved in 9 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

can you solve this ?
Let A = p cosø a, +pz sino a, Transform A into rectangular coordinates and calculate its magnitude at p(3. -4, 01. Transform A into spherical system and calculate its magnitude at pi 3. -4, 0). %3D
please don't copy existing answer
Need correct answer as soon as possible.
The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is H₂ = 3 cos (2.094x10²x) cos (2.618x10²y) cos (6.283×10¹0 t - Bz) 1.2 cm 3 cm The phase velocity V, of the wave inside the waveguide satisfies (A) Vp > C (B) Vp = C (C) 0 < Vp
The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction, is given by E= 10 (ây + jâ₂) e 125x. The frequency and polarization of the wave, respectively, are
Question and options are in the attached file.
[Q1] A uiform plane electromagnetic wave of frequency of 1 GHz and rms electric field intensity of 1 v/m propagates in air in +z direction. 1- Obtain both phasor and time-harmonic wave representation 2- Determine the value of both electric field and magnetic field at z=0 and t=0
1) A 120 MHz TE polarized wave with amplitude 3 V/m is obliquely incident from air (z 0). The angle of incidence is 65 degrees. Calculate: a) the angle of transmission, b) the reflection and transmission coefficients
Question 5 The current I in the given network is 1204-90° V Z = (80 - j35) 2 1204-30° V (G (b) 0 A (d) 2.38 143.63° A (a) 2.38 Z-23.63° A (c) 2.38 Z-96.37° A Question 6 For an infinitesimally small dipole in free space, the electric field E, in the far field is proportional to (e-ikr/r)sine, where k = 21/2. A vertical infinitesimally small electric dipole (8/ 0) above an infinite ideal conducting plane, as shown in the figure. The minimum value of h, for which one of the maxima in the far field radiation pattern occurs at0 = 60°. is I d! Infinite conduction plane (b) 2 (d) 0.52 (a) 0.752 (c) 0.252