Answered: Electromagnetics Given scalar field…

Engineering

Electrical Engineering

Electromagnetics Given scalar field T(r,θ,φ)= rsin(θ)cos(φ). If F= gradT Determine Fφ at P(4,0.7 rad,1 rad) 4 decimals

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter14: Basic Trigonometry And Vectors

Section: Chapter Questions

Problem 1RQ: 1. Which trigonometric function is used to find the angle if the length of the hypotenuse and of the...

See similar textbooks

Related questions

Q: Determine whether the following electromagnetic fields satisfy Ampere's law in free space: D= ŷD,…

Q: Electromagnetics Given the field D =3zp cos(φ) ap Determine Divd at P(p=2.9, φ=1.8 rad, z=-1) 4…

A: Given D =3zp cos(φ)aρ

Q: Matcning Type. Match each item to a choice: U = x? + 2y? + 322 If a scalar field is specified as…

A: The solution is given below

Q: Q4) evaluate both sides of the divergence theorem for the field; A = 50r?a, in the region (0 <r <3),…

A: By divergence theorem surface intergration of A over surface= Volume integration of∇· A in closed…

Q: Q3. Given H = (3r/sin0) ag+54 r cose a, A/m in free space. Evaluate the both sides of Stokes'…

A: In the given question, We have to evaluate both sides of the Stokes Theorem through the given…

Q: In free space, E(z,t) = 50 cos(@t - Bz) a, Vlm. Find the average power in W crossing a circular area…

A: It is given that: Ez,t=50cosωt-βzaxr=2.5 mz=constant

Q: A) microstrip 2-Under which conditions of two unit vectors, the polarization toss factor (PLF) is…

A: Given : In the given question they are discussing about the polarization loss factor in the…

Q: 4) In free space É(z,t) = 70cos(wt – Bz)z (V/m). Find the average power crossing a circular area of…

A: Here we will use formula of average power density, then we will multiply average power density to…

Q: D7.6. Evaluate both sides of Stokes' theorem for the field H = 6xya, 3y2a, A/m and the rectangular…

A: Stoke's Theorem: Stoke's theorem is a theorem in vector calculus on R3 that is also known as the…

Q: D3.9. Given the field D = 6p sintoa, + 1.5pcostoa, C/m², evaluate both sides of the divergence…

A: ELECTRIC FIELD: The region around charged particles into which when another charge is brought in it…

Q: HOME WORK (1): An electric dipole located at the origin in free space has a moment p = 3āz – 2ā, +…

A: Given that p→=3ax→-2ay→+az→ nC.mar→=2ax→+3ay→+4az→ r=22+32+42=29 (a) Although relation between…

Q: An antenna radiates in free space and 12 sin 0 H -cos(27 × 10°t – Bßr)a, mA/m Now answer the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: In a scalar field v, v=xy-2yz, find at point p(2,3,6) the direction and the magnitude of maximum…

A: Given: A scalar field vx,y,z=xy-2yz According to question:…

Q: Q4) evaluate both sides of the divergence theorem for the field; A = 50r² a, in the region (0 <r…

A: We are allowed to answer first part only. As you have not mentioned which part to answer, so we are…

Q: If the E-field is oriented in any fixed direction in the x-y plane. Which of the following…

A: Given The E-field is oriented in any fixed direction in the X-Y plane.

Q: For the function F = pa, and points P (x= 3, y 0) & P(x 0,y 3). a) Calculate F dl along the curved…

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: Ex1:- Let J=10y²zax – 2x²yay+2x²zaz A /m <?find: a) The total current crossing the surface x-3, 2…

A: We need to find out total current passing through the given surface and magnitude of current density

Q: H.W) given the nonuniform field E = ya + xa, + 2az Determine the work expended in carrying 2C from B…

Q: Two fields distribution are given below; p cose V = (a) Απε, R and (b) A = âz3 cos o + 2â‚R² sin 0 –…

A: a) Given scalar fieldV=pcosθ4πε0R2

Q: 21 The plane z = 0 defines the boundary between two dielectrics. For z 0, e2 = 3, e2= 0, and µ2 =…

Q: HOME WORK: Given the field D = 6r sin ā, +r cos ā, C/m?, evaluate both sides of the divergence…

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

Q: 12 sin y cos(2 7 10°t- ßx)a,mAlm H=- 3. (a) An antenna radiates in free space and ind the…

Q: Given the vector current density J = 8p ³ z 3 ap - 8p sin 24 ay m A/m ² : (a) find the current…

Q: Given the vector current density J = 10p?za, - 4p cos?o a, A/m?. Determine the total current flowing…

A: This is a basic problem of electromagnetic field theory. The formula and calculation is shown in the…

Q: P3.26. Writing field expressions for an infinite plane current sheet source. Given Is = 0.2( V3a, +…

A: Writing field expressions for an infinite plane current sheet source. Given Js = 0.2( V3a + a,) cos…

Q: EX: Calculate the value of vector current density ne". 6) In cylinderical coordinate at p (1.5, 90°,…

Q: If the electric field strength, E of an electromagnetic wave in free space is given by E = 2 cos ot-…

Q: Electromagnetics Given field V= 4y^2z+(3x^2/y). If E = gradV. Determine Ex at P(-6,-5,-1)

A: In this question we will find electric field in x direction...

Q: Electromagnetics Given scalar field T(x,y,z) =(z/x) +(y/z)^2. If F= grad T. Determine Tz at P(4,1,4)…

A: F= gradT = ∇T= ∂∂xT ax+∂∂yT ay+∂∂ZT az from above Tz=∂∂ZT az.

Q: A short dipole-carrying current I, cos wt in the a̟ direction is located at the origin in free…

Q: 17.a) Assuming a scalar field V, V=xy-2yz find, at point P (2, 3, 6) the direction and the magnitude…

A: a) The gradient of a scalar field is a vector field and whose magnitude is the rate of change and…

Q: Q4) evaluate both sides of the divergence theorem for the field; C A = 50r? a, in the region (0 <r…

A: The divergence of a vector field A towards point P is the total outward flux of A per unit…

Q: Prove that when B ,l , and are not mutually perpendicular, motional emf is given by emf=Blv sin θ.If…

A: To prove: B ,l , and are not mutually perpendicular, motional emf is given by emf=Blv sin θ.If is…

Q: Electromagnetics Given the field D =3zp cos(φ) aφ. Determine DivD at P(p=2.6, φ=1.9, z=-3)

Q: Electromagnetics Given scalar field T(r,θ,φ) =rsinθcosφ. If F= grad T. Determine Fφ at…

A: grad T in spherical coordinates is ∂∂rT ar+1r∂∂θT aθ+1rsinθ∂∂ϕT aϕ. using above find vector in…

Q: Given at the origin, when t = 0, (phase direction in a dielectric with & =9 and loss tangent =…

Q: Evaluate both sides of the divergence theorem for the field; A = xy²a, + y°ay + y²za, , in the…

Q: Electromagnetics Given the field D = 3zp cos(phi) az. Determine DivD at P( p= 2.2, (phi)= 1.7 rad, z…

A: We need to find out divergence of given D . We will find out divergence in cylinderical coordinate…

Q: D5.1. If the vector current density J = 10p?za, – 4p cos? Ø ag mA/m?: (a) find the current density…

A: We will substitute given point to get J at that point. Current=∫J.ds where ds is the surface where…

Q: 1. If the electric field strength of a plane wave is 2V/m, what is the strength of magnetic field H…

A: As per the guidelines I have to do a maximum of 1 question so I request you to submit the remaining…

Q: answer me this question as fast as possible subject electromagnetic theory here SUM=17 and z=8 ( ρ…

A: A vector field F,F=xy2zax+x2yay+xyz2azIs placed at point p,(ρ=SUM,ϕ=0.2π and z=max) here SUM=17 and…

Q: QUESTION: Derive Maxwell’s equation from Faraday’s law and Ampere’s law in integral and Differential…

A: Gauss's law for electricity, Gauss's law for magnetism, Faraday's law of electromagnetic induction,…

Q: 2. Frequency operating is 900 MHz, cell of radius 100 m. Assume it is free space loss model. The…

Concept explainers

Code Conversion

The method or technique used to convert code from one format to another is termed code conversion. Code conversions are most commonly used in computers, digital electronics, microprocessors, etc.

Question

100%

Electromagnetics Given scalar field T(r,θ,φ)= rsin(θ)cos(φ). If F= gradT Determine Fφ at P(4,0.7 rad,1 rad) 4 decimals

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Arithmetic Operation and Code Conversion in Number System

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

Electromagnetics Given D= 3pzcos(φ) aφ. If B=curlD, determine Bp at (p=1, φ=1.8 rad,z=-4) 4 decimals
The effective span of an antenna is 2.147 m2 at an operating frequency of 100MHz. The antenna has no conduction or dielectric loss. The input impedance of the antenna is 75Ω and it is connected to a 50Ω transmission line. Find the directionality of the antenna system. (The term "system" here refers to the effects of binding to the transmission line.) It will be assumed that there is no polarization loss.
Question: An AM radio signal propagating in free space has: E = Eo sin(1200πt - βz)ax H= (Eo / η)*sin(1200πt - βz)az detrmine β and η such that the fields Satisfy <<Maxwell’s equations>>. >>you must use Maxwell’s equations to Satisfy!!!!
Q: An AM radio signal propagating in free space has: E = Eo sin(1200πt - βz)ax H= (Eo / η)*sin(1200πt- βz)az Express these in phasor form and detrmine β and η such that the fields Satisfy Maxwell’s equations.
An antenna has a total width of 45 cm and total length of 160 cm is designed to radiate at 840 MHz, Determine the field regions that surround the antenna? Antenna plezz solve Q
Wireless and Communication! 1. An isotropic antenna is supplied with a 110 W power which is having a gain of 5 dB. Determine the effective isotropic radiated power (EIRP) and the power density at a distance of 9 km.
1. Which trigonometric function is used to find the angle if the length of the hypotenuse and of the adjacent side are known?
Find the power density at 25 km from an antenna which is radiating 5 kW power andnhas a directivity of 36 dB.
A transmitting antenna with an effective height of 10 m has 50 A current at the base. If the frequency of transmission is 600 MHz, then find out the transmitted power.
A station transmits with 50 Watts transmitter power and 6 dB antenna. A) What is the effective isotropic radiate power (EIRP) in W? (Use two decimal places for the final answer) B) What is the power density (mW/m^2) in a point that is 100 m away from the station? (Use two decimal places for the final answer)
2.) A short vertical transmitting antenna erected on the surface of a perfectly conducting earth produce an rms field strength E = 100 sine mV/m at a distance of 0.5 km from the antenna. Determine the total radiated power by the antenna.
The phase velocity and phase lag of the magnetic field behind the electric field of a uniform plane time-harmonic EM wave of frequency f = 10 GHz and rms electric field intensity Erms = 15 V/m propagating through ice are found to be vp = 1.73 x 108 m/s and Φ = 10-4 rad, respectively. Compute (a) the relative permittivity and loss tangent of ice, (b) the complex propagation constant, and (c) the time-average Poynting vector of the wave.