5.1i Given the current density J = -10ʻ[sin(2x)e¬2yax + cos(2x)e¬2"a,] kA/m²(a) Find the total current crossing the plane y = 1 in the ay direction in theregion 0 < x < 1, 0 < z < 2. (b) Find the total current leaving the region0 < x, y < 1, 2

We have given the following problem Find the total current crossing the plane y=1 in the ay…

Given the current density J = –10ʻ[sin(2x)e¬2³a, +cos(2x)e¬2³a,] kA/m² (a) Find the total current crossing the plane y = 1 in the a, direction in the region 0 < x < 1,0 < z < 2. (b) Find the total current leaving the region 0 < x, y < 1, 2

Given the current density J = –10ʻ[sin(2x)e¬2³a, +cos(2x)e¬2³a,] kA/m² (a) Find the total current crossing the plane y = 1 in the a, direction in the region 0 < x < 1,0 < z < 2. (b) Find the total current leaving the region 0 < x, y < 1, 2

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: If the vector current density J = 10p²za, – 4p cos² Ø a, mA/m?: (a) find the current density at P(p…

Q: Calculate numerical values for V and py at point P, in free space if: 2 coso (a) V (b) V = 5r?cos2p,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Calculate D in rectangular coordinates at point PA(2, –3, 6)produced by a uniform line ch = 20mC…

A: In this question we will find D due to uniform line charge on y axis....

Q: HW1: Region y0 is a dielectric medium (€r1 = 2). If there is a surface charge of ps =2n on the…

Q: 3. Region 1 (z 0) is characterized by &2 = 4. Let E, = -30a, + 50ay+70a, V/m, find: a) E2. b) D2 c)…

A: To find the value of the E2 D2

Q: Q1) Determine the corona characteristics of a 3-phase line 160 km long, conductor diameter 1.036 cm,…

Q: There are point loads ,Q1 = 5, Q2 = 8 and Q3 = 6 at points A(-8,0), O(0,0) and B (6,0) in the OXY…

Q: 3.10.[1] A cube is defined by 1 < x, y, z < 1.2. If D = 2x²y a, + 3x²y² a, C/m²: (a) apply Gauss's…

A: Given:-1<x,y,z<1.2D=2x2yax+3x2y2ay

Q: H.W.1 Within a certain region, e= 10-1" F/m and u = 10-$H/m. If B, = ƏE 2 x 10 cos 10°t sin 10-3y T:…

A: H.W. 2(a)v(t=0)=0.1e20×0=0.1 m/s (∵y=0 at…

Q: QI: Given the clectric field intensity, E= 10ya. + 4xay V/m, find: i. The equation of the streamline…

A: Any charged particle produces an electric field. This electric field is directed from the positive…

Q: Two extensive homogeneous isotropic dielectrics meet on plane z = 0. For z 2 0, ɛ,1 = 4 and for z…

A: If the field exists in two different mediums, then the field that satisfies the interface of the…

Q: O REGION 1, x< O is homogeneous dielectric with E1,=2.5 REGION 2, x 2 0 is free space If D, =…

Q: Ex/1 Let] = 10y²zax – 2x²yay + 2x²zaz (A/m²), find: a) Total current crossing the surface x = 3, 2…

Q: Two extensive homogeneous isotropic dielectrics meet on plane z = 0. For z 2 0, e,1 = 4 and for z s…

A: Given: In the above question they have mentioned two mediums, both the mediums are separated by a…

Q: wo conductors with concentric radii r1=10 m and r2=11 m are placed in such a way that heir center is…

A: We need to find out electric field at given point due to given charge distribution

Q: . Given the electric field intensity, E 10ya, +4xay V/m, find: The equation of the streamline…

Q: Q2) Evaluate both sides of the divergence theorem if the electric flux density in a cylindrical…

A: Divergence theorem

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: 5.5I Let J = 25/pa, – 20/(p² + 0.01) a A/m2. (a) Find the total current crossing the plane z = 0.2…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A current filament carrying 15 A in the a, direction lies along the entire z uxis. Find H in…

A: consider the given question;

Q: There are point loads ,Q1 = 5, Q2 = 8 and Q3 = 6 at points A(-8,0), O(0,0) and B (6,0) in the OXY…

A: Any electrical charge produces an electric field around it. The electric field lines direction is…

Q: Time left 1:34:16 The surface current density in a spherical medium is given with J = 173 sin (0) e,…

Q: In free space, let D = 8xyz*a, + 6x?z*ã, + 16x?yz'a, pC/m². 37 2 %3D

A: We need to find out electric flux Passing through the given surface .

Q: Two extensive homogeneous isotropic dielectrics meet on plane z = 0. For z 2 0, E, = 4 and for z s…

A: If the field exist in two different medium then the field that satisfy interface of separating…

Q: HW 2-4 Planes x = 2 and y = -3, respectively, carry charges 10 nC/m2 and 15 nC/m2. If the line x =…

A: Given x=2 and y=-3 respective charge Q1=10×10-9Columbs and Q2=15×10-9Columbs line x=0,z=2 carrying…

Q: D5.1. Given the vector current density J = 10p²za, - 4p cos² pa mA/m²: (a) find the current density…

A: We need to find out the current density and current for given current .

Q: Q3: (a) The current density in a cylindrical conductor of radius 2mm is: J = 10³e-400r Find the…

Q: The magnetic field intensity is given in a certain region of space as H=[(x+2y)/z²]a, +(2/z)a. A/m.…

A: The magnetic field intensity is given in a certain region of space as: H=x+2yz2a^y+2za^z A/m. a) We…

Q: 3. Let J = 400 sin 0/(r + 4) a, A/m'. (a) Find the total current flowing through that portion of the…

Q: current element currying 20 mA in a az direction lies along the entire z axis. Find H in rectangular…

Q: Let J=xzy ax- 2z²yay+2x²yaz A /m s?find: a) The total current crossing the surface y=3, 2 <x < 3,…

A: We need to find current and current density for given current density .

Q: 5.5 Let J =-a, az A/m2, and: (a) find the total current crossing p2 + 0.01 = 0.2 in the a; direction…

Q: H.w1.pdf H.W 1 Let J=xzy ax – 2z²yay+2x²yaz A /m s?find: a) The total current crossing the surface…

A: Given J=xzy a^x-2z2y a^y +2x2y a^z A/m2

Q: 20 25 5.5 Let J =a, a. A/m2, and: (a) find the total current crossing ap. (c) +0.01 the plane z 0.2…

A: Note: As per guidelines will be solving only the first 3 subparts. Please repost for others. For the…

Q: 3. Region 1 (z 0) is characterized by &2 = 4. Let Ej = -30a, + 50a, + 70a, V/m, find: а) Е2. b) D2…

A: As per the guidelines, we supposed to answer first three part of the question at a time so please…

Q: There are point loads ,Q1 = 9, Q2 = 3 and Q3 = 6 at points A(-6,0), O(0,0) and B (11,0) in the OXY…

Q: *Ē(x,y) 2а h Perfect electric conductor An infinite line conductor with radius a=23 mm lies along…

A: Part (a): The magnitude of the vector from the line center to the point (403,388) cm can be…

Q: There are point loads Q1= 4, Q2=9 and Q3=4 at points A(-7,0), O(0,0) and B (4,0) in the OXY plane,…

A: Electric field

Q: Q2) Evaluate both sides of the divergence theorem if the electric flux density in a cylindrical…

A: Divergence theorem of electric flux density

Q: Let J-10y²zax - 2x²yay+2x²zaz a) The total current crossing the surface y=2, 1<x< 2, 1 <z <2 b) The…

A: We need to find out the current and current density .

Q: A homogeneous dielectric (e, 2.5) fills region 1 (x0) is free space. (a) If D, 12a, - 10a, + 4a,…

A: Boundary conditions are D1n=D2n Normal components of flux density at boundary of interface is same.…

Q: A charge QA= -20 µc is located at A (-6, 4, 7), and a charge QB= 50 µc is located at B (5, 8, -2) in…

A: The force acting on a charge in the presence of a distant charge is expressed by the following…

Q: 20 3. Let J 25 a [A/m²] (P +0.01) (a) Find the total current crossing the plane z 0.2 m in the a,…

A: Given:- J→=25ρa^ρ-20ρ2+0.01a^z

Q: 1. For the current density J = 100 z sin 2 Øf A/m?, find the current through the cylindrical surface…

Q: 9.18 i The parallel-plate transmission line shown in Figure 9.7 has dimensions b = 4 cm and d = 8…

A: ∇×H=-∂Hy∂zax =-5βsin109t-βzax =20εo ∂E∂t20εo ∂E∂t=-5βsin109t-βzaxTaking integration…

Q: There are point loads ,Q1 = 5, Q2 = 8 and Q3 = 6 at points A(-8,0), O(0,0) and B (6,0) in the OXY…

Q: In a certain region, the electric field intensity is given by: E = (2 cos o / r) a,(r sin 4) ag + (4…

Q: A simplified block diagram of pressure vessel for hydrogen is shown in Figure Q4 (a). By using root…

Q: = -10ºz²a A/m² in 1. Current density is given in cylindrical coordinates as J the region 0 ≤ p≤ 10…

A: Current density:- It is define as Electric current flowing per unit cross section area. If the value…

Concept explainers

Electric field

A physical field present around an electrically charged particle that exerts a force on all other charged particles is called an electric field. The charged particles present in the field either repel or attract. From electric charges or time-varying magnetic fields, the electric field originates. One of the manifestations of electromagnetic force which is one of the four fundamental forces present in nature are the electric fields and magnetic fields.

Question

100%

5.1i Given the current density J = -10ʻ[sin(2x)e¬2yax + cos(2x)e¬2"a,] kA/m²
(a) Find the total current crossing the plane y = 1 in the ay direction in the
region 0 < x < 1, 0 < z < 2. (b) Find the total current leaving the region
0 < x, y < 1, 2 <z < 3 by integrating J. dS over the surface of the cube.
(c) Repeat part (b), but use the divergence theorem.

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 by step

Solved in 8 steps with 1 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

For two media with current-free boundary, the tangential H, is 20ay, while the normal B, is 4a, . Calculate H,, knowing that (u; = 1.5) and (uy = 2)? 0 A/m -2ay + 2.66a, A/m 2ay + 2.66a, KA/m 2.66ay - 2a, A/m 2.66ay + 2a, A/m 2ay +2a, A/m None -2ax - 2.66a, A/m 2ay - 2.66a, A/m 2ay + 2.66a, A/m
An Underground cable of length 40 Km has a conductor of diameter of 1.5 cm and a sheath of inner diameter 5 cm. If the permittivity of insulation is 3.5, Analyze the following Electrical Parameters of the UG-cables (i) the inductance per km length (ii) capacitance per km length. (iii) Natural impedance (Surge Impedance) and (iv) velocity of propagation of the travelling waves.
Hi, I need help with this question please Consider a coaxial cable of length l = 50 cm, inner radius of a = 3 cm, and outer radius of b = 5 cm. Due to the conductivity of σ = 0.05 S/m of the dielectric material, a total current of I = 1 mA flows radially outward between the two conductors. Find:a) the current density as a function of r,b) the electric field between the two conductors as a function of r, c) the voltage between the two conductors.
A sheet of charge , ρs = 2nC/m2 is present at the plane x =3 infree space, and a line charge , ρL = 20nC is located at x=1, z=4.Find the magnitude of the E at the origin. Complete solution.
A potential difference of 20 V is applied longitudinally to a rectangular specimen of intrinsic Ge of length 1.5cm, width 0.6cm and thickness 0.15cm. Calculate the total current, Givenμn=0.38m2/Vs, μp=0.18m2/Vs .if intrinsic carrier density is 2.5×1019/ m3
A 132kV line with 1.956 cm diameter polished conductors is built so that corona takes place if the line voltage exceeds 75kV per phase. If the value of potential gradient at which ionization occurs cab be taken as 32kV (Max) per cm and air density factor 0.91. Distance between conductors is 1.21 meters. The corona loss is
In 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.
1)An electric dipole of 100 az pC.m is located at the origin. Find V and E at point (0, 0, 10) 2) In a certain region, the electric field is given by D = 2p(z+1) cos o a, -p(z + 1) sino ap + pacos o az uC/m² a) Find the charge density. b) Calculate the total charge enclosed by the volume 0. 3) A potential is given by V=2(x+1)^2(y+2)^2(z+3)^2 V in free space. Calculate 1) potential 2)Ebar 3) Dbar 4) Qv at point A(1,2,3). Also find work done in moving a 10uc charge from A(1,2,3) to (-1,-3,3).
A. 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)?
The point charge 6µC located at T(5,3,4) in free space. Find Eρ, E∅, Ez at P(6, 10, 3) answer ASAP
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 az
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.