HW1: Region y<0 consists of a perfect conductor while region y>0 is a dielectric medium (€r1 = 2). If there is a surface charge of ps =2n on the conductor, determine E and D at (a) A (3,-2,2) (b) B (-4,1,5) %3D m2 HW2: Two extensive homogeneous isotropic dielectrics meet on plane z= 0. For z<0, er1 uniform electric field E, = 5ax - 2ay + 3az k V/m exists for z> 0. Find E, for z<0 4 and for z> 0, E2 = 3. A %3D

Q: 2.17 A uniform line charge of 16 nC/m is located along the line defined by y = -2.: = 5. If e = €g:…

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Q: A uniform electric field intensity of E, =-2a, +4a, -6a, kV/m exists at z0. Determine: (a) The…

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Q: In a three layered, cylindrical electrode system, 100 kV is applied to the inner conductor while the…

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Q: Q2: Tow coaxial conducting cones have their veticies at the origion and the z-axis at their axis.…

A: Part (a): Using the trigonometric identity, the angle between the z-axis and the curved surface of…

Q: A rectangular waveguide is filled with a (non-magnetic) perfect dielectric. The metal is a PEC. X &,…

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Q: Two extensive homogeneous isotropic dielectrics meet on plane z = 0. For z 2 0, En = 4 and for zs0,…

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

Q: Q5: The coaxial cable is centered on the x-axis, with inner radius a 0.5 and outer radius b= 1 with…

A: Solution:-Let us consider inifinity long co-axial lineconsisting of an inner conduction of radius…

Q: 2. Given the potential field V = 50(x² – y²)V at point P (-4, 1, 5) that is stipulated to lie on a…

A: In this question we have given potential ...We have to find out potential,electric field , flux…

Q: Coaxial cable R A long coaxial cable carries a uniform (positive) surface charge density ơi = 5…

A: Solution     a)      Assume the cylinder has a length L                         Qin=(2πR1)Lσ1…

Q: 2) Consider a coaxial line of length (L=5 m) as shown below. The radii of the inner and outer…

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Q: Two conical conducting surfaces, 0 = 20° where V = 10 [Volt], and 0 = 40° where V = 3 [Volt], are…

A: Conductive materials are the best conductors of electricity and heat. Conductors allow heat to…

Q: Q1. Let region 1 (z0) is characterized by a, = 2. Let D1= - 30ax+ 50ay + 70a, nC/m2 and find: 1. Dn1…

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Q: A conducting spherical shell has inner radius a=6.6 m, outer radius b=20.5 m, and conductivity o=85…

A: Charges provided to a conducting shell spred its surface mean inside charge is zero and electric…

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

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

Q: Region 1 (y 0) contains dielectric medium with e = 6 E, and p2 = 2.75 Ho- Draw a figure which…

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

Q: A uniform electric field intensity of E, =-2a, +4a, - 6a, kV/m exists at z0. Determine: (a) The…

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

A: In this question we will find E and D at given point with conductor and dielectric medium...

Q: Problem 1: A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If…

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Q: Q2. Let V = (cos 20)/p in free space. a) Find the volume charge density at point A(0.5, 60º, 1),…

A: a) Calculate the value of . From Poisson’s equation Calculate the value of at point . Thus, the…

Q: It is viewed from the cross-section of a coaxial cable consisting of a cylindrical conductive tube…

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

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Q: Given the potential field V = 50(x² - y²)V at point P (-4, 1, 5) that is stipulated to lie on a…

A: In this question , potential field V is given....We have to find out potential , electric field…

Q: HW1: Region y 0 is a dielectric medium (er1 = 2). If there is a surface charge of ps = 2 n on the…

A: In this question we will find E and D at given points in different medium given..

Q: A cube is defined by 1 < x, y, z < 1.2. If D = 2x²ya, +3x²y²a, C/m². (a) Apply Gauss's law to find…

A: Given data, D=2x2yax+3x2y2ay C/m2 a) Gauss law in integrated form, ψnet=∮sD¯.ds¯=Qenc. We assume…

Q: 1) A coaxial cable is shown below (the cross section is shown). It consists of a solid inner…

A: The surface charge density on the inner conductor is ρs0­ [Cm-2]. This means all the charges will be…

Q: An infinitely long uniform line charge is located at y = 3, z = 5 if ρL = 30nC/m, find E at: (a) the…

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Q: Q1) Evaluate both sides of divergence theorem in a spherical region bounded by 3<r<4 m, if the…

A: Given: The electric flux density in the spherical coordinate system is: D→=5r-33ar^ C/m2  ,…

Q: R2" lo R3 Ri An image taken from the cross-sectional area of a coaxial cable consisting of a solid…

A: Since, the current in the small differential area is given as:

Q: 25 a, p2 + 0.01 20 a. A/m², and: (a) find the total current crossing Let J = the plane z = 0.2 in…

A: a) The current density is given, the total current crossing the plane is calculated as shown below:…

Q: PROBLEM 2 Calculate the electric field intensity at M (3, -4, 2) in free space caused by a) charge…

A: We will use formula of electric field intensity due to point charge to find out electric field…

Q: A conducting sphere centered at the origin has radius r1=0.41 m and potential V1=7 V. Another…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: R2 R3 lo R1 An image taken from the cross-sectional area of a coaxial cable consisting of a solid…

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Q: Q2) Calculate the total capacitance of a unit (2 length coaxial cable with outer diameter of 24 mm…

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Q: PROBLEM 2 Calculate the electric field intensity at M (3, -4, 2) in free space caused by a) charge…

A: We know direct formula for electric field at a particular point due to point charge .

Q: 27 Which statements are CORRECT to represent the figure below? Metal conductor Pv E (i) The net…

A: Since it is a conductor entire charge is present at the surface. As there is no charge inside metal…

Q: Q2. Let V = (cos 2p/p in free space. a) Find the volume charge density at point A(0.5, 60-, 1), Find…

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Q: Determine the capacitance of: (a) a 1-ft length of 35B/U coaxial cable, which has an inner conductor…

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Q: A uniform line charge of 16 nC/m is located along the line defined by y = -2, z = 5. (a) Find E at…

A: In uniform line charges, charges are uniform along the line axis, they are placed parallel and equal…

Q: Let Er1 = 2.68 for 0 < y < 1.4 mm, Ɛr2 = 2.7 for 1.4 < y < 2.3 mm, and år3 = 4.3 for 2.3 < y < 3.5…

A: A parallel placed plate capacitor can hold a limited value of electric energy before a collapse…

Q: Q3) In free space, calculate the total electric flux leaving the cylinderical surface defined by:…

A: We need to find out charge enclosed by given surface .

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: A circular disk of radius a is uniformly charged with ps C/m² . If the disk lies on the = 0 plane…

A: We can assume this charge distribution as a collection of concentration rings of charge.…

Q: Q (6): Two homogeneous dielectrics meet on plane z 0. For z2 0, e-3 and for z0, E=2. A uniform…

A: Homogeneous dielectric  A dielectric constant that is not a function of coordinates is called a…

Q: 14 Let region 1 (z0) is characterized by another dielectric constant E2. In region1, let D, = d£ +…

A: Let region 1(z&lt;0) be composed of uniform dielectric material with dielectric material with…

Q: In free space, let D = 8xyz*a, + 6x°z*ãy + 16x?yz a, pC/m². a. Find the total electric flux passing…

A: Given In free space, let D = 8 x y z ax+4x z ay+ 16x²y z³a-pc/m².  (a). Find the total electric flux…

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: Drill 2.5 [1] Two infinite uniform line charges of 5 nC/m charge density lie along x and y axis in…

A: Electric field intensity

Q: Q (6): Two homogeneous dielectrics meet on plane z 0. For z2 0, en 3 and for z 0, E2 2. A uniform…

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

A: According to guidelines we need to solve only the first three subparts. Given the value of J and we…

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.