Q1: a- find the area of the following surface r=4 , π/4<θ<2π/3 ,0<φ<π b- find the volume of the following region 4<ρ<5 ,π/3<φ<π ,-2

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: Given H = 300a̟ cos(3 × 10°t – y) A/m in free space, find the emf developed in the general a,…

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Q: Q1) (a) For static EM fields ,write Maxwell's equation in point form using only F and H fields, also…

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Q: Q2) (a) If D = 15p² sin(20) a, + 10p cos(20) a, Cim2, evaluate both sides of the divergence theorem…

A: Given D =15ρ2sin2ϕaρ+10ρ2cos2ϕaϕ C/m21&lt;ρ&lt;2 m, 1&lt;ϕ&lt;2 rad, 1&lt;z&lt;2 m Q = 50 nC Point A…

Q: Evaluate the volume integral of DivD enclosed by the rectangular parallelepiped formed by the planes…

A: First we will find out the divergence then we will do integration .

Q: the function T gives the temperature distribution with the expres: 5z ection and magnitude of…

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Q: b) Given that D= (10r2 ) ar (c/m²) in cylindrical coordinates, evaluate both sides of the divergence…

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Q: Question 2. a) Consider point P(2/3, 6,-4) and transform it from Cartesian to spherical Show the…

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Q: Q1(group A) The electric flux density in free space is given as D = 2x? āx + Z?āz c/m?. Evaluate…

A: Que 2 group A

Q: 3.29 l In the region of free space that includes the volume 2 < x, y, z < 3, D = 3(yz a, + xz a, –…

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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: Find the distance between (1, T/4, 0) and (1, 3ª /4, ), where the points are given in spherical…

A: use distance between the two points in spherical coordinates to find the distance between the two…

Q: 92 In spherical Coordinates. E 2r ar v/m.find The Potential alany Point,using The re feren ces…

A: In spherical coordinates, E = 2r/(r2 + a2)2 ar V/m. Find the potential at any point, using the…

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: ex A current ef 0:4 A in the a direction in free space is in a filament parallel to the Z-axis and…

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Q: H.W.1: A circular ring has ( pl =4 µC/m ) of radius (3m) ,its center at origin on (xy-plane). Find…

A: A circular ring charge density 4uC/m Radius R=3m Electric field at (0, 0,6) (0, 0,-6) and origin

Q: 18 (a) Express the field F- 2xyza,- 5(x + y + 2)a, in cylindrical coordinates (variables and…

A: Gradient- Gradient of a scaler field is a vector quantity that represents both magnitude and…

Q: 3.29 | In the region of free space that includes the volume 2 < x, y, z < 3, D = S(y% a; + xz ay –…

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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: Given point P(—2, 6, 3) and vector A = yax + (x + z)ay, express P and A in cylindrical and spherical…

A: Given, point P(—2, 6, 3) and vector A = yax + (x + z)ay

Q: AZ y , 5 2 2 This object is in the cartesian system, defined by x = 2 → 5, y = 2→ 5, z = 0 → 2. A…

A: Part (a): The electric field in the cartesian system is given by:

Q: 1) If D= 2a, - 4a, and C=2a, -4a,. Find the vector component of D in the direction of C. (The answer…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: H.W.1: A circular ring has ( pl =4 µC/m) of radius (3m) ,its center at origin on .(xy-plane). Find…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other questions…

Q: Example//Consider the portion of the sphere shown in fig. The surface is specified by 4,0 ≤0 ≤0.1,0…

A: given that  H→=6 r sinϕ ar + 18 r sinθcosϕ aϕ evaluate both sides of stokes theorem    surface…

Q: e origin toward the midpoint of the line AB; (d) the co oint on the line connecting A to B at which…

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Q: PROBLEM 1 In the region of free space that includes the volume 2<x, y, z <3, D = 2z (yz ax + x² ây -…

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Q: 2.20. Uniform line charges of 120 nC/m lie along the entire extent of the three coordinate axes.…

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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: 1. A straight nonconductive wire is parallel to the z axis and passes through the point (3, -3, 0)…

A: for our policy , i can solve only 1st question

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

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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: 100 Given the potential field in cylindrical coordinates, V = . and point P at p = 3 m, o = 60°, z =…

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

Q: H = 28 +3ŷ + 42 4 = 2H0 H2 = 8H0 H, =? The x-z plane is the boundary between two media. If the…

A: Boundary Conditions in Electromagnetics define the most common boundary conditions limited to line…

Q: Calculate the divergence of D at the point specified if a) D = (1/2) [10xyz a,+ 5x'z a,+ 2z a,], at…

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Q: (i) Find the distance between P (2, T/6, 0) and Q (1,7,2). (ii) Find the surface area of a sphere of…

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Q: 6.7 In cylindrical coordinates, V = 0 at p = 2 m and V = 60 V at p = 5 m due to charge 10…

A: GIVEN:               (1)    V=0 at p=2m                      V=60V at p=5m…

Q: D6.6. Find |E| at P(3, 1, 2) in rectangular coordinates for the field of: (a) two coaxial conducting…

A: Given data:

Q: Q4. For F = xyʻaz + yz²ay – xʻzaz, use divergence theorem to evaluate JJ, F. dS where S is the…

A: The function are given as F=xy2 ax^ +yz2 ay^ -x2z az^ From Divergence theorem ∬s F→.dS→=∭∇·F→dV Here…

Q: 3. Region 1 (z 0) is characterized by &r2 = 4. Let E, = -30a, + 50a, + 70a, V/m, find: а) Е2. b) D2…

A: Given

Q: Let E = 2{[(x+1)^2][(y+2)^2][(z+3)^3]} V in free space. At P(2,-1,4). Find V, E, |E|, D, |D|.

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Q: 5. In the region of free space that includes the volume 2<x, y, z <3, D =. 2 (yza, + xza, -2xya.)…

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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: 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: Q1(group A) The electric flux density in free space is given as D = 2x2 āx + 2?āZ c/m2. Evaluate…

A: By divergence theorem , Surface integral of the vector field over the surface is same as volume…

Q: 4. The parallel plate transmission line shown in the Fig. has dimensions b = 4 cm and d = 8 mm,…

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Q: 3.19 i A spherical surface of radius 3 mm is centered at P(4, 1, 5) in free space. Let C/m². Use the…

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.