If the vector current density J = 10p²za, – 4p cos² Ø a, mA/m?: (a) find the current density at P(p = 3, Ø = 30°, z = 2); (b) determine the total current flowing outward through the circular band p = 3, 0 < Ø < 2n, 2 < z < 2.8. Ans. 180a, – 9a, mA/m²; 3.26 A

Q: In free space, B = 20 sin? pa, Wb/m?. Determine the magnetic flux crossing the strip %3D z = 0, 1…

A:

Q: DA line of chorge with uniform density Pe =4(MC/m) exists in air along the 2 axis between 2-0 ond…

A: The electric field due to any point charge at a point kept at distance r from the charge is E=KQr2 ,…

Q: 1. 4.6 An electric field in free space is given as E = xax + 4zay + 4ya₂. Given V(1, 1, 1) = 10 V,…

A:

Q: Q4\ Find the total charge in the cylindrical system if p,= pz² nC/m, if p=3 and 0 <z < 5.

A: It is given that: ρs=ρz2 nCmif ρ=3 and 0&lt;z&lt;5

Q: For the field H = 4x2y ay A/m  ,determine the magnitude (absolute value) of the current flowing the…

A:

Q: The center of a dielectric sphere of radius r=2m is coincident with the origin. There is a P Po(3aag…

A: We will use following formula to find volume charge density  Volume charge density = -divergence of…

Q: Find the curl of each and evaluate at the given point. [2.x.z] a) A=-.z -x.y] [7.cos(0) sin(e) Z b)…

A:

Q: 1.30P) Calculate and plot the Electric field everywhere for volume charge distribution of p = Cr" ;…

A: Consider, the cylinder of length l the cylinder of radius r Assume the gaussian surface r&lt;&lt;a…

Q: A line with uniform charge density PL is in the upper half of the charge xy-plane, a half of radius…

A:

Q: Q3) Evaluate each sides of Stokes theorem for . <4 1050 (2T a region Z=0, OK KY if H = 31 a&

A: We need to evaluate each side of Stoke's theorem for a region z=0, 0≤ρ≤4 , 0≤ϕ≤2π , if H=3ρ aϕ.…

Q: If an electric field is defined as (28- V). determine its line integral around the perimeter of the…

A: Given electric field is -

Q: 6) Two extensive homogenous isotropic dielectrics meet on plane z=0. For z 0, ɛr2 = 3. a) A uniform…

A: According to our expert policy only first three subparts are to be answered.kindly repost the…

Q: The vector potential of a magnetic dipole is given by Ho m sin 0 r2 A(r, 0) = %3D where m is…

A:

Q: 3. Given point P = (-2, 6, 3). Express P in cylindrical and spherical co-ordinates.

A:

Q: A conductive loop on the x-y plane is bounded by p = 2.0 cm, p = 6.0 cm, D = 0° and = 90°. 1.5 A of…

A:

Q: The plane interface between two dielectric is given by 2x+3z-4 for source-free medium. On the side…

A: We need to find out the normal vector for the given surface .

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: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=/y) & the…

A: Volume of Solid - Case-1. About revolution x-axis. y=f(x)Volume=∫abπy2dx=∫abπy.ydx The volume of…

Q: A conductive loop on the x-y plane is bounded by p = 2.0 cm, p = 6.0 cm, = 0° and = 90°. 1.5 A of…

A: Solution   The straight line segments "a-b", do not contribute to the magnetic field at the origin,…

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: * In spherical Cordinates, E= 2 the potential atouny pont, using the redPrences (a) Vzs arv/. find…

A: The potential at any point is determined as shown below

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

A:

Q: 10. Given a charge distribution with density px = 5r C/m³ in spherical coordinates, use Gauss Law to…

A: Given, charge distribution density, ρ=5rC/m3

Q: The plane interface between two dielectric is given by 2x+3z-4 for source-free medium. On the side…

A: We need to find out the normal vector for given surface .

Q: 16. What is wrong with the following "proof" that there are no magnetic fields? By electromagnetic…

A: Given: By electromagnetic theory, ∇B=0 and B=∇×A Using them,∫∫∫∇.B dT=0=∬B.n dσ (Divergence theorem)…

Q: Q4) Evaluate both sides of divergence theorem for the field D-2r ar +(4/sin@)a@ and a sphere of r-3…

A:

Q: Evaluate both sides of the divergence theorem for the field D=y2ax+3xyay c/m2 and rectangular…

A:

Q: 2. The electric fields from three coherent sources are described by E=Eo sin wi, E2 =E0 sin(wr+ ),…

A:

Q: Q4) Evaluate both sides of divergence theorem for the field D-2r ar +(4/sine)ae and a sphere ofr3…

A: Following vector identities to evaluate divergence theorem ar.ar =1 , ar.atheta=0 and aphi.atheta=0…

Q: 4. Find the current density for the given magnetic field intensity H = 2xy âx + (x2-z²)ây – 3xz2 â,…

A:

Q: 2-) If E=R200 (V/m) at the surface of a 10cm condlucting sphere centered cnt the origin, what is the…

A:

Q: Find the potiential at the point A(14, 121°, 116°) by assuming the electric field is E = 161 aR for…

A:

Q: A non-uniform line charge of PL = x2 [nC/m], is located on the x-axis from 10,1-19 bms x = -4 to 4.…

A:

Q: - in a two-layer uniform changing field electrode system separated by the boundary plane x=0, the…

A: We will boundary conditions to find tangential component of electric field. Tangential component of…

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: Q13. If D = 20p² a, nC/m² find the total charge enclosed by the cylindrical closed surface p = 3 m,…

A:

Q: If D = 20p2 ae nC/m2 find the total charge enclosed by the cylindrical closed surface p 2 m, and…

A: Given that  D=20ρ2 aρ nC/m2ρ=2 mz=0 to 3m Formula for charged enclosed by cylindrical surface is…