Ex:- a- find the general from of the equation for the stream lines of the field E = 10 xy āx +5x2ay %3D b- Sprcify the direction of E at (2,3, -5)

Q: Considering the given vectors D = yzax + czay + ryaz and E = 5xyax + 6xay + 8zaz Calculate C = D+E…

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Q: 7.1. Let V= 2rys and e= . Given point P(1,2,-1), find: a) V at P. Substituting the coordinates into…

A: Electric field intensity =∇V volume charge density=∇·D

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

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Q: distance between the point (21210) Find the and the line of intersection of the two Planes and y-z=\…

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Q: Q6. The integral of vector A = tP cos pa,+ 22 a, COS Over the side of cylinder specified by 0<Z< 2,…

A: Given :

Q: The directional derivative of f (x, y, z) = 4e²2 - y+z at the point (1, 1, –1) in the direction…

A: Given: Function fx,y,z=4e2x-y+z

Q: The displacement vector is D= 6 âz+ 8 ây+ 8 â, in the region y>5 with the dielectric constant e = 7.…

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Q: The displacement vector is D = 6 â,+ 8 â,+ 8 â, in the region y>5 with the dielectric constant e =…

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Q: Knowing that V=2xy+20z- 4 In (x?y)v in free space, determine values at P(6,-2:s,3) for @ v, DE, ©…

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Q: Q4) Find the area of the region bounded by the lines (y=x), (y=2-x) &(x=1).

A: Given three lines

Q: A uniform line with pL = 5µC/m lies along the x-axis. Find D at (3,2,1) m. %3D

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Q: uE VI HIU SUrvamune unrough P(4, 2, 1) Q3: For A 2x ax + yay+ 2zaz and B = 1x äx +2y ãy +/2z äz,…

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Q: с. Explain the significant physical difference between Poisson's and Laplace's equation? d. Find…

A: Electromagnetic theory

Q: A vector is specified as G = 24xya, + 12(x2 + 2)a, + 18z2a, Given two points P(1,2, -1) and…

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Q: Q2. Transfer vector D = ya, + za, to the (a) or (b) a. Cylindrical coordinate at P(p= 2, p = 60°, z…

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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: Ex - Krnowing that V=2xy+20 z-4 In(x4y3v in free space, determine values at P(6,-2-5,3) for @ v ,…

A: Electric field intensity-  Electric field intensity is the force per unit charge when a charge is…

Q: A vector of magnitude 10 points from (5,5Tt/4,0) in cylindrical coordinates toward the origin.…

A: The solution is given below

Q: Given the scalar field defined by Ø(x, y, z) = 4y2° + 3xyz – 2 + 2 Find: - Match each item to a…

A: We need to find out value of function for given x, y, z .

Q: (5,3 , 0) to (5,, 10) in cylindrical coordinate? Ans: 10/2 Qi: Find the distance between

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

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Q: 2. Transform the ff. vectors to spherical coordinates at the points given a) 10ay at Q(p = 5, p =…

A: Given  A vector.we need to convert into spherical coordinates. Please find the below attachment for…

Q: (a) Give the rectangular coordinates of the point C(p = 4.4,0 = -115°, z = 2). (b) Give the…

A: (a) cylindrical to rectangular coordinatex=ρcosϕ,y=ρsinϕ,z=zsubstitute the given…

Q: Electric field intensity vector in free space is given as E= 20ze-/0.21. Find the value of E and H…

A: According to the question we have to find the value of E and H.

Q: A vector of magnitude 10 points from (5, 57 0) in cylindrical coordinates 4 toward the origin.…

A: First calculate given point in cartesian coordinates and then find vector representation from that…

Q: Q2. Transfer vector D = ya, + za, to the (a) or (b) a. Cylindrical coordinate at P(p = 2, 9 = 60°, z…

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Q: Let V = 6xy?z3 + 5 In(x? + y? + 3z?)V in free space. Evaluate each of the following quantities at…

A: Brief description: In the above given question they have mentioned a scalar field of the potential.…

Q: (d) Trausform to cylindrical coordinates: (1)F - 106, - Bả, + 6ô, nt point P(10, -8,6) and (i)G =…

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

A: The divergence theorem states that the surface integral of the normal component of a vector point…

Q: If a current density Jv = 5pa, A/m² : radius 0.25 m, find the vectorial H in each region. passes…

A: If a current density J= 5ρ az  A/m2   Cylinder of radius ρ= 0.25 m Find the H?  We are solving this…

Q: 25. Can you determine electric field E at (210, 550, 765) due to a possible vector potential, V =…

A: here given potential is a vector quantity. if we apply del operator on it to find electric field…

Q: In free space, V = 6xy<z + 8. pv at At point P (-1, 1, 1) %3D

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Q: V is given by V = 50x²yz + 20y² in the free space, find (a) V.

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Q: Q4) evaluate both sides of the divergence theorem for the field; 50r²a, in the region (0 <r <3), (0…

A: Since you are asking 2 questions we will answer the 2 one   By divergence theorem  surface…

Q: Q2. Transfer vector C = xa, + ya, to the (a) or (b) a Cylindrical coordinate at Pp= 2. e= 30, z=-1)…

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Q: Can you determine electric field  at (210, 550, 765) due to a possible vector potential, V = (5x2 )…

A: The given vector potential is: V = 5x2 + 2y2 + 4Z2 So, the electric field is given by:

Q: .. Given the field D = 6p sin o a, + 1.5p cos to a, C/m2, evaluate both sides of the divergence…

A: The solution can be achieved as follows.

Q: Given that D= (10r3/4 ) ar (c/m2) in cylindrical coordinates, evaluate both sides of the divergence…

A: We need to prove the divergence theorem for the given coordinates.

Q: Let V = 2xyz and = o. Given point P(1, 1, -2), find. (a) V at P; (b) E at

A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost the other…

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: A unit normal vector from region 2 (u = 2µ.) to region 1 (u = Ho) is an21 (6a. + 2a, - 3a)/7. If H,…

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

Q: 3. Let V = 6xy z +5 In(x? + y? +3z?)V in free space. Evaluate each of the following quantities at…

A: In this question we will find electric potential , field , electric flux density....

Q: Evaluate both sides of the divergence theorem given the field D = 6p sin($/2) a, + 1.5p cos(/2) as…

A: The field is given as, D→=6ρsinϕ2 aρ+1.5ρcosϕ2aϕ=Dρaρ+Dϕaϕ and the divergence in cylindrical…

Q: Given vectors A 2а, + 4а, + 10а, and B -5а, + a, 3a,, find %3D The angle between A and B at P P(0,…

A: This question belongs to electro magnetic field theory .  It is based on calculation of angle…

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

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Q: 5. (a) Obtain the length of the distance vector from point P(2, n/2, 3n/4) to Q(10, 7/4, n/2) (b)…

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Q: 1) Express point P(-2, 6, 3) in cylindrical and spherical coordinates. 2) Express vector A = 2.467a,…

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Q: 1) Given vector A = 6a, + ay, express A in cylindrical and spherical base vectors.

A: Note: As per the policy we can solve only one question, please re-upload the remaining question as a…

Q: The region R < a in spherical coordinates has an electric field intensity of R = - Examine both…

A: We need to prove the divergence Theorm .

Coulomb’s Law

Coulomb's law states that the attraction or repulsion force between two charged things is proportional to the product of their charges and inversely proportional to the square of their distance. It has an effect along the line that connects the two-point charges.