a cartesian 3ystem, ve ctor mugnetic otential at a Point ( xy,z) is de finds 2. A = 4xyaX +242xay-3xyZ9z w6/m %3D The mogneiC filux density at point (oo,0) will be

Q: Q2. Given K,- 300 mA/m at p-I cm, K-150 mA/m at p-2 cm, and K,-210 mA/m at p = 3 cm all of them…

A: The given data's are, K1=300 mA/m at ρ=1 cm, K2=-150 mA/m at ρ=2 cm, K3=-210 mA/m at ρ=3 cm. From…

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

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Q: In cylindrical coordinates, let pe =0 forp 1.5 mm. Find D %3D evervwhere

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Q: Q6. Given that, E(R,0,6)=(R'e*)âp +(e* cos tanø)â, + cos øâ, and S is the closed surface of a sphere…

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Q: A perfecty cenducting plane in locatl in free space at X=4 and aunitorm infiaite bire chapge ef 40…

A: Please refer the attached images for the complete answer..

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: point D(-4,5,3) and A ya, + (x+ z)z āy, express the D and A in: %3D

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Q: Let V(x, y) = 4e²* +f(x) – 3y² in a region of free space where p, = 0. It is known that both Ex and…

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Q: Q4) A current filament carrying 10 A in the a, direction lies along the entire z axis, Find H (in…

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Q: certain region of spaceI in cylindiricol Pv = brer cc Im³ the clonge density coordino tes by the…

A: Here we have to find out charge density . We need to apply Gauss law . We also have to calculate…

Q: Two conducting cylinders at p = 2 cm and p = 8 cm in free space are held at potentials of 60 mV and…

A: We will use laplacian equation to find Electric field at 0.06 m. ∇2V = 0

Q: The center of a dielectric sphere of radius r=4 m is coincident with the origin. There is a P = Po…

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Q: D2.6. Three infinite uniform sheets of charge are located in free space as follows: 3 nC/m2 at z -4,…

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Q: Let D = 2xyā, + 2(x² + z²)āy + 4yzä, C/m² and evaluate surface integrals to find the %3D

A: Electric field lines are zero inside the perfect conductor. And permittivity of medium is8.854x10-14…

Q: Quèstion 6 Two conducting cylinders at p = 2 cm and p= 8 cm in free space are held at potentials of…

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Q: Given the potential field in cylindrical coordinates, V = [100/(z² + 1)]p cos Ø V and point P at p =…

A: As per Bartleby guidelines we are allowed to solve only three subparts,please ask the rest again.

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: Q6. Given that, E (R,0,6) = (R'e*)âg +(e* cos" tan ø)â, + cos øâ, and S is the closed surface of a…

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Q: · Given that, in free space E = Em sin (wt-ßz) ây. Find B, and Ja. Then show that D. (V × H)=0. %3D

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Q: (s)=s4+2s3+3s2+20s+5. Find: Number of poles in the left-half plane? Number of poles in the…

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Q: (d) Trausform to cylindrical coordinates: (1)F - 106, - Bà, + 68, nt poínt P(10, -8,6) and (ü)G =…

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Q: h,0,0 H.W: An infinite disk has a hole its center is at origin on (xy) plane of radius (a ). Find…

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Q: An clectric field is expressed in rectangular coordinates by E = 6x²a, + 6ya, +4a, V/m. Find: (a)…

A: We need to find potential due to given electric field .

Q: In a source-free vacuum region, H = - cos(wt – 3z)a, A/m (a) Express H in phasor form. (b) Find the…

A: Given, In a source-free vacuum region, H=1ρcosωt-3zaϕ A/m To find:  (a) Express H in phasor form.…

Q: Q3) Evaluate both sides of divergence theorem if D= 3pZ² ap +3Z a and a cylinder: p=2m, (0≤Z≤5) m,…

A: We need to prove divergence Theorm for given function .

Q: (a) An infinite filament on the z-axis carries 20n mA in the a, direction. Three uniform cylindrical…

A: We will find out the magnetic field at given point due to the given current distribution

Q: Converting the point (√2, √2, √2) in cartesian to cylindrical coordinates yields: O4, π/4, √2 O2,…

A: Given points in Cartesian co-ordinates, x, y, z=2, 2, 2

Q: 3.11 In cylindrical coordinates, let p 0 for p 1.5 mm. Find D everywhere. Pu %3D

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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: D.3.5: Spheres r=2,4,6 m , p,=100,-30,6 µC/m?. find Dat r=1m,3m,5m,8m 30 Cin 100 Cim 42 6.

A: Solution :-  As per gauss law the flux coming out of a closed surface is equal to the charge…

Q: If H = 4a, 3a, + 5a,, at (I, a/2, 0) the component of H parallel to surface p = I is %3D (a) 4a, (b)…

A: Consider the cartesian form. x=ρcosϕy=sinϕz=0 Also, xcosπ2=0ρsinπ2=1

Q: a. Cylindrical coordinate at P(p= 2, q = 30°, z = -1) b. Spherical coordinate at Q(r 2.5, 0= 30°, o=…

A: In this question , vector is given in Cartesian coordinate ...We have to transfer it in cylindrical…

Q: If D = 5p2 a, nC/m² find the total char the cylindrical closed surface p = 4 m, a 540t 3840Tt 480t…

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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: (a) Convert points P(1, 3, 5), T(0, -4, 3), and S(-3, -4, -10) from Cartesian to cylindrical and…

A: The solution is given below

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: Q8- In free space, V = xy(z + 3) V. Find (a) E at (3, 4, -6)

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

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Q: PRACTICE. In free space, H = 0.2 cos (wt - Bx) a. A/m. Find the total power passing through: A…

A: The solution can be achieved as follows.

Q: نقطتان )2( * Choose the correct answer If H 4a, - 3a, + 5a, at (1, x/2, 0) the component of H…

A: As we have given: H=4aρ-3aϕ+5azρ,ϕ,z=1,π2,0

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

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Q: b) Given that, in free space E = Em sin (wt-Bz) ây. Find D, B, and Ja. Then show that V.(V × H)=0.

A: Given electric field in free space E=Em sin(wt-βz) a^y

Q: IN ANY Z = CONSTANT PLANE. DERIVE THE PROBLEM # 5 IN CYLINDRICAL COORDINATES WITH THE DIFFERENTIAL…

A: The cartesian coordinate system consists of three coordinate representation of a given point inside…

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

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Q: D6.5. Calculate numerical values for V and p, at pointP in free space if: 4yz (а) V at P(1, 2, 3);…

A: Here, we first use the given potential function to calculate the potential at the given point. Then,…

Q: For the semicircle line charge of (p, C/m) and radius (R m ) on (xy- plane) and its center is at…

A: Electric field intensity E → for semicircular ring E →=-Q4π εoa2 ar→ V/ma Origin  E →=0 V/m

Q: Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2), Find the distance from:(a) A to…

A: Give thatAx=2,y=3,z=-1Bρ=4,ϕ=-50,z=2

Q: d) Trausform to cylindrical coordinates: (1)F - 100, - Bả, + 6ô, nt point P(10, -8, 6) and (ü)G =…

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Q: Q3) Evaluate both sides of divergence theorem if D= 3pZ2 ap + 3Z a and a cylinder: p=2m, (0<Z< 5)m,…

A: We need to find out the both side of divergence Theorm.

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.