Find IR1, IR2, IR3, IR4, IR5 using Maxwell Mesh method

Q: [Q1] A uiform plane electromagnetic wave of frequency of 1 GHz and rms electric field intensity of 1…

A: Brief description: A uniform plane wave is propagating along + z direction with having frequency of…

Q: An AM radio signal propagating in free space has E - E, sin(1200t - B2)a, H sin(1200rt – B2)a,…

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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: The transmission line has a characteristic impedance equal to 502, and it was found that the speed…

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Q: 1.viscosity of gases increases with temperature, whereas viscosity of liquid decreases with…

A: 1. Viscosity of gases increases with temperature whereas the viscosity of liquid decreases with…

Q: If ( po ) represent the pressure at the top surface of the liquid. At a point with coordinate (y) to…

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Q: Determine an expression for a_y in spherical coordinates at P(r=4,8=D0.2n rad,0=0.8t rad).

A: In this question,  We need to determine the expression of the ay component if spherical expression…

Q: Electromagnetics. A spherical surface has following range. Find volume of spherical surface.

A: Although it is known that for spherical system volume element is given by dV=r2sinθdrdθdϕHence for…

Q: Q4) Evaluate both sides of divergence theorem for the field D-2r ar +(4/sin@)a0 and a sphere of r-3…

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

Q: The region x 0 has a dielectric medium with Er2 = 3. If E₂=1 =3. If E₂ = 2ax + 3ay - 4az v/m.…

A: Boundary condition of Electric field The tangential component of the electric field remains…

Q: 3.1-1 The real electric field components at a point in a radiating aperture are Eax = 100 cos(mt)…

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Q: Q1: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i - 3j

A: According to Bartleby guidelines I have to solve only  a .if you want b ,  kindly post it…

Q: Question No. 1: Answer the following Questions: 1. Compute the polar coordinates of a) z1 = -2 - 2j…

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Q: Planes y = 3 and z -8nClm², respectively. Calculate the electric field 4 carry charges 5NC/M² and…

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Q: Maxwell's equations predict that the speed of light in free space is:  A. independent of frequency…

A: According to the given question, it is required to choose the correct answer for the below given…

Q: Given the following vectors and points, transform each to spherical coordinate system. 8ax at…

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Q: Evaluate the expression for Area of the cone using appropriate “dS” from spherical coordinate…

A: The spherical coordinates are written as r,θ,φ. The small components of length are dr , rdθ ,…

Q: The point (1,1,0) can be transformed to spherical as Select one: a. 플이 b. 4 C. TT 4' 2 d.

A: we will use following cartesian to spherical conversion formula…

Q: 4. Find the drift velocity of a 25 um particulate in an ESP whose collecting and charging field…

A: Drift velocity of the particulate in an ESP is calculated as shown below

Q: In a medium characterized by o = 0, u = Hor Eo, and %3D E 20 sig(10°t - Bz) a, V/m calculate 8 and…

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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 prove divergence Theorm for given function .

Q: Distance between two points P (x = -2, y = 3, z = -1) and Q(ρ = 4, φ =-50 , z=2)

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Q: Electromagnetics: - Give the rectangular coordinates of the point C (ρ = 4.4, φ = −115◦, z = 2).

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Q: 21 The plane z = 0 defines the boundary between two dielectrics. For z 0, e2 = 3, e2= 0, and µ2 =…

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Q: 3 mm has conducting plates An air-filled planar line with w = with o, = 7 x 10' S/m. Calculate 30…

A: Wave is function of space and time. The mode at which waveguide have lowest frequency is said to be…

Q: Electromagnetics: - Give the cylindrical coordinates of the point D (x = −3.1, y = 2.6, z = −3).

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Q: 4. At point T(2,3,-4), express az in the spherical system and ar in the rectangular system.

A: As per our guidelines we are supposed to be answer only the first question. Kindly repost the other…

Q: In a medium characterized by σ = 0, μ = μo, ε = 4εo, and…

A: Given- Electric field, E = 20 sin(108t − βz)ay V/m Medium characterized  σ = 0, μ = μo, ε = 4εo To…

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

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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: Given is the spherical coordinates for pt. G (√56, 57.688°,288.435°). Which is the cartesian…

A: The solution is given below

Q: Q2: Evaluate both sides of divergence theorem for the field (D) based on the region (p = 2), (0< 0<…

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Q: In a certain medium, E = 10 cos (10°t -3y) ax V/m. What type of medium is it? (a) Free space (b)…

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Q: Find H at (- 3 ,4, 0) due to 3A filamentary current directed inward from infinity to the origin on…

A: Given, Point is (-3, 4, 0) Current I=3 A

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

A: The divergence operator is used by the Gauss divergence theorem to transform surface to volume…

Q: Q1: Answer the following sentences with (True) or (False) then correct the false sentences: 1- When…

A: We need to tell about whether the given statement is true or false.

Q: 4) For the circuit shown in Fig. (4), sketch on the same graph the signals at the sending end and at…

A: Given the transmission line as shown below: We need to sketch on the same graph the signals at the…

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: Region 1 (z 0) is characterized by ɛr2 = 1. Let E, = -30a, + 50a, + 70a, V/m, then electric field…

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Q: 1. Point charges ql and q2 are held in place at the (x,y) coordinates specified below. Point P is a…

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Q: 10 Q5. Express -âg +RcosOâ, + â, in Cartesian coordinate system? Find Ē at (-3, 4, 0)? R

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Q: Given two fields in spherical coordinates, E = (A/r) sin 0 ag and H = (B/r) sin 0 a, (a) evaluate S…

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Q: Point charges q1 and q2 are held in place at the (x,y) coordinates specified below. Point P is a…

A: Given q1 =2.778 nC q2 = 1nC   1) To find electric field at point P 2) To find angle of resultant…

Q: According to the figure, since r=-0,75, k=6,4, E = 19, 06 ( @ medium boundary) and incident electric…

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Q: I. Solve for the x, y, and, z magnitudes of electric field for the given instances below. 1. q 4nC…

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Q: he phasor fields of a uniform plane wave of angular frequency w = 1.6 x 10° (rad/sec) in a…

A: Dear student as per our guidelines we are supposed to solve only one question in which it should…

Q: An air-filled coaxial line with e=₁ and µ-u, has a line inductance L'=(1/54)µH/m. What is the line…

A: We need to find out the capacitance of co axial cable

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.

Gradient of a Scalar Field

Consider a room or a place where the temperature is denoted by a scalar field T, such that at each point (x, y, z), the temperature is given as T(x, y, z). It is independent of time, in which the temperature rises most quickly. The gradient of T will show the direction at that point by moving away from (x, y, z). How far will the rise in temperature in that direction be determined by the gradient magnitude? Consider a surface that has a height above sea level at point (x, y) which is given by H(x, y). At that point, pointing in the direction of the steepest slope or grade is the gradient of H. The magnitude of the gradient of the vector gives the steepness of the slope at that point. How a scalar field changes in another direction can be measured by the gradient by taking a dot product rather than just the direction of the greatest change?