5. Given a vector field A =r ar + z az • Find the total outward flux over a circular cylinder around the z-axis with a radius 2 and a height 4 centered at origin • Find the divergence of A (v.A) Verify the divergence theorem

Q: D. A positive charge is located above the Gaussian cylinder. • Find the sign of the flux through:…

A: From definition of flux to find the sign of flux , we need to see the angle between area vector and…

Q: Consider a closed surface S fully enclosing the point charge Q. Which of the following is true about…

A: Given Point Charge Q is fully enclosed by the surface S. We have to choose the correct option from…

Q: first three subparts

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Q: the E Fleld given region is E(x, y) :- (5-x y² - 3 x9)+1 (5 x3y);j A rectangular area parallel to…

A: Given : Electric  field E = (5xy2 - 3x5 ) i + (5x2y)j  plate is at x= 3  extends from y= -3m to y= 3…

Q: A point charge is located at the center of a thin spherical conducting shell of inner and outer…

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Q: 4- Verify the divergence theorem for the vector field A = 3p² â,+2p sin(o) â+2k for the cylinder of…

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Q: Exercise 3: y A nonuniform line charge distribution in the form of a half-circle with a radius R is…

A: We have r^=cosθi+sinθj. Since θ^ is a rotation of r^ by an angle π2, we have…

Q: z4 k across the surface S the upper hemisphere of x 2 + y 2 +z2 = 9 in the outward direction Find…

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Q: y, z) = (x. y, z²)across the boundary of

A: Given: To find the flux across the boundary as,

Q: The figure shows two concentric conducting thin spherical shells: • Sphere-A of radius RA = 17 cm…

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Q: Example 4. Consider an axisymmetric 2D flow with the velocity field kr 2) = k/127². u₂(r, z) = -kz…

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Q: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

A: An electric charge Q is distributed uniformly along a thick and enormous long conducting wire with…

Q: A rotational vector whose magnitude is the maximum circulation per unit area; as the area tends to…

A: To find out the correct option we will understand each given quantity as :- Divergence :- It…

Q: A positive point charge Q is at the center of a spherical conducting shell of an inner radius Ri and…

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Q: A neutral atom is placed 1mm away form the center of a thin, uniformly charged disk with 10cm…

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Q: Problem 1 The figure shows two concentric conducting thin spherical shells: • Sphere-A of radius RA…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…

Q: Let F be the vector field zi+xyj. Let C be the curve made up of two segments: ri(t) = (t, -2) r₂(t)…

A: So circulation of the Vector Field F along the curve C will be 0.

Q: Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the…

A: Given data:   → Net elector force on 'blue' is F  and in Y direction   Yellow sphere's…

Q: Draw a picture showing the charge distribution and the resulting electric field line pattern. If you…

A: The electric field lines are radially outward from the +Q charge. The dotted portion of the field…

Q: 5-) Given the flux density by the equation. Determine the flow through a circular cylinder with the…

A: Given: D = 20 e-ρ/b aρ - 2 z/b az The standard cylindrical coordinates are (ρ, Φ, z) ρ = 2b  0 <z…

Q: Solve for the net flux through each closed surface. -20 x 10C 3.0 x 10c (a) -3.0 x 10c 4.0 X 10c 5.0…

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Q: Determine the total charge distribution on r = b, and on r = a., explain Check if the electrical…

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Q: = +7 nC and assuming that q, is located at (0,0) Using the assigned value and position of & q2 at…

A: We will use electrostatic force formula,

Q: Find the electric field generated by q= 15nC at point (9,11,13)cm

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Q: Consider a line charge of infinite extent in the Z direction with charge density λ =λ0/(1 + ( Z/a)2)…

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Q: 9) Pictured below is an ellipse oriented counterclockwise and a vector field F[X] plotted around it.…

A: From figure, From trajectory it looks like ellipse with center (0,0)  the semi-major axis will be…

Q: The electric field intensity 2m from the surface of a charged sphere is 30.86 x10³ N/C. The charge…

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Q: •An imaginary cylnder 150 cm bng and 35cm in radus that has a with lineur cheme tensi ty X=75nclm,…

A: The length of the imaginary Gaussian cylinder is given as 150 cm. Let L denote the length of this…

Q: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

A: Let us consider a cylindrical gaussian surface to determine the electric field outside and inside…

Q: aer about the net fluex only on a qualitative arguments about the magnitade of the fha throw In the…

A: We know that the formula of the electric field is given as  ϕ= ∫E.dAϕ= qinε0 where the E is the…

Q: At a particular location in space, the electric field E is defined in cylindrical coordinates as…

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Q: Charges q = -9Q and q2 = +2Q are located at z = -a and z = +a, respectively. Part A What is the net…

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Q: QUESTION 4 Given that D = 30eaμ- 22 a₂ C/m² in cylindrical coordinates, find the outward flux…

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Q: GY 91 93 q2 94 95 The figure shows 5 loads. Out of these 5 loads, only qs is outside the Gaussian…

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Q: B. The Gaussian cylinder encloses a negative charge. (The field from part A is removed.) • Find the…

A: B) As the charge enclosed by the Gaussian cylinder is, -Qo

Q: (10%) Problem 8: An infinite solid insulating cylinder of radius R and has a uniform volume charge…

A: An infinite solid insulating cylinder of radius R and has a uniform volume charge density 1.3…

Q: 3 Consider a uniform source of particles inside a box with dx=8 cm , dy=4 cm, and dz=2 cm, centered…

A: To calculate the total flux at different distances above the origin for each source, we need to…

Q: Explain using your own reasoning why the electric field does not depend on the distance away from…

A: The tangent on a point on the electric field line shows the direction of the electric field at that…