Q1. We have an electric Flux density D = 0.3² r nC/m² in free space. Find the total flux leaving the sphere r=4. Q2. We have a uniform line charge distribution ez lying along the z axis with infinite length. Use Cylindrical Coordinates to calculate D and E in free space.

Q: A- A charged particle causes an electric flux of -750 N.m2/C to pass through a spherical Gaussian…

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Q: 1. A 30 cm long thin-walled cylinder of radius R = 3.5 cm, has charge of 1 x 10-8 C uniformly spread…

A: Given: The length of the cylinder is l = 30 cm The radius of the cylinder is R = 3.5 cm The charge…

Q: If the linear charge density of a circular ring of radius R that is placed in the xy -plane and…

A: (a) The charge per unit length is called linear charge density and the charge per unit volume is…

Q: 1. Consider the uniform electric field E = (4300 ĵ+ 2800 k) What is its electric flux through a…

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Q: A sphere of radius R₁ = 0.250 m and uniform charge density -70.5 μC/m³ lies at the center of a…

A: Solution:-Given thatR1=0.25 mUniform charge density (ρ)=-70.5 μC/m3R2=0.608 mR3=0.735 m

Q: 2c. An infinite sheet charge with a uniform surface charge density exists in space. A cylindrical…

A: Given: The radius of the circular cross-section is 0.450 m. The length of the cylinder is 0.980 m.…

Q: 2. In free space, let D = 8xyz*āz + 6x²z*ãy + 16x²yz*a, pC/m². a. Find the total electric flux…

A: The electric displacement is given as, D→=8xyz4a→x+6x2z4a→y+16x2yz3a→z pC/m2. The rectangular…

Q: A spherically symmetric charge distribution produces an electric field E = (6250 r2) r N/C (here r…

A: Given:Electric field, E = 6250 r2 r^ N/Cdiameter, d = 34 cm = 0.34 m

Q: 2. A very long line of charge has a uniform linear charge density +1 and is surrounded by a neutral…

A: (a)

Q: A cone is as shown in the figure with its face is in the xy-plane. A uniform electric field of…

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Q: A line of charge with linear charge density, A, lies on the z axis over the range -L/2 L/2. b.…

A: (a) Let us consider a small charge element 'dz' on the line of charge. The charge of this segment is…

Q: here shows a Gaussian rectangular of si ectric field E that has the positive directic

A: Apply formula of electric flux and Gauss law

Q: A charge of 25.1 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second…

A: Two uniformly charged and concentric spherical shells with the following details: Inner Shell:…

Q: A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface…

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Q: a. Calculate the net enclosed charge by the Gaussian surface of radius r=20m. b. Electric field at…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A thin spherical shell of radius R is charged with a non-uniform surface density according to o(0) =…

A: Given:                          σ(θ)=σ0sin(θ) it is along z-axis and…

Q: 3. Figure shows two hollow, concentric, spherical shells are covered with charge. The inner sphere…

A: Given: Two concentric hollow spherical shells            Radius of inner shell is Ri and have…

Q: What is the electric field strength at r = 17 cm?

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Q: 1. A spherical region of space of radius 0.1 m has a volumetric charge density p₂ = kr² where k = 4…

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Q: 2. The figure shows two parallel nonconducting rings with their central axes along a common line.…

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Q: of charge in the y-z plane with uniform charge density p, and radius b, and then evaluate E for the…

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Q: A flat circular loop of with radius R lies in the xy-plane centered at the origin. Its linear charge…

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Q: A very long cylinder of radius 2b with a co-axial cylindrical hole of radius b. (Co-axial means the…

A: According to Gauss' law for electrostatics, the net electric flux going through a closed surface is…

Q: A nonuniform, but spherically symmetric, distribution of charge has a charge density P(r) given as…

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Q: A Gaussian surface has the form of a tetrahedron, a four-sided object where all four sides are…

A: We will answer the question using Gauss's law. The details are as follows.

Q: 4. An insulating spherical shell of radius inner radius A and outer radius B, has a non- uniform…

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Q: Consider the uniform electric field 1.77i + 4.64j N/C. What is its electric flux through a circular…

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Q: A hollow conducting spherical shell, with an inner radius a and an outer radius b, has a total net…

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Q: 2. Find the electric field a distance from the center of a spherical surface of radius R (see figure…

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Q: A uniform electric feild that has magnitude E is applied parallel to the axis of a hollow half a…

A: Given: The strength of the electric field is E. The radius of the spehre is r.

Q: A spherical shell of radius 1.70 m contains a single charged particle with q = 71.0 nC at its…

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Q: A solid insulating sphere with radius R carries electric charge which is non-uniformly distributed…

A: Given ρ=αrSo charge distribution is nonuniform.As per Gauss's law∮E.dA=qenc∈0

Q: 1. Charge, Q= 2.20nC is uniformly distributed along the thin rod of length, L= 1.20m shown below.…

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

Q: Determine the magnitude

A: Given data: First charge q1=25.9 pC Radius r1=2.0 cm Second charge q2=11pC Radius r2=4.0 cm Distance…

Q: 6. A conducting, hollow, cylinder (aka, a tube) of inner radius a and outer radius b is initially…

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

Q: 2. A charge Q is uniformly distributed over a rod of length 1. Consider a hypothetical cube of edge…

A: Charge is Q. Length of rod is l. Edge length of the cube is also l. It is mentioned that centre of…

Q: Find the electric field a distance z from the center of a spherical surface of radius R (see figure…

A: Solution: Given that the sphere has a uniform charge density. Let us consider a sphere of radius z,…

Q: a) Please explain Gauss and Coulomb law in detail. b. A uniformly distributed charge on the sphere…

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Q: P12.20 A cube of side L is placed with its three sides parallel to the Cartesian coordinate axes and…

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Q: 2. In free space, let D = 8xyz*a, + 6x²z*ã, + 16x²yz'a, pC/m². a. Find the total electric flux…

A: Given:  D→=8xyz4ax→+6x2z4ay→+16x2yz3az→ pC/m2Finda) Total electric flux.b) E→ at P(2,-1,3)c) Total…

Q: Let pv (1x+3y³+3z2)C/m³ in cubical region; 1 < x, y, z <7 mm and pv = 0 outside the cube. a. What is…

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