Drill problems [1]: D3.3. Given the electric flux density, D = 0.3r²a, nC/m2 in free space: (a) find E at point P(r = 2, 0 = 25°, = 90°); (b) find the total charge within the sphere r = 3; (c) find the total electric flux leaving the sphere r = 4. Ans. 135.5a, V/m; 305 nC; 965 nC

Q: Q2: Select the correct answer: A: The Gaussian surface is: i) A closed surface. B: The rate of…

A: As per company guidelines we are supposed to answer only one question. due to questions are…

Q: Four point charges Q1 =1nc at (4,2,0), Q2=2nc at (-4,2,0), Q3=3nc at(4,-2,0), Q=4nc at(-4,-2,0).…

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Q: Q/Find the electric field intensity at the point (P) due to a uniform line charge (ρL) lying along…

A: To find the electric field intensity at a point P due to uniform line charge

Q: D3.2. Calculate D in rectangular coordinates at point P(2, -3, 6) produced by: (a) a point charge QA…

A: We will find out the charge flux density due point charge and line charge density and surface charge…

Q: D3.2. Calculate D in rectangular coordinates at point P(2.-3. 6) produced by: (a) a point charge Q4…

A: The solution can be achieved as follows.

Q: 3- Charge Q1 is uniformly distributed over a thin spherical shell of radius a, and charge Q2 is…

A: According to Gauss law, electric flux enclosed by a closed surface is equal the total charge present…

Q: Charge is distributed uniformly along a straight line of finite length(2K) Show that for two…

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Q: A circular disk of radius a is uniformly charged with ps C/m². The disk lies on the z = 0 plane with…

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Q: Coaxial cable R A long coaxial cable carries a uniform (positive) surface charge density ơi = 5…

A: Solution     a)      Assume the cylinder has a length L                         Qin=(2πR1)Lσ1…

Q: D3.1. Given a 60-uC point charge located at the origin, find the total electric flux passing…

A: The solution can be achieved as follows.

Q: q = 18X106 C Consider two hollow conducting spheres. Inner radius of the first sphere, a=4.0 m and…

A: Given data: q=18×106 C Net radius of inner sphere = r = (4+16)/2 = 10 m R = 20 m (a) Charge…

Q: Four point charges Q1 =1nc at (2,1,0), Q2=2nc at (- 2,1,0), Q3=3nc at(2,-1,0), Q4=4nc at(-2,-1,0).…

A: We have given the four point charges as follows Q1=1nc at (2,1,0) Q2=2nc at (-2,1,0) Q3=3nc at…

Q: A uniform electric field of magnitude 340 V/m is directed in the negative y direction as shown in…

A: Here electric field is given distance is given we have to find potential dofference

Q: A uniform line charge density of 5 nC/m is at y = 0, Z = 2m in frees pace, while -5 nC/m is located…

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Q: D3.6. In free space, let D = 8xyz*a, +4x²z*a,+16x²yz'a, pC/m2. (a) Find the total electric flux…

A: Given Data: D = 8xyz4ax+4x2z4ay+16x2yz3az pC/mz=2 0 < x < 21 < y < 3

Q: 3.22 i (a) A flux density field is given as F1 = 5a:. Evaluate the outward flux of F1 through the…

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Q: Q12. A circular disk of radius 5m has surface charge density ps = 3P, where 0<p<5m is the distance…

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Q: Q3) Calculate the total electric flux leaving cubical surface formed by the six plans x, y, z=5 if…

A: According to the question we have to find (a) two point charges 0.1 μC at (1,-2,3) and 0.0142 μC at…

Q: EX Let D= 20r'ari O What is the volume charge density (Su) at the point plo.5,60, 2)? . BUse two…

A: Part(a): Given, D→=20r2 ar⏞Volume charge density is,ρv=∇→.D→∇→.D→=1ρ∂∂ρρ…

Q: Question 2 A circular disk of radius a is uniformly charged with ps C/m2 plane with its axis along…

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Q: A perfectly conducting hemisphere of radius a is placed on an infinitely large ground plane. A…

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Q: Consider two spherically charged system in Figure Q1d, with a = 2 m, b = 4 m and c d) = 6 m. Solve…

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Q: D3.2. Calculate D in rectangular coordinates at point P(2,-3, 6) producedby: (a) a point charge QA =…

A: Given Data: P(2,-3,6) Q(-2,3,-6) z = -5 m

Q: Q1: Point charge 60 nC at point (2,-5,6) in free space. Calculate the potential at point P( 3,-4,5)…

A: Consider the given values, Represent the point charge in free space with the given coordinates.

Q: Calculate E at point P(2,-3,6) produced by a point charge QA = 55 mC at Q(-2,3,-6); a uniform line…

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Q: (i) Show that the electric field intensity, E at (0, 0, h) in cylindrical coordinates due to…

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Q: TT=3,1416, €o = · 10-9 36 Two infinite insulated conducting planes maintained at potentials 0 Volts…

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Q: 3.22 i (a) A flux density field is given as F1 = 5a;. Evaluate the outward flux of F1 through the…

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Q: Q2) a) an infinit line charge pL=20nc/m along z axis in free space, find the work done on a point…

A: Given data: ρL=20 nC/mQ=10 nCρ=2 mV1=3 VP1=0,2,2P2=3,6,0Q2=2 μC

Q: A point charge Qo located at the origin in free space produces a field whEeh= 1 kV/m at point P (-2,…

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Q: Q2) Calculate the total capacitance of a unit (2 length coaxial cable with outer diameter of 24 mm…

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Q: PROBLEM 2 Calculate the electric field intensity at M (3, -4, 2) in free space caused by a) charge…

A: We know direct formula for electric field at a particular point due to point charge .

Q: Drill problems [1] D3.1. Given a 60-µC point charge located at the origin, find the total electric…

A: GivenQ=60 μClocation of charge is at originar=26 cm 0&lt;θ&lt;π2                        0&lt;ϕ&lt;π2

Q: Calculate D in rectangular coordinates at point P(2,-3,6) produce by: (a) a point charge QA=55 mC…

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Q: Determine the electric flux density D and its magnitude at (4, 0, 0) in Cartesian coordinate system…

A: We need to find out the electric field due  to line and surface at given point .

Q: Consider a point charge 3Q is located at the origin. Divergence of the electric flux density…

A: Electric flux density is vector quantity.

Q: D3.1. Given a 60-uC point charge located at the origin, find the total electric flux passing…

A: Given:    point charge  60 μC  at origin    Electric flux  i) r=26 cm bounded 0&lt;θ&lt;π2  and…

Q: PROBLEM 21 Let a uniform charge density of 5nC/m² be present at the z = 0 plane, a uniform charge…

A: The potential function at point charge is given by Vp=q4πεor For an infinite line charged, the…

Q: Four point charges Q1 =1nc at (4,2,0), Q2=2nc at (-4,2,0), Q3=3nc at(4,-2,0), Q4=4nc at(-4,-2,0).…

A: Given  Q1= 1nC at (4,2,0) Q2 = 2nC at (-4,2,0) Q3 = 3nC at (4,-2,0) Q4 = 4nC at (-4,-2,0) Let us…

Q: Q3) In free space, calculate the total electric flux leaving the cylinderical surface defined by:…

A: We need to find out flux leaving the surface due to given charge distribution .

Q: Q3) In free space, calculate the total electric flux leaving the cylinderical surface defined by:…

A: We need to find out charge enclosed by given surface .

Q: Q3) A spherical conductor shown in the figure with a radius of 2 cm, will be simulated using two…

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Q: (a) Using Gauss’ law, derive an expression for the electric field intensity at any point outside a…

A: Ans- Gauss law :-           It states that flux leaving any closed surface is equal to the charge…

Q: A spherical charge of radius 3 cm and a volume charge density given below. How much is the D-field…

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Q: Given the electric field E 3xa, -9ya, V/m, find the work done in moving a point charge Q = +2C from…

A: Let total work done = W1 + W2 Where W1 is the work done in moving charge from (5,0,0) to (0,0,0)…

Q: Problem 3: Imagine you have a long straight wire running along the x- axis. Now imagine that…

A: According to the given information in the question, the diagram is shown below,

Q: The potential at the surface of a sphere (radius R) is given by: Vo = k sin? (30) Where k is…

A: Given data: The potential at the surface of the sphere, Vo=k sin2(3θ) Solution: (a) The electric…

Q: Uniform line charges of 120 nC/m lie along the entire extent of the three coordinate axes. Assuming…

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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.