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- Find the flux passing through the surface y = 3, -1 < x < 2, 1 < z < 4 given the electric field everywhere in the region is E = 8x ax + 3(y^2)z ay + y^3 az volts per meter. All coordinates are in meters. Assume a positive direction for the surface vector. 57.1631 nanocoulombs 5.3788 nanocoulombs; 223.3473 nanocoulombs; 607.5 nanocoulombsCompute for the volume charge density at (4.5 m, 100 degrees, 200 degrees) given the electric flux density is D = r2 sin2(0) sin(0) ao C/m2. O -15.4296 C/m3 O 4.1644 C/m3 O -11.9204 C/m3 O The answer cannot be found on the other choices.Find the flux in N.m2.C-1 of a constant electric field E = (5.85x10^3) i + (2.712x10^3) j + (-7.4910x10^3) k N/C, passing through an area defined by the area vector A = (3.633x10^0) i + (1.5050x10^0) j + (-1.9920x10^0) k m2.
- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?Two flat conductors are placed with their in- ner faces separated by 16 mm. If the surface charge density on inner face A is 105 pC/m and on inner face B is -105 pC/m², calculate the electric po- tential difference AV VA VB- Use €0 = 8.85419 x 10¬12 c² /Nm². Answer in units of V. %3DAn electric field of (9.242x10^3) i + (2.441x10^3) j + (4.8590x10^3) k N/C passes outwards through an area (7.04x10^0) m² in the xy plane. Calculate the flux in N.m2/C. y A
- In free space, let D = 8xyz*ax + 6x²z*ãy + 16x?yz'a, pC/m?. a. Find the total electric flux passing through the rectangular surface z = 2, 0Q.1. Given a uniform electric field É = 5 × 10³ î N/C. Find the flux of this field through a square of side 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis ?An electric field given by E = 2.6 i – 6.1(y² + 6.2) j pierces the Gaussian cube of edge length 19.0 cm and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the net electric flux in Nm?/C through the cube? 3. Gaussian surface (a) -0.0076 (b) -0.0079 (c) -0.0082 (d) -0.0085 (e) None of the aboveCalculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): a. A constant electric field of magnitude 300 N/C at a 30 degrees angle with respect to the flat rectangular surface shown in the Figure above. b. A uniform electric field E = (70 i + 90 k) N/C through a 4 cm ×5 cm in the x-y plane. c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.1. Figure shows a non-conducting hollow sphere with inner radius a and outer radius b. It has non-uniform positive volume charge density p P. d that is a function of radial distance r from its center p = ar where a is a constant with the units of C/m*. a. Find the electrical flux through the spherical Gaussian surface with radius r for a b) element of a sphere Express your answers in term of a, b, d,r, a, e, and n.The flux through a closed surface is Φ = (-9.00x10^3) N.m2/C. Calculate the charge in Coulombs enclosed by the surface.SEE MORE QUESTIONS