Determine the curl of the given vector field - B = p cos p ap + p z ao +Z sin o az
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- Solve for the net flux through each closed surface. -20 x 10c 3.0 x 10c (a) -3.0 x 106C 4.0 x 10c 5.0 x 106C (b) -2.0 x 10C (c) End cap of area 4.0 X 104 m a= 2.0 X 10 Cim? (d) Conductor + + + + + + +The figure below shows four small charged spheres arranged at the corners of a square with side d = 25.0 cm. (Let q₁ = +4.00 nC, 92 = +6.00 nC, 93 = +9.00 nC, and 94 = +5.00 nC. Assume 93 is located at the origin and +x axis is to the right and the +y axis is up along the page. Express your answers in vector form.) 91 d 92 93 d 94 (a) What is the electric field at the location of the sphere with charge +9.00 nC? N/C (b) What is the total electric force exerted on the sphere with charge +9.00 nC by the other three spheres? = N d dO qa O qc Oq N O qb O qd Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 2.00 μC, given that qaqb= +7.46 C and qc = qd = -7.46 µC.
- Find the net charge of a system consisting of (a) 6.15 × 106 electrons and 7.44 × 106 protons X8. Evaluate the flux of each vector field F , Ĝ and H through each of the surfaces whether it is positive (+), negative (-), or zero. The orientation of the surface is indicated by a normal vector. F(x, y, 2)= zi G(x, y,z)=-zi+xk Ħ(F)=F SurfacesCharges q, and 92 are placed on the y-axis at y = 0 and y = 25.1 m, respectively. If q, = -46.8 pC and q2= +64 pC, determine the net flux through a spherical surface (radius = 9.5 m) centered on the origin. Round your answer to 2 decimal places.