Problem #1: A flat sheet of paper of area 0.260m2is oriented so that the normal to the sheet is at…
Problem #1: A flat sheet of paper of area 0.260m2 is oriented so that the normal to the sheet is at an angle of 61∘ to a uniform electric field of magnitude 12N/C.Part A: Find the magnitude of the electric flux through the sheet.Part B: Does the answer to part A depend on the shape of the sheet?Part C: For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet largest?Part D: For what angle ϕ between the normal to the sheet and the electric field is the magnitude of the flux through the sheet smallest?Part E: Explain your answers in parts C and D.Problem #2: You measure an electric field of 1.28×106N/C at a distance of 0.157m from a point charge. There is no other source of electric field in the region other than this point charge.Part A: What is the electric flux through the surface of a sphere that has this charge at its center and that has radius 0.157m ?Part B: What is the magnitude of the charge?Problem #3: A point charge of +8.00μC is located on the x-axis at x= 6.00m , next to a spherical surface of radius x= 5.00m centered at the origin.Part A:Calculate the magnitude of the electric field at x= 5.00m . Part B: Calculate the magnitude of the electric field at x= -5.00m .Problem #4: A solid metal sphere with radius 0.470m carries a net charge of 0.250nC .Part A: Find the magnitude of the electric field at a point 0.114m outside the surface of the sphere.Part B: Find the magnitude of the electric field at a point inside the sphere, 0.114m below the surface.Problem #5: Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of 3.59×1016N⋅m2/C into the planet’s surface.Part A: Calculate the total electric charge on the planet.Part B: Calculate the magnitude of the electric field at the planet’s surfacePart C: Find the direction of the electric field at the planet’s surface.Part D: Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet’s surface. Problem #6: The three small spheres shown in the figure carry charges q1 = 3.65nC , q2 = -7.80nC , and q3 = 2.75nC .Part A: Find the net electric flux through the closed surface S1 shown in cross section in the figure.Part B: Find the net electric flux through the closed surface S2 shown in cross section in the figure.Part C: Find the net electric flux through the closed surface S3 shown in cross section in the figure.Part D: Find the net electric flux through the closed surface S4 shown in cross section in the figure.Part E: Find the net electric flux through the closed surface S5 shown in cross section in the figure.Part F:Do your answers to parts A through E depend on how the charge is distributed over each small sphere?Part G: Why or why not?
