Download Group Problem 7 - University of St. Thomas

GP #7 Physics 112-1 F12 Page 1 of 4
Group problems #7: Electric flux and
electric Field
𝑁
An electric field is given by 𝐸⃗ = +200 𝑖̂ throughout the region x > 0 and by E = -200 N/C i 𝐸⃗ =
𝐶
𝑁
−200 𝐶
𝑖̂ throughout the region x < 0. An imaginary soup-can-shaped surface that has a length equal
to 20 cm and a radius R equal to 5.00 cm has its center at the origin and its axis along the x-axis, so that
one end is at x= +10 cm and the other is at x = -10cm. What is the net outward flux through the closed
surface? What is the net charge inside the closed surface?
GP #7 Physics 112-1 F12 Page 2 of 4
Find the electric field due to a uniformly charged thin spherical shell of radius R and total charge Q.
GP #7 Physics 112-1 F12 Page 3 of 4
A spherical shell of radius R=3.00 m has its center at the origin and has a surface charge density of σ =
3.00 nC/m2. A point charge q = 250nC is on the y-axis at y = 2.00m. Find the electric field on the x-axis
at (a) x = 1.50 m and (b) x = 4.00 m.
GP #7 Physics 112-1 F12 Page 4 of 4
Find the electric field everywhere for a uniformly charged solid sphere that has a radius R and a total
charge Q that is uniformly distributed throughout the volume of the sphere that has a charge density ρ =
Q/V, where V = 4/3 π R3 is the volume of these sphere.