sheet provided for this part. conductor Problem 1. A solid conducting sphere has
ID: 1870760 • Letter: S
Question
sheet provided for this part. conductor Problem 1. A solid conducting sphere has a radius a and a total charge O Concentric with this sphere is an insulating hollow sphere which has a uniform charge density p, a total charge Q and an inner and outer radii b and c, respectively. Use Gauss's Law to find the magnitude of the electric field in the regions rs,abrc, andrsc insulator 2m 2m X Problem 2. A charge of +2 C is at the origin, When charge Q is placed at 2 m along the positive r axis, the electric field at 2 m along the negative x axis becomes zero. What is the value of Q? 2C Q 3m Problem 3. The electric field in the region of space shown is given by E = (si + 2) NC where y is in m. what is the magnitude of the electric flux through the top face of the cube shown? 2m 3mExplanation / Answer
1: for concentric Gaussian spherical surface,
E (4 pi r^2) = Q_enclosed / e0
r < a ; E = 0 (field inside conductor is always zero.)
a < r < b ; E ( 4 pi r^2) = Q / e0
E = Q / (4 pi e0 r^2)
b < r < c ; Qin = Q + Q (r^3 - b^3)/(c^3 - b^3)
E (4 pi r^2) = [Q + Q (r^3 - b^3)/(c^3 - b^3) ]/ e0
E = (Q / 4 pi e0 r^2 ) [ (c^3 + r^3 - 2 b^3)/(c^3 - v^3)]
r > c; E (4 pi r^2) = 2 Q / e0
E = Q / (2 pi e0 r^2)
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