9. 3.0914 points | Previous Answers KatzPSET1 25. P.067 My Notes Ask Your Teache

Question

9. 3.0914 points | Previous Answers KatzPSET1 25. P.067 My Notes Ask Your Teacher A solid plastic sphere of radius R1 -8.00 cm is concentric with an aluminum spherical shell with inner radius R2 - 14.0 cm and outer radius R3 17.0 cm (see figure below). Electric field measurements are made at two points: At a radial distance of 34.0 cm from the center, the electric field has magnitude 8.45 x 103 N/C and is directed radially outward, and at a radial distance of 12.0 cm from the center, the electric field has magnitude 1.80 × 104 N/C and is directed radially inward, what are the net charges on the following? Plastic Aluminum (a) the plastic sphere 2.88e-8 (b) the aluminum spherical shell 1.74e-8 Your response differs from the correct answer by more than 10%. Double check your calculations. C

Explanation / Answer

b)

r = radius = 34 cm = 0.34 m

E = electric field = 8450 N/C

Q = charge enclosed

using the equation

E = kQ/r2

8450 = (9 x 109) Q/(0.34)2

Q = 1.1 x 10-7

Qshell + Qplastic = Q

Qshell - 2.88 x 10-8 = 1.1 x 10-7

Qshell = 1.39 x 10-7 C

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