Two thin spherical metal shells, one a half meter in diamter, the other one mete
ID: 3899445 • Letter: T
Question
Two thin spherical metal shells, one a half meter in diamter, the other one meter in diameter are positioned one inside the other, with their centers concentric. the inner sphere carries a net electric charge of -3 uC while the outer sphere carries a net charge of +6uC. At the very center of this arrangement ther is a +1 uC charge. Find the magnitude and direction ( inward toward center or outward away from center) of the electric field at the following three locations:
a. Inside the smaller sphere, 0.29 meters from the center.
b. between the inner and outer spheres, 0.40 meters from the center.
c. outside the larger sphere, 060 meter from the center
Explanation / Answer
1)
E = k q/r^2 = 9e9*(1e-6)/(0.29*0.29) = 107015
magnitude = 1.07 x 10^5 N/C
direction = outward
2)
E = k q/r^2 = 9e9*(-3e-6 + 1e-6)/(0.40*0.40) = -1.125 x 10^5
magnitude = -1.13 x 10^5 N/C
direction = inward
3)
E = k q/r^2 = 9e9*(-3e-6 + 6e-6 + 1e-6)/(0.60*0.60) = -1.00 x 10^5
magnitude = 1.00 x 10^5 N/C
direction = outward
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