a) Find the value for the constant po (including units), given that the total charge on the insulating sphere = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the is Q symbolic expression and the final answer. b) Derive an expression for electric field forr< R. Box it. c) Derive an expression for electric field for R

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A solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is
measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting
spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC.
a) Find the value for the constant po (including units), given that the total charge on the insulating sphere
is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the
symbolic expression and the final answer.
b) Derive an expression for electric field forr < R. Box it.
c) Derive an expression for electric field for R <r<a. Box it.
d) Derive an expression for electric field for r > b. Box it.
e) Draw an E vs. r graph and show the values for E at distances R, a, b.
Transcribed Image Text:A solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC. a) Find the value for the constant po (including units), given that the total charge on the insulating sphere is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the symbolic expression and the final answer. b) Derive an expression for electric field forr < R. Box it. c) Derive an expression for electric field for R <r<a. Box it. d) Derive an expression for electric field for r > b. Box it. e) Draw an E vs. r graph and show the values for E at distances R, a, b.
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