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3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

3. A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation p (t) = p.(r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric fjeld for 1) r< a' (ii) r 2 a Write your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. E

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A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation 3. P (r) = p (r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric field for (1) r < a' (ii) r 2 a your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. Write E
Transcribed Image Text:A solid glass sphere of radius a contains excess charge distributed throughout its volume such that the volume charge density depends on the distance r from the sphere's center according to the equation 3. P (r) = p (r/a) where p, is a constant. (a) What are the units of p ? (b) Compute the total charge Q on the sphere. (c) Determine the magnitude of the electric field for (1) r < a' (ii) r 2 a your answers to both (i) and (ii) in terms of Q, a, r, and fundamental constants. (d) Sketch the electric field magnitude E as a function of r on the graph below. Be sure to indicate on the vertical axis the value of E at r = a. Write E
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