A thin, hollow spherical plastic shell of radius R carries a uniformly distributed negative charge -Q....

  

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A thin, hollow spherical plastic shell of radius R carries a uniformly distributed negative charge -Q. A slice through the plastic shell is shown in the figure below. Ex- Ey = -9 +9 *+0+4 (Greatly enlarged) Thin plastic shell To the left of the spherical shell are four charges packed closely together as shown (the distances is shown greatly enlarged for clarity). The distance from the center of the four charges to the center of the plastic shell is L, which is much larger than s (L »s). Remember that a uniformly charged sphere makes an electric field as though all the charge were concentrated at the center of the sphere. (Assume the +x direction is to the right and the +y direction is upward.) (a) Calculate the x and y components of the electric field at location B, a distance b to the right of the outer surface of the plastic shell. Your results should not contain any symbols other than the given quantities R, Q. q, s, L, and b (and fundamental constants). You need not simplify the final algebraic results except for taking into account the fact that £»s. (Use any variable or symbol stated above along with the following as necessary: 80.) gs 4² (L+R+b)³ Q 2gs + Ane (R+ b)² An (L+R+b) Score: 1 out of 1 Comment: (b) What simplifying assumption did you have to make in part (a)? It is assumed that R » L. It is assumed that Ls. It is assumed that Rs. Ex= L> (c) The plastic shell is removed and replaced by an uncharged metal ball, as in the figure below. At location A inside the metal ball, a distance b to the left of the outer surface of the ball, accurately draw and label the electric field ball due to the ball charges and the electric field of the four charges. Explain briefly. (Submit a file with a maximum size of 10 MB.) Choose Fille No fille chosen Homework 13.jpg Ey = Score: 1 out of 1 Comment: -Q +9 (Greatly enlarged) R Læs (d) Show the distribution of ball charges. (Submit a file with a maximum size of 10 MB.) Choose File No file chosen Homework 13.2.jpg gs Ane (L+R+b)3 x (e) Calculate the x and y components of the net electric field at location A. (Use the following as necessary: R, Q. 9, 5, L, b, and so.) -2gs Ane (L-R+b)³ x Neutral metal ball A thin, hollow spherical plastic shell of radius R carries a uniformly distributed negative charge -Q. A slice through the plastic shell is shown in the figure below. Ex- Ey = -9 +9 *+0+4 (Greatly enlarged) Thin plastic shell To the left of the spherical shell are four charges packed closely together as shown (the distances is shown greatly enlarged for clarity). The distance from the center of the four charges to the center of the plastic shell is L, which is much larger than s (L »s). Remember that a uniformly charged sphere makes an electric field as though all the charge were concentrated at the center of the sphere. (Assume the +x direction is to the right and the +y direction is upward.) (a) Calculate the x and y components of the electric field at location B, a distance b to the right of the outer surface of the plastic shell. Your results should not contain any symbols other than the given quantities R, Q. q, s, L, and b (and fundamental constants). You need not simplify the final algebraic results except for taking into account the fact that £»s. (Use any variable or symbol stated above along with the following as necessary: 80.) gs 4² (L+R+b)³ Q 2gs + Ane (R+ b)² An (L+R+b) Score: 1 out of 1 Comment: (b) What simplifying assumption did you have to make in part (a)? It is assumed that R » L. It is assumed that Ls. It is assumed that Rs. Ex= L> (c) The plastic shell is removed and replaced by an uncharged metal ball, as in the figure below. At location A inside the metal ball, a distance b to the left of the outer surface of the ball, accurately draw and label the electric field ball due to the ball charges and the electric field of the four charges. Explain briefly. (Submit a file with a maximum size of 10 MB.) Choose Fille No fille chosen Homework 13.jpg Ey = Score: 1 out of 1 Comment: -Q +9 (Greatly enlarged) R Læs (d) Show the distribution of ball charges. (Submit a file with a maximum size of 10 MB.) Choose File No file chosen Homework 13.2.jpg gs Ane (L+R+b)3 x (e) Calculate the x and y components of the net electric field at location A. (Use the following as necessary: R, Q. 9, 5, L, b, and so.) -2gs Ane (L-R+b)³ x Neutral metal ball

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