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1.-15 points My Notes A hollow sphere of radius a has uniform surface charge density σ and is centered at the origin. It sits inside a bigger sphere, also centered at the origin, with radius b > a and uniform surface charge density-o. Because of the spherical symmetry, the electric field will have the form E (i)-E(r) f, where negative E(r) corresponds to an electric field pointing towards the origin, and positive E(r) corresponds to a field pointing away. What is E(r) for r < a? (Use any variable or symbol stated above along with the following as necessary: 0-) E(r <a) What is E(r) for a <r<b? Elas r < b) What is E(r) for r > b? E(r> b)- Sketch E(r) as a function of r for r going from 0 to 3b. Make sure that the regions of the plot corresponding to your three answers are all roughly the same size so that theyre all clearly visible. Make sure that you have labeled ticks giving the scales of both the r and E axes. Get ADOBE Flash Player version 10 or higher is required for this question You can get Flash Player free from Adobes website. This answer has not been graded yet

cioud. Purchase addltional storage or remove some documents from iCloud. 2. -17 points My Notes Consider a wide, nearly flat square with uniform charge L the z-axis for 0 z < h/2. (Hint: think separately about the fields from the part of the square below z and from the part of the square above z.) (use any variable or symbol stated above along with the following as necessary: Eo-) E(Z) Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for h/2 < z <<a: E(z) Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for z > a: umy a u 1s yıny μαa to the xy-plane. It has side length a and thickness ace of the square is at z-h/2 and the bottom is at z--h/2.Find a simple approximate (monomial) expression for the magnitude of the electric field on Sketch E(z) as a function of z, with Z ranging from 0 to 100a. DO NOT DRAW THE Z-AXIS TO SCALE! Your z axis should have three roughly equally-sized regions corresponding to your three answers above (so you should have equally spaced, labeled ticks at z h/2 and za). You should also have labeled ticks at the corresponding places on the E axis. Get ADOSE Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobes website3. -15 points Consider a long, cylindrical charge distribution of radius R with a uniform charge density p. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: E0) What is it forr> R? R, and a E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e., there should be a labeled tick mark on the rais at r corresponding labeled tick on the E axis. Get ADOBE Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobes website. This answer has not been graded yet. O Show My Work (optional)4. -14 points My Notes Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: E0) E(r) - What is it for r> R? E(r>R) Sketch E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e., there should be a labeled tick mark on the r axis atr - R, and a corresponding labeled tick on the E axis. Get ADOBE Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobes website. This answer has not been graded yet a Show My Work (Optional)

Hello... please answer these questions for me, with detailed working so that I can understand how you did it.

Thank you : )

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hethic Reta Lo 8in (enclosed chargeis 2 τα 2. o to 3b at r= 36 3b

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