Part A A point charge - 2Q is at the center of a spherical shell of radius R carrying charge Q spread uniformly over its surface. What is the electric field at r= R? Express your answer in terms of Q, R, and constant k. VO AZ ? E1 = Submit Request Answer Part B What is the electric field at r = 2R? Express your answer in terms of Q, R, and constant k. VO AZ ? E2 = Submit Request Answer Part C How would your answers change if the charge on the shell were doubled? Both the fields would be doubled. Both the fields would be zero. The field outside would be unchanged, but the field inside would be zero. O The field inside would be unchanged, but the field outside would be zero. Submit Request Answer

Part A A point charge - 2Q is at the center of a spherical shell of radius R carrying charge Q spread uniformly over its surface. What is the electric field at r= R? Express your answer in terms of Q, R, and constant k. VO AZ ? E1 = Submit Request Answer Part B What is the electric field at r = 2R? Express your answer in terms of Q, R, and constant k. VO AZ ? E2 = Submit Request Answer Part C How would your answers change if the charge on the shell were doubled? Both the fields would be doubled. Both the fields would be zero. The field outside would be unchanged, but the field inside would be zero. O The field inside would be unchanged, but the field outside would be zero. Submit Request Answer

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.10OQ: A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom...

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c. i. Compare the electric flux in a cubical surface of a side 10cm and spherical surface ofradius 10 cm, when a charge of 5µC is enclosed by them.ii. How does the electric field enclosing a given charge vary when the area enclosed bythe charged is doubled. Assuming the electric flux is constant.
Part A through part D, please Charge is distibuted uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x=2R (Figure 1). Let left-hand sphere have positive charge Q and let the right-hand sphere have negative charge -Q . Part A Find the magnitude of the net electric field due to these two distributions of charge at the point x=0 on the x-axis. Express your answer in terms of the variables Q , R , and appropriate constants. Part B Find the magnitude of the net electric field at the point x=R/2 on the x-axis. Express your answer in terms of the variables Q , R , and appropriate constants. Part C Find the magnitude of the net electric field at the point x=R on the x-axis. Express your answer in terms of the variables Q, R , and appropriate constants. Part D Find the magnitude of the net electric field at the point x=3Ron the x-axis. Express your answer in terms of the variables Q, R, and appropriate constants.
A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the roddepends on θ and is given byλ =λ0/cos θwhere λ0 is a positive constant. The arc extends from θ =π/4 to θ =3π/4as shown a)Sketch the direction of the resultant electric field at the origin.b) Calculate the magnitude of the electric field E->.
A 12-cm -long thin rod has the nonuniform charge density λ(x)=(4nC/cm)e−|x|/(6.0cm) , where x is measured from the center of the rod. Part A What is the total charge on the rod? Hint: This exercise requires an integration. Think about how to handle the absolute value sign.
Part 1 In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are σA=34nC/m2 and σB=29nC/m2. The separation between the planes A and B is d=8m. Calculate the net electric field due to both the planes in unit vector notation in three regions shown in the Fig-1. a) (i) Find the electric field in unit vector notation in region I. x component of the electric field Give your answer to at least three significance digits.y component of the electric field Give your answer to at least three significance digits. (ii) Find the electric field in unit vector notation in region II. x component of the electric field Give your answer to at least three significance digits.y component of the electric field Give your answer to at least three significance digits. (iii) Find the electric field in unit vector notation in region III. x component of the electric field Give your answer to at least three significance digits. y component of the electric field Give…
Two point charges, q1=2.0107C and q2=6.0108C , are held 25.0 cm apart. (a) What is the electric field at a point 5.0 cm from the negative charge and along the line between the two charges? (b)What is the force on an electron placed at that point?
A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).
Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). An cylinder with radius 1 m and length 1.5 m has an infinite line of charge with a linear charge density of 30 C/m. (Make an illustration of the problem) (a) What is the total charge enclosed by the Gaussian cylinder? (b) What is the electric flux through the cylinder due to the infinite line of charge? (c) Calculate the electric field at a point 3 m away from the infinite line of charge.
Three chargesbare arranged on a rectangle as shown below. What is the net electric field at P2? Calculate the magnitude and the direction
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i.Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm, when a charge of 5µC is enclosed by them. ii.The electric field intensity of a point charge can be infinite. Where does this occur and what is the physical meaning of this ?
Problem 2: A closed hollow cylinder (i.e., with capped ends) is situated in an electric field given by E(u) = E0(u5i + 7j + 22k). The cylinder’s axis is on the x-axis with its center at the origin. The cylinder’s height is L and its radius is R. Here u = x/x0 is a dimensionless variable, where x0 sets the scale of the field. Refer to the figure. Part (a) Integrate to find an expression for the total electric flux through the cylinder in terms of defined quantities and enter the expression. Part (b) For L = 8.7 m, R = 0.25 m, E0 = 4.5 V/m, and x0 = 1 m, find the value of the electric flux, in units of volt•meter, through the cylinder. Part (c) If the electric field is E(u) = E0(323u2i + 42j + 415k), enter an expression for the total flux in terms of defined quantities.