Part A A point charge -2Q is at the center of a spherical shell of radius spread uniformly over its surface. carrying charge Q What is the electric field at r R? Express your answer in terms of Q, R. and constant k. ? - 2Qne, R E = Submit Previous Answers Reguest Answer X Incorrect; Try Again Part B What is the electric field at r = 2R? Express your answer in terms of Q, R, and constant k. E2 = Request Answer

Part A A point charge -2Q is at the center of a spherical shell of radius spread uniformly over its surface. carrying charge Q What is the electric field at r R? Express your answer in terms of Q, R. and constant k. ? - 2Qne, R E = Submit Previous Answers Reguest Answer X Incorrect; Try Again Part B What is the electric field at r = 2R? Express your answer in terms of Q, R, and constant k. E2 = Request Answer

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 76P: Two point charges, q1=2.0107C and q2=6.0108C , are held 25.0 cm apart. (a) What is the electric...

See similar textbooks

Similar questions

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->.
The figure shows a uniformly charged rod withlength a, carrying a total charge of Q. You needto derive an expression for the electric field gen-erated by the rod at point P, which is a distanced below the left end of the rod. (a) Redraw the figure and show clearly how you planto parametrise the rod. Indicate a general in-finitesimal segment and include any vectors rele-vant to your calculation. This figure is an inte-gral part of your calculation, and should providethe reader with enough information to be able tofollow your work. (b) Write down an expression for dE~ , the electric fieldgenerated at point P by an infinitesimal segment.Ensure that the dependence on the parametrisa-tion coordinate is explicit in your expression. (C) Write down an expression for dEx, the x-component of dE~ , and calculate Ex, the x-component of the field at point P. (d) Repeat the steps above to determine the y-component of the field at point P.
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.
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).
In this exercise, you practice electric field lines. Make sure you represent both the magnitude and direction of the electric field adequately. Note that the number of lines into or out of charges is proportional to the charges. (a) Draw the electric field lines map for two charges +20C and 20C situated 5 cm from each other. (b) Draw the electric field lines map for two charges +20C and +20C situated 5 cm from each other. (c) Draw the electric field lines map for two charges +20C and 30C situated 5 cm from each other.
The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of magnitude 890 N/C and points radially toward the center of the sphere. (a) What is the net charge within the spheres surface? (b) What is the distribution of the charge inside the spherical shell?
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.
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. ( please Make an illustration of the problem) (c) Calculate the electric field at a point 3 m away from the infinite line of charge.
Problem situation: "A sphere of radius R has a total charge Q. The volume charge density (C/m^3) within the sphere is p(r) = C/r^2, where C is a constant to be determined."part A: I solved this successfully.part B: This is where I'm stuck: "Use Gauss's Law to find the Electric Field Strength E inside the sphere, r I tried (Q*r)/(4*pi*e0*R^3) and (p*r)/(3*e0) but Pearson won't accept either answer.
Draw it's electric field and Solve for the magnitude and direction of electric force at Q2 due to Q1 and Q3. Use 8.99x10^9 as the given for kolumb.
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.