7. A line of length L has a positive charge Q uniformly distributed over it. It is placed on the coordinate axes as shown. Note that the y axis bisects the line. Point P is placed a distance a on the y axis from the line. Construct (but do not solve!) an integral to find the electric potential at point P. Include limits and express the integrals in terms of the given variables, constants, and the integration variable, x. +y a +x -L/2 L/2

7. A line of length L has a positive charge Q uniformly distributed over it. It is placed on the coordinate axes as shown. Note that the y axis bisects the line. Point P is placed a distance a on the y axis from the line. Construct (but do not solve!) an integral to find the electric potential at point P. Include limits and express the integrals in terms of the given variables, constants, and the integration variable, x. +y a +x -L/2 L/2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Point Charges 12 v.B If Q1 is a negative charge, what is the direction of the potential V1 at point P? Q1 O The potential has no direction. H Q2 13 Two point charges (Q1, Q2) and point P in empty space are located on the corners of a rectangle of length L = 3.0 m and height H = 1.6 m. V1= electric potential (or voltage) generated by the charge Q1 V2 = electric potential (or voltage) generated by the charge Q2 If the charges have values of Q1 = -3.5 µC and Q2 = +1.8 µC, what is the value of the total potential (or voltage) at point P? Enter the numerical value in Sl units. %3D %3D Type your answer...
Question B
3. A thin circular ring has a radius R and charge3 Q distributed uniformly over its length. What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the same distance from the center. Therefore you don't need to integrate. а. 3Q, R b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is still the same distance from point P. 3Q, R
Electric Potential of Distributed Charge 4. An evenly charged wire of length L has a total charge of Q distributed on it and is located on the x-axis a distance a away from the origin as drawn. Set up the integral that could be solved to determine the electric potential at any point on the y-axis, (0,yo). You do not have to evaluate the integral.
Please write clearly
1. Find the electric potential at a distance r from the center o of a spherical shell of radius R with charge Q distributed uniformly on the surface of the shell. Consider both cases: r R. Q R
2. A conducting sphere with radius R and total charge Q is centered at the origin. The space outside the sphere above the z = 0 plane has relative permittivity K₁. The space outside the sphere below z = 0 has relative permittivity K₂. a) Find the potential everywhere outside the sphere. b) Find the surface charge distribution on the surface of the sphere. ZA Thin
Please read the question and leave notes on the answer where appropriate. Please DO NOT skip any steps. Please double check your answer. Please do not type out a response. Please use LaTeX or use a hand written response that is LEGABLE. Please review your answer to make sure all steps are clearly visable. Please double check your work. Thank you.