Two identical uniform very long line charge of density λ = 70.4) lie on the x-axis and y- axis as shown in the figure. How much work is done in Joule by the electric field when a point charge q = 3.0x10-³(C) is displaced along the path PQR (P(2.0, 4.0) (cm), Q(4.0, 3.0) (cm) R(2.0, 2.0) (cm)). E = 8.8x10-¹2 C² /Nm², n = 3 a) -4.0 ln(2) b) -12 ln(2) c) - In (2) d) -2.0ln(2) e) - In(2) ++++ +λ +λ

Two identical uniform very long line charge of density λ = 70.4) lie on the x-axis and y- axis as shown in the figure. How much work is done in Joule by the electric field when a point charge q = 3.0x10-³(C) is displaced along the path PQR (P(2.0, 4.0) (cm), Q(4.0, 3.0) (cm) R(2.0, 2.0) (cm)). E = 8.8x10-¹2 C² /Nm², n = 3 a) -4.0 ln(2) b) -12 ln(2) c) - In (2) d) -2.0ln(2) e) - In(2) ++++ +λ +λ

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 64P: The surface charge density on a long straight metallic pipe is . What is the electric potential...

See similar textbooks

Similar questions

From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?
An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?
The surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.
ww Find the work done to transfer a point charge q=+5 µC in the electric field: wwwwwww Ē=yî-xj From point P1(1, 2,-4)m to point P2(-2, 8,-4)m Along the parabola: a) -40 μJ b) +40 µJ y=2x². c) -30 μJ d) +30 µJ e) -20 μJ
An external electric field is given by where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and f is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter circle of radius R and a straight line of length 2R. 3R R a Select one: O 2Aq 3R O Aq O Aq 3R 2Aq 3R Aq 3R
In a region R of free space, there exists an electric field, given by: Ē = 2xyỉ + (x² − z²)j – 3xz²k (N/C). Find the work done by the field when moving a - unit charge q=1C from A(0;0;0) to B(2;1;3) m along: I) The segment (0;0;0) => (0;1;0) => (2;1;0) => (2;1;3) II) The straight line (0;0;0=> (2;1;3)
An external electric field is given by E = where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and i is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter cirele of radius R and a straight line of length 2R. 3R R a Select one: O Ag 3R Aq 3R 24g 3R 2Aq 3R O Ag
Find the work done to transfer a point charge q=+5 µC in the electric field: wwwwwww wwwwww E=yi-xj From point P1(1, 2,-4)m to point P2(-2, 8,-4)m Along the straight line joining points P1 and P2 c) -40 μJ d) +40 μJ e) +60 µJ b) +50 µJ a) -50 µJ
Two points A and B are 2 ст арart and a Uniform electric field E acts along the straight line AB directed from A to B with E =200 N /C. A particle of charge + 10-6 C is taken from A to B along AB. Calculate (a) the force on the charge (b) the potential difference VA – Vg and (c) the work done on the charge by E.
An external electric field is given by A E = where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and î is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter circle of radius R and a straight line of length 2R. b 3R R a Select one: 2Aq 3R Aq 3R Aq 3R Aq R 2 Aq 3R
The amount of work you have to do to move a charge q from point P1 to point P2 through a small displacement Ar in the presence of an electric field E is given by: O is the angle between the direction AW=F · Ar = - qE·Ar =- q |E| |Ar| cosq. of the electric field and the direction you exert of displacement Ar. This tells us that the work is dependent on: the magnitude and type (+ or -) of the electric charge we are trying to move, the strength of the electric field we are moving it through, the displacement (change in position from starting point to ending point), and the angle the displacement makes with the electric field. 1) If the angle the displacement makes with the electric field is 90° it means the charge is moving across (or perpendicular to) the field vectors. Is work being done and what is doing the work? Will it be Maximum, Minimum or zero? Explain your answer with a diagram.
Determine the work done, in µJ, in moving a 7-nC charge from A(-3, 2, 2) m to B(-1, 2, 2) m against the electric field due to an infinite sheet charge of density 9 nC/m2 at y = -3 m.