a) Find the potential at the point P located at a distance d from the center of the disk. Show what you will consider as dq? Show the detail of your steps. b) Calculate the electric field from the potential you calculated above. c) Calculate the potential difference between two points at d = R and d = 2R. Integral you may need (S - ada = Vx² + a² + C) Vx2+az d

a) Find the potential at the point P located at a distance d from the center of the disk. Show what you will consider as dq? Show the detail of your steps. b) Calculate the electric field from the potential you calculated above. c) Calculate the potential difference between two points at d = R and d = 2R. Integral you may need (S - ada = Vx² + a² + C) Vx2+az d

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 67PQ: A charged particle is moved in a uniform electric field between two points, A and B, as depicted in...

See similar textbooks

Similar questions

(a) Use the exact result from Example 24.4 to find the electric potential created by the dipole described in the example at the point (3a, 0). (b) Explain how this answer compares with the result of the approximate expression that is valid when x is much greater than a.
(a) Plot the potential of a uniformly charged 1-m rod with 1 C/m charge as a function of the perpendicular distance from the center. Draw your graph from s = 0,1 in to s = 1.0m. (b) On the same graph, plot the potential of a point charge with a 1-C charge at the origin, (c) Which potential is stronger near the rod? (d) What happens to the difference as the distance increases? Interpret your result.
A Start with V=2k[(R2+x2)x] for the electric potential of a disk of radius R and excess surface charge density at a position x from the center of a disk on its axis, and derive an expression for the electric field at this position. Hint: See Example 24.6 (page 732) to check your answer.
Review. In fair weather, the electric field in the air at a particular location immediately above the Earth's surface is 120 N/C directed downward, (a) What is the surface charge density on the ground? Is it positive or negative? (b) Imagine the surface charge density is uniform over the planet. What then is the charge of the whole surface of the Earth? (c) What is the Earths electric potential due to this charge? (d) What is the difference in potential between the head and the feet of a person 1.75 m tall? (Ignore any charges in the atmosphere.) (e) Imagine the Moon, with 27.3% of the radius of the Earth, had a charge 27.3% as large, with the same sign. Find the electric force the Earth would then exert on the Moon, (f) State how the answer to part (e) compares with the gravitational force the Earth exerts on the Moon.
A Review Consider the charged disks in Problem 72 (Fig. P26.72). Find an expression for the electric field at point A between the disks on the x axis. Approximate any square roots to three significant figures.
In a certain region of space, the electric potential is zero everywhere along the x axis. (i) From this information, you can conclude that the x component of the electric field in this region is (a) zero, (b) in the positive x direction, or (c) in the negative x direction. (ii) Suppose the electric potential is +2 V everywhere along the x axis. From the same choices, what can you conclude about the x component of the electric field now?
In three regions of space, the electric potential is given by V(r)=0forrRV(r)=V04R2r2forRr2RV(r)=V0forr2R a. Plot V as a function of r. b. Find expressions for the electric field in all three regions. c. Plot E versus r in all three regions.
A long thin wire is used in laser printers to charge the photoreceptor before exposure to light. This is done by applying a large potential difference between the wire and the photoreceptor. a. Use Equation 26.23, V(r)=20lnRr to determine a relationship between the electric potential V and the magnitude of the electric field E at a distance r from the center of the wire of radius R (r R). b. Determine the electric potential at a distance of 2.0 mm from the surface of a wire of radius R = 0.80 mm that will produce an electric field of 1.8 106 V/m at that point.
(a) Find the electric potential difference Ve required to stop an electron (called a stopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude of electric potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential. Vp/Ve.
The naturally occurring charge on the ground on a fine day out in the open country is -1.00nC/m2. (a) What is the electric field relative to ground at a height of 3.00 m? (b) Calculate the electric potential at this height. (C) Sketch electric field and equipotential lines for this scenario.
Consider the combination of capacitors in Figure P16.42. (a) Find the equivalent single capacitance of the two capacitors in series and redraw the diagram (called diagram 1) with this equivalent capacitance. (b) In diagram 1, find the equivalent capacitance of the three capacitors in parallel and redraw the diagram as a single battery and single capacitor in a loop. (c) Compute the charge on the single equivalent capacitor. (d) Returning to diagram 1, compute the charge on each individual capacitor. Does the sum agree with the value found in part (c)? (e) What is the charge on the 24.0-F capacitor and on the 8.00-F capacitor? Compute the voltage drop across (f) the 24.0-F capacitor and (g) the 8.00-F capacitor. Figure P16.42
An electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its speed is reduced to 1.40 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?