A semicircle of radius R has charge lining its outer edge, with a charge +q uniformly distributed on one half and a charge -q uniformly distributed on the other half. The point P is located at the center of circle that describes this semicircle. At point P, find (a) the electric field. (b) the electric potential.

A semicircle of radius R has charge lining its outer edge, with a charge +q uniformly distributed on one half and a charge -q uniformly distributed on the other half. The point P is located at the center of circle that describes this semicircle. At point P, find (a) the electric field. (b) the electric potential.

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

An electron is already moving at a speed of 2.2 x 105 m/s as it passes point A on the way to point B. If its speed when it reaches point B is now 3.1 x 104 m/s, (a) What is the magnitude of the potential difference between points A and B? (b) Which point, A or B, is at a higher potential? And how do you know?
A 4 = 6.00 µC point charge is at the origin, and another point charge 92 = -3.00 µC is on the x-axis at (3.00, 0) m, as in Figure. If the electric potential is taken to be zero at infinity, find the total electric potential due to these charges at point P with coordinates (0, 4.00) m. у (m) P (0, 4.00) 12 х (m) (3.00, 0)
(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rect- angle in Figure P16.13. (b) Repeat if the 2.00-uC charge is replaced with a charge of -2.00 uC. 8.00 µC 6.00 cm 3.00 cm 4.00 μC 2.00 μC Figure P16.13 Problems 13 and 14.
Consider two separate systems with four charges of the same magnitude q = 17 µC arranged in the vertexes of a square of length h = 20 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y q h q h A. B The potential at point A, VA = The potential at point B, VB = The potential at point C, Vc = = The potential at point D, VĎ : q q X Units V Units V Units V Units V Units J q Units J F h C c. Ꭰ How much work is required to move a -38 µC charge from point A to point B? The work required, Wä→ß = How much work is required to move a -38 µC charge from point C to point D? The work required, Wc→D = ✓✓. ✓✓. q -q O X
The electric potential at points in an xy plane is given by V = (2.5 V/m2)x² -(3.6 V/m²)y². What are (a) the magnitude of the electric field at the point (2.3 m, 1.8 m) and (b) the angle that the field there makes with the positive x direction. (a) Number Units (b) Number Units
A rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density ? = ?x, where ? is a positive constant. (a) What are the units of ?? (Use SI unit abbreviations as necessary.) (b) Calculate the electric potential at A. (Use any variable or symbol stated above along with the following as necessary: ke.)
Throughout this problem, consider a charge configuration consisting of a proton fixed in place at position (x,y) = (-1nm, -1nm) and an electron fixed in place at point (x,y) = (1nm, 1nm). Draw the configuration of charges described above, and without calculation, sketch an estimate of what you believe the graph of electric potential V (x) looks like as a function along the x-axis from x = -10nm to x= 10nm. NOTE: it is helpful to draw two diagrams. One representing the location of charges in physical (x,y) space, and the other representing the function of the potential V(x), that you create by estimating the electric potential at various locations along the x-axis.
(a) Calculate the electric potential 0.160 cm from an electron. (b) What is the magnitude of the electric potential difference between two points that are 0.160 cm and 0.710 cm from an electron? V. (c) How would the answers change if the electron were replaced with a proton? O The sign of answer (a) would change. O The sign of answer (b) would change. O The sign of both answers would change. Both answers would remain the same.
A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x 80.0cm, y= 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y%3D 80.0 cm, carrying the same amount of charge with the same uniform density. At the same point P, the pair of filaments creates potential: 1. greater than 200 V 2. 200 V. 3. 100 V. 4. between 0 and 200 V 5. 0. . -1
Your answer is partially correct. A nonconducting sphere has radius R = 2.10 cm and uniformly distributed charge q = +4.95 fC. Take the electric potential at the sphere's center to be Vo = 0. What is V at radial distance from the center (a) r = 1.00 cm and (b) r = R? (Hint: See Module 23.6.) (a) Number i 0.00445 (b) Number i 0.00211 Units Units V V
Three charged balls, with charges of +q, -3q, and +2q, are placed at the corners of a square that measures L = 80.0 cm on each side, as shown in the figure. The value of q is 2.90 × 10-6 C. Assume that the potential an infinite distance from the charges is zero. +q -39 +2q Enter a number. L (a) What is the electric potential at the lower left corner of the square, due to the three charges? V ..(b)..What is the electric potential at the center of the square, due to the three charges? X V
Suppose you have a positively charged conducting sphere. Where, relative to the center of the sphere, is the electric potential the lowest value? Where is it the highest value?