A point charge qh=8.0 nC is at the origin and another point charge q2 = 12.0 nC is on the x-axis at X=4.0 m. Find the electric field a (x=0, y= 3.0 m). Express all numerical values in three significant figures. Calculate the electric field component due to each point charge. Fill out the table below. Express all numerical values in three significant figures Do not forget to include the sign if the value is negative. Ex (N/c) Ey (N/c) electric field due to charge 1 E1 electric field due to charge 2 E2 net electric field From the components of the net electric field, we can calculate its magnitude using Pythagorean theorem. Thus the value of the net electric field magnitude is ΙΣΕ- N/c

A point charge qh=8.0 nC is at the origin and another point charge q2 = 12.0 nC is on the x-axis at X=4.0 m. Find the electric field a (x=0, y= 3.0 m). Express all numerical values in three significant figures. Calculate the electric field component due to each point charge. Fill out the table below. Express all numerical values in three significant figures Do not forget to include the sign if the value is negative. Ex (N/c) Ey (N/c) electric field due to charge 1 E1 electric field due to charge 2 E2 net electric field From the components of the net electric field, we can calculate its magnitude using Pythagorean theorem. Thus the value of the net electric field magnitude is ΙΣΕ- N/c

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 28P: Three equal positive charges q are at the comers of an equilateral triangle of side a as shown in...

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A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. P25.57). The rod has positive charge uniformly distributed. (Ignore the ends.) a. Find expressions for the electric fields in all regions: r a, a r b, b r c, and r c. b. Plot your expressions on one graph. Is the electric field continuous or discontinuous? Explain.
The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?
The electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.
Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface. (a) What is the magnitude and sign of the excess charge, noting the electric field of a conducting sphere is equivalent to a point charge at its center? (b) What acceleration will the field produce on a free electron near Earth’s surface? (c) What mass object with a single extra electron will have its weight supported by this field?
A test charge of +3 C is at a point P where an external electric field is directed to the right and has a magnitude of 4 06 N/C. If the test charge is replaced with another charge of 3 C, what happens to the external electric field at P? (a) It is unaffected. (b) It reverses direction. (c) It changes in a way that cannot be determined.
Three charged particles are arranged on corners of a square as shown in Figure OQ23.11, with charge Q on both the particle at the upper left corner and the particle at the lower right corner and with charge +2Q on the particle at the lower left corner. (i) What is the direction of the electric field at the upper right corner, which is a point in empty space? (a) It is upward and to the right. (b) It is straight to the right. (c) It is straight downward. (d) It is downward and to the left. (e) It is perpendicular to the plane of the picture and outward. (ii) Suppose the +2Q charge at the lower left corner is removed. Then does the magnitude of the field at the upper right corner (a) become larger, (b) become smaller, (c) stay the same, or (d) change unpredictably?
Three equal positive charges q are at the comers of an equilateral triangle of side a as shown in Figure P19.28. Assume the three charges together create an electric field. (a) Sketch the field lines in the plane of the charges. (b) Find the location of one point (other than ) where the electric field is zero. What are (c) the magnitude and (d) the direction of the electric field at P due to the two charges at the base?
(a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a 3.00-mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff’s belt?
A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.
Example 23.3 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk of radius R = 3.00 cm having a uniformly distributed charge of +5.20 C. (a) Using the result of Example 23.3, compute the electric field at a point on the axis and 3.00 mm from the center. (b) What If? Explain how the answer to part (a) compares with the field computed from the near-field approximation E = /20. (We derived this expression in Example 23.3.) (c) Using the result of Example 23.3, compute the electric field at a point on the axis and 30.0 cm from the center of the disk. (d) What If? Explain how the answer to part (c) compares with the electric field obtained by treating the disk as a +5.20-C charged particle at a distance of 30.0 cm.
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?