Point Charges 8 v.B If Q, is a negative charge, what is the direction of the electric field E, at point P? P Q1 The electric field has no direction. H Two point charges (Q1, Q2) and point P in empty space are located on the corners 9 of a rectangle of length L = 3.0 m and height H = 1.6 m. E, = electric field generated by the charge Q1 E2 = electric field generated by the charge Q2 If Q1 = -7.0 µC, what is the magnitude of the electric field E, at point P? Enter the numerical value in Sl units. Type your answer. 10 What is the distance from charge Q2 to point P? Enter the numerical value in SI units. Type your answer. 11 If Q2 = +3.5 µC, what is the y-component of the electric field E, at point P? Enter the numerical value in Sl units. Type your answer. O O 0 0 O

Point Charges 8 v.B If Q, is a negative charge, what is the direction of the electric field E, at point P? P Q1 The electric field has no direction. H Two point charges (Q1, Q2) and point P in empty space are located on the corners 9 of a rectangle of length L = 3.0 m and height H = 1.6 m. E, = electric field generated by the charge Q1 E2 = electric field generated by the charge Q2 If Q1 = -7.0 µC, what is the magnitude of the electric field E, at point P? Enter the numerical value in Sl units. Type your answer. 10 What is the distance from charge Q2 to point P? Enter the numerical value in SI units. Type your answer. 11 If Q2 = +3.5 µC, what is the y-component of the electric field E, at point P? Enter the numerical value in Sl units. Type your answer. O O 0 0 O

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.2OQ: A coaxial cable consists of a long, straight filament surrounded by a long, coaxial, cylindrical...

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Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49
In which of the following contexts can Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.
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 e as shown in Figure P24.45. 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? Figure P24.45 Problems 43 and 47.
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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.
Two very long, thin, charged rods lie in the same plane (Fig. P25.30). One rod is positively charged with charge per unit length +, and the other is negatively charged with charge per unit length . The perpendicular distance between the rods is R. Using the coordinate system shown in the figure, sketch the electric field as a function of r from R to +2R. FIGURE P25.30
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.
Three identical charges (q = 5.0 C.) lie along a circle of radius 2.0 m at angles of 30, 150, and 270, as shown in Figure P15.33 (page 524). What is the resultant electric field at the center of the circle? Figure P15.33
Four closed surfaces, S1 through S4, together with the charges 2Q, Q, and Q. are sketched in Figure P15.47. (The colored lines are the intersections of the surfaces with the page.) Find the electric flux through each surface. Figure P15.47
A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61
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?
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .