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Find the net electric flux through (a) the closed spherical surface in a uniform electric field shown in Figure P23.22a and (b) the closed cylindrical surface shown in Figure P23.22b. (c) What can you conclude about the charges, if any, inside the cylindrical surface?
Figure P23.22
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Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
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- The electric field everywhere on the surface of a thin, spherical shell of radius 0.705 m is of magnitude 851 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? X nc (b) What is the distribution of the charge inside the spherical shell? O The positive charge has an asymmetric charge distribution. O The negative charge has an asymmetric charge distribution. Ô The negative charge has a spherically symmetric charge distribution. O The positive charge has a spherically symmetric charge distribution.arrow_forwardAssume a uniformly charged ring of radius R and charge Q produces an electric field Ering at a point P on its axis, at distance x away from the center of the ring as in Figure OQ23.13a. Now the same charge Q is spread uniformly over the circular area the ring encloses, forming a flat disk of charge with the same radius as in Figure OQ23.13b.How does the field Edisk produced by the disk at P compare with the field produced by the ring at the same point?(a) Edisk < Ering (b) Edisk = Ering (c) Edisk > Ering (d) impossible to determinearrow_forwardA thin rod of length ℓ and uniform charge per unit length λ lies along the x axis, as shown in Figure P23.35. Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has no x component and is given by E = 2ke λ sin θ0/y.arrow_forward
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.745 m is of magnitude 915 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC (b) What is the distribution of the charge inside the spherical shell? O The negative charge has a spherically symmetric charge distribution. O The positive charge has a spherically symmetric charge distribution. O The positive charge has an asymmetric charge distribution. O The negative charge has an asymmetric charge distribution.arrow_forwardThe electric field on the axis of a uniformly charged ring has magnitude 400 kN/C at a point 6 cm from the ring center. The magnitude 15 cm from the center is 125 kN/C; in both cases the field points away from the ring. a. Find the rings radius b. find the rings chargearrow_forward35. M A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P23.35. The rod has a total charge of –7.50 µC. Find (a) the magnitude and (b) the direc- tion of the electric field at 0, the center of the semicircle.arrow_forward
- 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 E23.1. 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.…arrow_forwardy A total charge Q = 1.9 µC is distributed uniformly over a quarter circle arc of radius a = 8.6 cm as shown. a- T X a 1) What is A the linear charge density along the arc? C/m Submit 2) What is Ex, the value of the x-component of the electric field at the origin (x,y) = (0,0) ? N/C Submit 3) What is Ey, the value of the y-component of the electric field at the origin (x,y) = (0,0) ? N/C Submitarrow_forwardA long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. a. Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.arrow_forward
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.705 m is of magnitude 851 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC (b) What is the distribution of the charge inside the spherical shell? O The positive charge has an asymmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The positive charge has a spherically symmetric charge distribution.arrow_forwardA uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P23.33. The rod has a total charge of -7.50 µC. Find the magnitude and direction of the electric field at O, the center of the semicircle. 33.arrow_forwardA hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 18 cm. A charge Q = -45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 19 μC/m4. a. What is the radial electric field at the point r = 0.5R1? Give the answer in units of kN/C, and take the positive direction outwards. b. What is the radial electric field at the point r = 0.5(R1+R2)? Give your answer in units of kN/C. c. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C. a.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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