Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 24, Problem 52AP
To determine
The electric flux through a circular cap of half angle.
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A sphere of radius R surrounds a particle with charge Q located at its center as shown in Figure P23.43. Find the electric flux through a circular cap of half-angle θ.
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Chapter 24 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 24.1 - Suppose a point charge is located at the center of...Ch. 24.2 - If the net flux through a gaussian surface is...Ch. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQCh. 24 - Prob. 4OQCh. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 8OQ
Ch. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - A flat surface of area 3.20 m2 is rotated in a...Ch. 24 - A vertical electric field of magnitude 2.00 104...Ch. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - A nonuniform electric field is given by the...Ch. 24 - An uncharged, nonconducting, hollow sphere of...Ch. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - A charge of 170 C is at the center of a cube of...Ch. 24 - Prob. 13PCh. 24 - A particle with charge of 12.0 C is placed at the...Ch. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Find the net electric flux through (a) the closed...Ch. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Determine the magnitude of the electric field at...Ch. 24 - A large, flat, horizontal sheet of charge has a...Ch. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - A nonconducting wall carries charge with a uniform...Ch. 24 - A uniformly charged, straight filament 7.00 m in...Ch. 24 - Prob. 32PCh. 24 - Consider a long, cylindrical charge distribution...Ch. 24 - A cylindrical shell of radius 7.00 cm and length...Ch. 24 - A solid sphere of radius 40.0 cm has a total...Ch. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Why is the following situation impossible? A solid...Ch. 24 - A solid metallic sphere of radius a carries total...Ch. 24 - Prob. 40PCh. 24 - A very large, thin, flat plate of aluminum of area...Ch. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - A long, straight wire is surrounded by a hollow...Ch. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48APCh. 24 - Prob. 49APCh. 24 - Prob. 50APCh. 24 - Prob. 51APCh. 24 - Prob. 52APCh. 24 - Prob. 53APCh. 24 - Prob. 54APCh. 24 - Prob. 55APCh. 24 - Prob. 56APCh. 24 - Prob. 57APCh. 24 - An insulating solid sphere of radius a has a...Ch. 24 - Prob. 59APCh. 24 - Prob. 60APCh. 24 - Prob. 61CPCh. 24 - Prob. 62CPCh. 24 - Prob. 63CPCh. 24 - Prob. 64CPCh. 24 - Prob. 65CPCh. 24 - A solid insulating sphere of radius R has a...Ch. 24 - Prob. 67CPCh. 24 - Prob. 68CPCh. 24 - Prob. 69CP
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- 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 P24.61arrow_forwardA sphere of radius R surrounds a particle with charge Q located at its center as shown in Figure P 24.51. Find the electric flux through a circular cap of half-angle θarrow_forward13. Calculate the total electric flux through the paraboloidal surface due to a uniform electric field of magnitude E, in the direction shown in Figure P24.13. d E, Figure P24.13arrow_forward
- A solid insulating sphere of radius 5 cm carries electric charge uniformly distributed throughout its volume. Concentric with the sphere is a conducting spherical shell with no net charge as shown in Figure OQ24.9. The inner radius of the shell is 10 cm, and the outer radius is 15 cm. No other charges are nearby. (a) Rank the magnitude of the electric Held at points A (at radius 4 cm), B (radius 8 cm), C (radius 12 cm), and I) (radius 16 cm) from largest to smallest. Display any cases of equality in your ranking, (b) Similarly rank the electric flux through concentric spherical surfaces through points A, B. C, and D.arrow_forwardA point charge is located at the origin. Centered along the x axis is a cylindrical closed surface of radius 10 cm with one end surface located at x = 2 m and the other end surface located at x = 2.5 m. If the magnitude of the electric flux through the surface at x = 2 m is 4 N . m2 /C, what is the magnitude of the electric flux through the surface at x = 2.5 m? Select one: a. 1.8 N . m2 /C b. 2.56 N . m2 /C c. 1.0 N . m2 /C d. 4.0 N . m2 /C e. 5.0 N . m2 /Carrow_forwardTwo infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P24.56. The sheet on the left has a uniform sur- face charge density σ, and the one on the right has a uniform charge density -σ. Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the Figure P24.56 two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value σ.arrow_forward
- 54. Figure P24.54 shows a cylindrical Gaussian surface endosing a segment of a long charged wire. Consider using a spheri- cal Gaussian surface to enclose the same segment of the wire. (a) Which surface, cylindrical or spherical, has the greater elec- tric flux through it? (6) Which surface is more appropriate for calculating the electric flux? Justify your answer. B Figure P24.54 Gausslan surface E charged wirearrow_forwardA spherical shell of radius 1.50 m contains a single charged particle with q = 24.0 nC at its center. (a) What is the total electric flux through the surface of the shell? N. m?/C (b) What is the total electric flux through any hemispherical portion of the shell's surface? N. m?/C Need Help? Read Itarrow_forward(a) Find the net electric flux through the cube shown in Figure P24.15. (b) Can you use Gaussslaw to find the electric field on the surface of this cube? Explain.arrow_forward
- The figure shows four particles, two of which are positively charged and two of which are negatively charged, where as labelled q = 5.00 pc and d = 4.00 cm. A closed spherical surface represented by a dashed line is of radius 1.3 d and is centred at P. Determine the magnitude of electric flux through this spherical surface.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_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_forward
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