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 49AP
To determine
The electric flux through the plane surface.
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Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.80 X 104 N/C as shown in Figure P24.4. Calculate the electric flux through (a) the vertical rectangular surface, (b) the slanted surface, and (c) the entire surface of the box.
A closed surface with dimensions a = b =
0.461 m and c = 0.7837 m is located as in
the figure. The electric field throughout the
region is nonuniform and defined by E
(a + Bx²) î where x is in meters, a = 3 N/C,
and 3 = 5 N/(C. m²).
Y
E
C.
b
X
What is the magnitude of the net charge
enclosed by the surface?
Answer in units of C. Answer in units of
Find the electric flux (in units of N.m2/C) through the surface of the rectangle ( 30 cm x 40 cm) in the figure given that E
= 399.7 N/C.
Normal
E
0-30
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 particle with charge Q is located a small distance δ immediately above the center of the flat face of a hemisphere of radius R as shown in Figure P24.21. What is the electric flux (a) through the curved surface and (b) through the flat face as δ → 0?arrow_forwardFigure P24.56 57 A spherically symmetriclcharge distribution has a charge density given by p electric field as a function of r. Suggestion: The charge within a sphere of radius R is equal to the integral of p dV, where r extends from 0 to R. To evaluate the integral, note that the volume element dV for a spherical shell of radius r and thickness dr is equal to 47r² dr. a/r, where a is constant. Find the B. An infiniteły long insulating cylinder of radius R has a vol- ume charge density that varies with the radius as p = Po REDMI NOTE 8T AI QUAD CAMERAarrow_forwardConsider the uniform electric field E = (3.5 j + 3.5 k) × 103 N/C. a) Calculate the electric flux through a circular area of radius 1.75 m that lies in the yz-plane. Give your answer in N·m2/C. b) Repeat the electric flux calculation for the circular area for the case when its area vector is directed at 45° above the xy-plane. Give your answer in N·m2/C.arrow_forward
- A 3.7 cm × 4.0 cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E (vector) =(120ı^−240k^)N/C? What is the electric flux through the rectangle if E (vector) =(120ı^−240ȷ^)N/C?arrow_forwardA cylindrical metal can have a height of 27 cm and a radius of 11 cm. The electric field is directed outward along the entire surface of the can (including the top and bottom), with a uniform magnitude of 4.0x10^5 N/C. a.) What is the surface area of the cylinder?arrow_forwardConsider the uniform electric field E = (3.5 jˆ + 3.5 kˆ) × 103 N/C. A) Calculate the electric flux through a circular area of radius 1.75 m that lies in the yz-plane. Give your answer in N·m2/C. B) Repeat the electric flux calculation for the circular area for the case when its area vector is directed at 45° above the x-axis (pointing in the direction of iˆ+kˆ). Give your answer in N·m2/C.arrow_forward
- A 3.2-cm-diameter circle lies in the yz-plane with unit vector n^ pointing in the +x-direction. What is the electric flux through the circle if the electric field is E =(2500i^−1500j^+4000k^)N/C?arrow_forwardA flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude 95.0 N/C that is directed at 200 from the plane of the sheet. Find the magnitude of the electric flux through the sheet.arrow_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
- A long thin conducting wire that carries a uniform linear charge density A=41.8 nC/m passes through the central axis of a cylindrical surface of length L= 0.19 m. Find the net electric flux (in Nm²/C ) through the surface. +++4 +arrow_forwardA circular loop of wire with a diameter of 0.626 m is rotated in a uniform electric field to a position where the electric flux through the loop is a maximum. At this position, the electric flux is 7.50 x 105 N-m²/C. Determine the magnitude of the electric field. O 2.44 × 106 N/C O 4.24 × 106 N/C O 1.07 x 106 N/C O 8.88 x 105 N/C O.6.00 x 106 N/C eTextbook and Mediaarrow_forwardA circular loop of radius 25.0 cm is placed in a uniform electric field given by E = (7.10 x 105 N/C)k. What is the electric flux through the loop if it is oriented in the following ways? (Enter the magnitude.) (a) parallel to the xy plane N. m?/C (b) parallel to the xz plane N. m2/C (c) What is the electric flux through the loop if it is oriented at a 45.0° angle to the xy plane? N. m2/Carrow_forward
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