1. Two concentric spherical surfaces enclose a point charge q. The radius of the outer sphere is twice that of the inner one. a. Is the electric field of the inner surface is greater than, less than, or equal to the electric field of the inner surface? Use a drawing to justify your answer. b. Is the electric flux of the inner surface is greater than, less than, or equal to the electric field of the inner surface? Use a drawing to justify your answer.
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Concept used:-
Electric field due to point charge = K(Q) /R^2 , at a distance R from the center.
Electric flux through a Gaussian surface is independent of the size of surface and equals to charge inclosed divided be epsilon not.
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- 1. Consider the two concentric conducting spherical shells shown in the figure in shaded grey. The inner shell has inner radius a, outer radius b, and net charge Q. The outer shell has inner radius c, outer radius d, and a net charge of –Q. a. Determine the electric field in all regions of space (r d) as a function of r, the distance to the center of the shells. b. Make an accurate plot of E(r) from r = 0 to r> d. Make sure to indicate values on both the horizontal and vertical axes. c. How is the charge distributed on the surfaces of each spherical shell? I.e., what is the total charge on the inner surface of the first sphere (at r = a), at the outer surface of the first sphere (at r= b), on the inner surface of the second sphere (at r= c), and on the outer surface of the second sphere (at r= d)? d. A point charge Q is now placed at the center of the two spherical shells. How is charge now distributed on the four surfaces at r= a, r= b, r= c, and r= d?A thundercloud produces a vertical electric field of magnitude 28.0 kN/C at ground level. You hold a 22.0 cm x 28.0 cm sheet of paper horizontally below the cloud. a. What is the electric flux through the sheet? b. What would be the flux be if you tilt the sheet of paper by 30°? c. What would be the flux be if you hold the sheet of paper vertically?Please help me by showing step by step.
- These are cross sections of 3D closed surfaces. The top and bottom surfaces, which are flat, are in front of and behind the screen. The electric field is everywhere parallel to the screen. Which closed surface or surfaces have negative electric flux? A. Surface A (а) 10 N/C 10 N/C B. Surface B 10 N/C 10 N/C C. Surface C D. Surfaces B and C E. All three surfaces (b) (c) 10 N/C 10 N/C 10 N/C 10 N/C 10 N/C 10 N/C р.A conducting spherical shell has an inner radius Rj and an outer radius Ro. 1) A charge Q is placed on the shell. Calculate the electric field E(r): a) for r> R. b) for R;3. Assume a solid conductor is placed next to a negatively charged sphere. This causes the surface of the conductor near the sphere to become positively charged so that the net electric field inside the conductor is zero. Now we cut a hole so that it is entirely encased by the conductor. а. Does removing part of the inside of the conductor affect the electric field? cross-section of 3D conductor b. What the electric field inside the hole? c. Explain why sensitive equipment are often placed inside conductors. For example, circuit boards are typically shipped in foil-lined bags while cell phone signals are weaker inside warehouses with metal sides.4. An electric field passes through a surface produces an electric flux 2 which has a magnitude of 46N.m Find the magnitude of the electric C field if the surface area is 0.04m2. b.1.74 N/C c. 1.84 N/C a. 1.64 N/C 5. An electric field (E=6.2N/C) passes through a flat surface area (0.50m2) with an angle of 60°. What will be the magnitude of the electric flux? -N.m2 а. 1.6. b. 2.6" N.m2 с. 3.6.m? C C1. A thin sheet of sides 2a and 2b lying in the xy plane and centered at the origin has a uniform charge density o (see figure). a. Using the result of Example 1 in the Chapter 23 slides, show that the electric field on the z-axis is given by of ab E = 4k,o arctan | zva² + b² + z². To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. b. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides. c. Using the results of part (a), find an integral expression for the electric field at an arbitrary point on the x-axis created by a cube of side 2a centered at the origin with uniform volume charge density p. You do not need to solve this integral.4. A point charge q is placed inside a spherical conducting shell of inner radius a and outer radius b as shown below. A total charge of -4q is placed on the conducting shell. For all parts below, answer in terms of q, a, b, and fundamental constants. b a. What is an expression for the electric field for 0please answer both parts with good explanation.A closed surface is in the form of a block with length c, width b and height a. In this room there is an electric field parallel to the x axis with magnitude: E = A + Bx, where A and B are constants. a. Determine the total flux over the closed surface. b. Determine the amount of charge covered by the payload. N x = a ko-A solid metal sphere has no net charge. A positive point charge is brought from infinity close to the surface of the sphere. a) Describe the electric flied inside the sphere. b) Describe the electric flied at the surface of the sphere. c) Describe the charge distribution inside the sphere. d) State the total charge inside the sphere.SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. 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