4) Using the charge distribution given in Problem 3, find the electric flux over a sphere centered at point P and of radius a) 0.1 m, b) 0.37 m, c) 0.2 m.
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- 2. The net electric flux through a closed surface is (Elaborate) A) infinite only if there are no charges enclosed by the surface B) infinite only if the net charge enclosed by the surface is zero C) zero if only negative charges are enclosed by the surface D) zero if only positive charges are enclosed by the surface E) zero if the net charge enclosed by the surface is zero3) Calculate the size of the force that would be experienced by a 3 μC charge placed into a uniform electric field of strength 1 x 105 N/C.10. A uniform electric field E = (12 ĵ + 16 k) N/C penetrates a circular surface of area 3.2 m² lies in the x-y plane as shown. The electric flux DE (in N. m²/C) through this surface is: a) 51.2 a) 396 b) 588 c) 696 d) 852 e) 984 b) 70.4 a) 36 c) 89.6 11. Two points (M) and (P) separated by 1.3 m in a uniform electric field E = 820 V/m directed along the x-axis as shown. The electric potential difference (VM - Vp) (in Volts) is b) 45 d) 99.2 c) 54 e) 128 d) 63 CI 0.5 m e) 72 M 3m 12. Three-point charges Q₁ = -16 nC, Q₂² = +5 nC, and Q3 = +30 nC are placed at the corners of the shown rectangle. The net electric potential (in V) at point (A) is: Q3 Q₂ P 4 m E [T Page 3/4 3 m Q₁
- 5) A spherical shell with outer radius b surrounds a charge-free cavity of radius a < b (Fig. 2). If the shell contains a charge density given by Pvo Pv = aQ1) If there are three uniform spherical charge densities of rowS, 8 nC/m^2, and 30 nC/m^2 at diameters of 10m, 8m, and 2m, respectively, in free space.1. Find the electric flux densities at radii of 3 and 5 m.2. Calculate the rowS that makes the electric flux density equals zero at a diameter of 14 m.9) An electric charge is distributed across a triangular plate whose vertices lie at (0,1), (1,0) and (1,1) on the xy plane. The function f(x,y) = xy gives the charge density of each point on the plate. Find the total charge on the plate.Problem 2 (30 points) An insulating rod has a total charge of 6.0 x 10* C. Its total length is 30 cm long and it is bent into a semicircle. a) Find the electric field vector at C, the center of the semicircle. b) Now, a second semicircle with a negative charge of 6.0 x 10* C. is brought underneath the original semícircle. Find the new electric field vector created by both semicircles.22) More electric flux and a cube Taken from another textbook. Consider a cube with sides of length a and one point charge +q at the corner of the cube as illustrated below: +q a) Explain why the flux through any of the three sides of the cube not touching the point charge (like the gray shaded one) is given by 24€0 b) Explain why the flux through any of the three sides of the cube touching the point charge is zero. Hint: It will be helpful to make a larger (boxy) structure that completely encloses the charge.QUESTION 3 A circular ring of charge with radius 2 m lies in the 2 = 0 plane, with center at the origin. If the uniform charge density is Pe = 10nC/m, find the point charge & at the origin which would produce the same electric field Ễ at (0, 0, 5) m.The following sequence of problems guides you through the calculation of the total electrie field at a target point in space when there are two source partieles. We'll stick to two dimensions (get rid of the z-axis) just to reduce some of the arithmetic. The source partieles are both located on the z-axis with source 1 at z = 5 em and source 2 at za = -5 cm. Source 1 has charge -5 uC while source 2's charge is 3 uC.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. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON