A nonuniform electric field is given by the expression E = ayî + bzj + cx k, where a, b, and c are constants. Determine the electric flux (in the +z direction) through a rectangular surface in the xy plane, extending from x = 0 to x = w and from y = 0 to y = h. (Use any variable or symbol stated above as necessary.) PE= Need Help? Read It
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0Eo B. EVALUATION: Solve the following problems correctly. Write your complete solution in a vellow pad paper and write your final answer on the answer sheet provided. (Always attach your solution to the answer sheet for reference. No solution means deduction to the score) 1. The total electric flux from a cubical box of side 28.0 cm is 1.45x10°N/m?/C². What charge is enclosed by the box?
- = Adx. Then find the net field by integrating dE over the length of the rod. Use the following as The charge per unit length on the thin rod shown below is 2. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge . necessary: L, a, 2, and ɛn. Enter the magnitude. Assume that A is positive.) L A 1 E = 4ne L+A aPart A In terms of the total charge Q, estimate the electric field on the axis at point 0.02R from the center of the ring. Express your answer in terms of some or all of the variables Q, Ro, and the appropriate constants. E0.02 Ro Submit Part B E75 Ro = = VE ΑΣΦ In terms of the total charge Q, estimate the electric field on the axis at point 75Ro from the center of the ring. Submit Request Answer Express your answer in terms of some or all of the variables Q, Ro, and the appropriate constants. VE ΑΣΦ ? Request Answer X ?A closed surface with dimensions a = b 0.272 m and c = the figure. The electric field throughout the region is nonuniform and defined by E (a+ Br)î where r is in meters, a = 3 N/C, and 3 = 5 N/(C -m²). 0.4896 m is located as in E What is the magnitude of the net charge enclosed by the surface? Answer in units of C. A. to sh What is the sign of the charge enclosed in the surface? R 1. Cannot be determined 2. Negative 3. Positive
- A square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux (in N · m2/C) through the square, when the normal to it makes the following angles with the electric field. Note that these angles can also be given as 180° + θ. a. 36degrees b. 90 degrees c. 0 degreesGood morning could you help me to solve the following problem?Thanks in advanceA ring of radius a carries a uniformly distributed positive total charge. uniformly distributed. Calculate the electric field due to the ring at a point P which is at a distance x from its center, along the central axis perpendicular to the plane of the ring. Use fig. a The fig.b shows the electric field contributionsof two segments on opposite sides of the ring.1. An thin rod bent into the shape of an arc of a circle of radius R carries a uniform charge of linear density (i.e. charge on per unit length) 1. The arc subtends a total angle 20,, symmetric about the x axis. Determine the electric field at the origin O. See Fig.1 below. R R Fig.1 for problem 1.
- A "long" hollowed out cylinder of inner radius R and outer radius 2R carries a uniform charge density po. A "long" rod of uniform linear charge density do is coaxial with the cylinder as indicated in the diagram. What is the electric field in the hollowed out region (1.e. rA sphere of radius R has total charge Q. The volume charge density (C/m') within the sphere is p(r) = C/r² , where C is a constant to be determined. 1. Use the expression to find a magnitude of an electric field strenght E : a) inside the sphere (rFollowing the previous question, the x-component of the net electric field at x = -1.00 m, Enet.x , is N/C. Use normal format and 3 significant figures.SEE MORE QUESTIONSRecommended textbooks for youPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning