Determine the electric field at the origin due the quarter circle of charge in the figure. The arc has a uniform charge density of -a C/m and a radius of a m. Express your answer as a vector in terms of the total charge, Q. dQ
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- 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 0Q. 1. Define electric flux and write its SI unit. The electric field components in the figure shown are: + CORDO a Ex X Z 100 N E₁ = ox, Ey = 0, E₂ = 0 where a = Cm the charge within the cube, assuming a = 0.1 m. · Calculate+Q 1. Suppose that a charged rod of uniform charge density A is formed into a semi- circle of radius R. Find the net electric field produced at the center at point P where the left half of the semi-circle holds a total charge of -Q while the other half is +Q as shown above. Express the electric field as a vector format (E).
- +Y ↑ +X In figure-1, the coordinate of charge g = 17 µAs R (4,4), the coordinate of charge = 12 uAs P (11, 4) and the coordinate of charge 9 = 15 µas P (11,9) The coordinates have centimeters as unit. a Find the vector pointing from g to 2. This vector is denoted by 712- rcomponent of 12 Give your answer to at least three significance digits. ст y component of 12 Give your answer to at least three significance digits. bFind the unit vector 12. rcomponent of Ê12 Give your answer to at least three significance digits. cm y component of 12 Give your answer to at least three significance digits. cm SubmitA 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 (rPage: 112 34. Вy Theorem, evaluate curl E ds for field using Stokes' the vector F=(x-y)i+(y-z)j+(z-x)k where surface S is sphere x2 +y2 +z? =9 bounded by x =0 and z=0 with positive orientation. Answer: 97A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. a. The charge within a small volume dV is dq=ρdV. The integral of ρdV over the entire volume of the sphere is the total charge Q. Use this fact to determine the constant C in terms of Q and R.Hint: Let dV be a spherical shell of radius r and thickness dr. What is the volume of such a shell? Express your answer in terms of the variables Q and R. b. Use Gauss's law to find an expression for the magnitude of the electric field strength E inside the sphere, r≤R, in terms of Q and R. Express your answer in terms of the variables R, r, Q, and ϵ0.Electric Fields 3. A plastic rod is bent into the quarter circle of radius R as shown below. A total positive charge of Q is evenly distributed along the rod. a. In terms of the given quantities, what is the linear charge density A? b. Set up the two integrals you would evaluate to find the components of the electric field. The integrals should be written in terms of the given quantities {Q and R} Ex Ey с. Evaluate your integrals to write down the electric field vector at the origin. y E = -f 10 + +Question 1 Four stationary electric charges produce an electric field in space. The electric field depends on the magnitude of the test charge used to trace the field O has different magnitudes but same direction everywhere in space is constant everywhere in space has different magnitude and different directions everywhere in space CANADA 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. PositiveDraw the problem and answer, thanks. A charge emanates an electric field of 112 N/C. If this field is placed on a circular surface with a radius of 38 µ m & is angled at 84 degrees from the surface, what is the electric flux?A thin wire is bent into the shape of the semicircle illustrated below. The radius of the semicircle is denoted by the symbol a and the negatively charged wire has total charge -Q and uniform charge density. Derive an equation for the electric field at the origin in terms of k, Q, a, and appropriate unit vectors. y dq RSEE MORE QUESTIONS
