In a certain region R of free space, the components are: of an electric electrostatic field, Ex-E₂-0, Ey-by² b is a constant: b-800 N/C.m¹ 1/2 Find the flow of electrostatic field (in N-m²/C), through the cube of sides a=20 cm.
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- The figure below is a cross section of three non . plates conductor of infinite width, where the charge is evenly distributed. 01 02 (1/2) L . 2L R 03 The charge density on the surface of each plate is 1 = - 3µC/m2, 2 =+ 5µC/m2 , 3 = - 5µC/m2 , and L = 2 cm. In vector notation, what is the field net electricity at points P and R?.00 44E0 Give an expression for the electric field strength E at a point in terms of the charge q and distance r from the charge to that point. Use k for k = 47). Flag question (i.e. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as π, a etc. use pi, alpha. For example to get 1 AVAB use 1/pi* A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.gif L is given, then do not use 1. Please use "Display response" button to check the you entered correct expression, before submitting your answer. л вE(r) = Bzi - ax'y'j+ (6@yxy + Bóz³) k %3D where a, B, y and & are constants and r = xi+yj+zk. Find the corresponding charge density p(r).
- A thick insulating spherical shell of inner radius a = 3, 13R and outer radius b = a uniform charge density p. = a b 10, 73R has What is the magnitude of the electric field at r = 14, 82R? Express your answer using two PR decimal places in units of1.6. A uniformly charged insulating rod is bent into the shape of a semicirele of radius R = 5 cm. If the rod has a total charge of Q = 3.10°C, find the magnitude and direction of the electric field at 0, the center of the circle. (Answer: E = 6,84.10ʻV/m)A solid insulating sphere of radius R has a volume charge density p given by p= pexp(-r/a"), where po.a >0 are both constants and r is the distance from the center of the insulator. Which of the following gives the correct expression for the electric fiekd magnitude at a distancer< R inside the insulator? A. E- exp В. Е exp fo 3 c. E = - (-)} D. E = - e(-)} exp E. E= 1-exp
- The electric field at a point in space is definedas the force per unit charge at that point inspace. We can write the electric field E ofa charge q at a distance d from that charge,experienced by a charge Q, asE =FQ= kqd2.The electric field has a direction such that itpoints toward negative charges and away frompositive charges. Suppose your rub a balloonin your hair and it acquires a static charge of−2 × 10−9 C.What is the magnitude of the electric fieldcreated by the balloon at a location 1 m duenorth of the balloon? Coulomb’s constant is9 × 109 N · m2/C2.Answer in units of N/C. You hair acquired an equal amount of positivecharge when you rubbed the balloon on yourhead.What is the strength of the electric fieldcreated by your head at the location of yourfeet, 1.5 meters below?Answer in units of N/C.1 ! 7 A skát с A spherically symmetric charge distribution produces the electric field E=( 5400 r²) N/C, where r is in m. Z mylabmastering.pearson.com/?courseld=12649908&key=55673220682936520262024#/ 2 pos W S X 3 20 F3 E D $ 4 C 888 R F What is the electric field strength at r= 16.0 cm ? Express your answer in newtons per coulomb. VG ΑΣΦ 4 Submit Part B Submit Part C What is the electric flux through a 32.0-cm-diameter spherical surface that is concentric with the charge distribution? Express your answer in newton meters squared per coulomb. ΕΠΙ ΑΣΦ % [VG| ΑΣΦ 5 Request Answer V FO Request Answer T How much charge is inside this 32.0-cm-diameter spherical surface? Express your answer in coulombs. G 4 a ^ 6 C 244 MacBook Air Y B SMC & ? 7 H ? N/C 80 F7 N-m²/C U C N H 8 - DII FS 1 ( 9 M DD K chegg.com X C ☆ O O MOSISO O 4 PThe 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)?
- Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric field due to the alpha particle at the location of the electron? (b) What is the electric field due to the electron at the location of the alpha particle? (c) What is the electric force on the alpha particle? On the electron?Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.