Four closed surfaces, S₁ through S₂, together with the charges -2Q, Q, and -Q are sketched in Figure. (The colored lines are the intersections of the surfaces with the page.) What is the flux through closed surface S2? Lütfen birini seçin: Oa. -Q/ɛo O b. -20/80 ○ C. +Q/80 ○ d. 0
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- The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of magnitude 890 N/C and points radially toward the center of the sphere. (a) What is the net charge within the spheres surface? (b) What is the distribution of the charge inside the spherical shell?A cubical gaussian surface surrounds a long, straight, charged filament that passes perpendicularly through two opposite faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).A thick, conducting, spherical shell of inner radius a and outer radius b carries an excess charge of −2Q. At the center of the spherical shell, a point charge −Q is placed. A. How is the charge −2Q distributed on the think spherical shell? (Just give an answer.) i. How much charge is on the surface of radius a ii. How much charge is on the surface of radius b B. What is the direction of the electric field (radially inward, radially outward or zero) in each of the following regions. (Just give an answer in the table provided.) r < a a <r r> b
- A spherical Gaussian surrounds a point charge q. Describe what happens to the total flux through a surface if the charge is quadrupled? With precise explanation plsA spherical Gaussian surrounds a point charge q. Describe what happens to the total flux through a surface, if the charge is moved from another location inside the surface? With precise explanation plsA spherical Gaussian surrounds a point charge q. Describe what happens to the total flux through a surface, if the surface is changed to cone? With precise explanation pls
- c. i. Compare the electric flux in a cubical surface of a side 10cm and spherical surface ofradius 10 cm, when a charge of 5µC is enclosed by them.ii. How does the electric field enclosing a given charge vary when the area enclosed bythe charged is doubled. Assuming the electric flux is constant.What is the electric flux through one side of a cube that has a single point charge of -3.7 µC placed at its center? Hint: You do not need to integrate any equations to get the answer. in N·m2/CIn the figure two objects O1 and O2 have charges +1.0microC and -2.0microC, respectively, and the third object O3 is electrically neutral. a) what is the electric flux through the surface A1 that encloses all three objects? B) what is the electric flux through the surface A2 that encloses the third object only?
- What would be the electric field for z0 << R and z0 >> R for the following integral? The integral is the answer to the following question: "A uniformly charged disk with charge Q and radius R sits in the xy-plane with its center at theorigin. Take z0 to be some point on the positive z-axis. What is the electric field at z0? Leave your answer in the form of a well-defined definite integral."Problem 2: A closed hollow cylinder (i.e., with capped ends) is situated in an electric field given by E(u) = E0(u5i + 7j + 22k). The cylinder’s axis is on the x-axis with its center at the origin. The cylinder’s height is L and its radius is R. Here u = x/x0 is a dimensionless variable, where x0 sets the scale of the field. Refer to the figure. Part (a) Integrate to find an expression for the total electric flux through the cylinder in terms of defined quantities and enter the expression. Part (b) For L = 8.7 m, R = 0.25 m, E0 = 4.5 V/m, and x0 = 1 m, find the value of the electric flux, in units of volt•meter, through the cylinder. Part (c) If the electric field is E(u) = E0(323u2i + 42j + 415k), enter an expression for the total flux in terms of defined quantities.Three objects O1 , O2and O3, have charges +3.0nC, +1.0nC and -2.0nC, respectively. What is the electric flux through the surface A2?