46 ulDI 4:35A long insulating cylinder (L » a) with radius 2a carries a frozen-in polarization,where C is a constant and r is the radial distance from the axis of the cylinder.Coaxial with the cylinder, there is a long conducting cylindrical shell (L » a) with inner radius 2aand outer radius 3a. The conducting shell carries a total charge of -2Q.The electric field at a point distance r = a from the axis of the cylinder is:(a) E = -(b) Ẻ = 0—2Q — 2пCL(c) Ẻ =(d) Ē =--2Q + 27CL2rLEo3Q – 2TCLEO(e) E =(f) E

ong insulating cylinder (L » a) with radius 2a carries a frozen-in p B () ere C is a constant and r is the radial distance from the axis of the g axial with the cylinder, there is a long conducting cylindrical shell d outer radius 3a. The conducting shell carries a total charge of -2 e electric field at a point distance r = a from the axis of the cylinde

ong insulating cylinder (L » a) with radius 2a carries a frozen-in p B () ere C is a constant and r is the radial distance from the axis of the g axial with the cylinder, there is a long conducting cylindrical shell d outer radius 3a. The conducting shell carries a total charge of -2 e electric field at a point distance r = a from the axis of the cylinde

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter15: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 56AP: A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 5.20 C/m2 as...

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A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 5.20 C/m2 as in Figure 15.30. (a) Find the electric field at a distance of 8.70 cm from the plate. (b) Explain whether your result changes as the distance from the sheet is varied.
8. A flat sheet of paper of area 0.250 m2is oriented so that the normal to the sheet is at an angleof 60Oto a uniform electric field of magnitude 14 N/C. (a) Find the magnitude of the electric fluxthrough the sheet. (b) Does the answer to part (a) depend on the shape of the sheet? Why orwhy not? (c) For what angle between the normal to the sheet and the electric field is themagnitude of the flux through the sheet (i) largest and (ii) smallest? Explain your answers.(EXPLAIN ALL DETAILS) asap please
3. A sphere of radius R has a polarizationP(r) = kr,where k is a constant and r is the vector from its center.(a) Calculate the polarization charge densities σb and ρb.(b) Find the electric field E and the displacement vector D inside and outside the sphere.
An electric field of intensity 3.50 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if, a) the plane is parallel to the yz-plane, b) the plane is parallel to the xy-plane, and c) the plane contains the y-axis and its normal makes an angle of 40.0 degrees with the x-axis.
A 4-nC charged arc have radius of 2 m and arc angle of 60 degree. Find the electric field at the arc circular center. Now if the arc is straighted into rod of length 6 m, what will the electric field at that point (the distance from the center of the rod is still the radius) be?
a butterfly net is in a uniform electric field of magnitude E= 7mV/m. The rim of the net is a circle of radius a=1cm. If the rim is aligned perpendicularly with respect to the electric field, calculate the net electric flux through the netting in μNm^2/C^2
As seen in the figure, a ball with a mass of m =1g is in equilibrium with a neglected light rope in the area of uniform electric field. If theta θ=37 degrees in the electric field. Since E = (3.00i + 5.00j) x 105N/C:a) Determine the q load on the ball (in Coulomb)b) Determine the T tension in the string.
37. If the flux of the electric field over a given closed surface is zero, the surface can contain no charged objects. A. True B. False
An infinite straight line of charge of linear density λ lies along the x axis from negative infinity to positive infinity.a) Find the electric field and some point at perpendicular distance r away from the line of charge.b) Calculate the electric field if the line of charge has a linear density of λ = 2 nC/m, at a perpendiculardistance of 10 cm.
2. If there are more lines going out of the Gauss surface than there are lines going into the Gauss face, yes What can be concluded about the total charge contained within the Gaussian surface?
27 At what angle do electric lines of force enter and leave a charged surface for maximum electric flux? a. 0° b. 30° c. 60° d. 90°
3. A solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.