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An electric field given by
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- 38 In Fig. 23-48a, an electron is shot directly away from a uni- formly charged plastic sheet, at speed v, = 2.0 x 10° m/s. The sheet is nonconducting, flat, and very large. Figure 23-48b gives the electron's vertical velocity component v versus time t until the return to the launch point. What is the sheet's surface charge density? 12 -e t (ps) (a) (b) v (10 m/s)arrow_forwardConsider the following figure. (If you need to use co or-co, enter INFINITY or -INFINITY, respectively.) (a) (b) 0 -20 +9 5 5 +9 -2q +3q 10 10 +q x (cm) x (cin) -9 (a) Find the total electric field in N/C at x = 8.00 cm in part (b) of the figure above given that q = 1.00 μC. INFINITY ✔ N/C (b) Find the total electric field in N/C at x = 11.50 cm in part (b) of the figure above. (Include the sign of the value in your answer.) INFINITY X N/C (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be? Use the following as necessary: q.)arrow_forwardConsider a cube of length of one side 2 m is place in a uniform electric filed 60 V/m i is shown below. Rank the electric flux through the surfaces 1,2, and 3 in ascending order. 2 1 (a) 1=2=3 (b) 1=2<3 (c) 2=3<1 (d) 1=3<2 3 Xarrow_forward
- (a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?arrow_forwardA uniform electric field of magnitude 1.15×104N/C×104N/C is perpendicular to a square surface with 2.9 m side lengths. what is the magnitude of the electric flux through the surface, in newton squared meters per coulomb?arrow_forwardLet the electric field in a certain region of space be given by E (F)= CF/ €, a² where a has dimension of length and C' is a constant. The charge density p(F) is given by (a) p=0 (b) p = 3Cla (c) p = C €, la (d) p = C/e, [H.C.U.-2013]arrow_forward
- Find the electric field at P in the figure shown below. (Take r = 1.6 m and 0 = 44°. Measure the angle counterclockwise from the positive x-axis.) magnitude O direction P r 9= 10×10-⁹Carrow_forwardGiven a 3.00 mm radius solid wire centered on the z-axis with an evenlydistributed 2.00 coulombs of charge per meter length of wire, draw the figure ofthe electric flux density Dp versus radial distance from the z-axis over the range 0≤ p≤ 9 mm.arrow_forward*61. ssm A cube is located with one corner situated at the origin of an x, y, z coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first octant of the coordinate system. The edges of the cube are 0.20 m long. A uniform electric field is parallel to the x, y plane and points in the direction of the +y axis. The magnitude of the field is 1500 N/C. (a) Using the outward normal for each face of the cube, find the electric flux through each of the six faces. (b) Add the six values obtained in part (a) to show that the electric flux through the cubical surface is zero, as Gauss' law predicts, since there is no net charge within the cube.arrow_forward
- Figure (a) shows a nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/25 of circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P (see Figure (b)), by what factor is the magnitude of the electric field at P multiplied? (a) +Q Number R i P MI Units +Q |—R— P This ansarrow_forward34 In Fig. 23-45, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density o= 4.50 pC/m?. A z axis, with its origin at the hole's center, is perpendicular to the surface. In unit- vector notation, what is the electric field at point Pat z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) %3D Rarrow_forward8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm? | 9+ barrow_forward