The figure shows a closed Gaussian surface in the shape of a cube of edge length 3.20 m. It lies in a region where the electric field is given by É = (4.74x+ 5.17)î + 6.55ĵ+6.92 k N/C, with x in meters. What is the net charge contained by the cube?
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A: Given Radius = 7.00 cm Length = 2.36 m The magnitude of the electric field = 20.6 cm
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- The figure below shows a very large nonconducting sheet that has a uniform surface charge density of σ = −2.0 μC/m2; it also shows a particle of charge Q = 7.40 μC, at distance d from the sheet. Both are fixed in place. If d = 0.205 m, at what positive and negative coordinate on the x-axis (other than infinity) is the net electric field net of the sheet and particle zero? (a) positive coordinatex =___________m(b) negative coordinatex =_____________m(c) If d = 0.920 m, at what coordinate on the x axis is net = 0?x = ______________m (please show the units so that I can follow along easier)A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es=8.5 x 107 N/C. Approximately, what is the net charge on the shell? Assume rs = 4 cm. E (107 N/C) Es 0 Y's 2r, r (cm) 3r, 4rs 5rsThe figure shows a closed Gaussian surface in the shape of a cube of edge length 2.50 m. It lies in a region where the electric field is given by E = (1.60x +3.08)i +7.77 +5.70 kN/C, with x in meters. What is the net charge contained by the cube? Number i 1.2e-10 Units C x
- A charge Q-7.14 nC is located at the center of a Gaussian sphere of radius R=10.0 cm. The sphere lies within a uniform upward electric field of magnitude E=2100 N/C. The net electric flux through the sphere is :The figure shows, in cross section, three infinitely large nonconducting sheets on which charge is uniformly spread. The surface charge densities are o1 = 3.67 µC/m2, 02 = 4.78 µC/m2, and oz = -4.21 µC/m², and distance L = 1.80 cm. What are the (a) x and (b) y components of the net electric field at point P? L/2 2LThe electric field everywhere on the surface of a thin, spherical shell of radius 0.780 m is of magnitude 872 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface?
- The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.6 m, with one corner at x, = 4.8 m,y = 3.9 m. The cube lies in a region where the electric field vector is given by E = -2,41-3.8 y +2.4 k N/C, with y in meters. What is the net charge contained by the cube? Number i 6.3836 UnitsA solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of –Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4π∈0)–1? Choose the correct answer. kQ/b2 zero kQ/a2 kQr/a3 kQ/r2The figure shows a very large nonconducting sheet that has a uniform surface charge density o = -2.70 µC/m2; it also shows a particle of charge Q = 7.40 µC, at distance d from the sheet. Both are fixed in place. If d = 23.0 cm, at what (a) positive and (b) negative coordinate on the x axis (other than infinity) is the net electric field of the sheet and particle zero? (c) If d = 70.0 cm, at what coordinate is É net = 0? (a) Number Units (b) Number i Units (c) Number i Units >