At each point on the surface of the cube shown in the figure the electric field is parallel to the z axis. The length of each edge of the cube is 2.4 m. On the top face of the cube the electric field E = 27k N/C and on the bottom face it is E = +23k N/C Determine the net charge contained within the cube.
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- A solid metal sphere is shown at the center of a hollow metal sphere. The electric field 8cm away from the center of the inner sphere has a magnitude E1=9.2 N/C and direction as shown. The electric field 17cm away from the center of the sphere has a magnitude of E2 = 7.6 N/C and direction as shown. What is the total charge on the inner surface of the hollow sphere?A long insulating cylindrical shell has an inner radius of a=1.39 m and an outer radius of b=1.64 m. The shell has a constant charge density of 8.6×10-9 C/m3 . The picture shows an end-on cross-section of the cylindrical shell. a) What is the magnitude of the electric field at a distance of r=1.88 m from the axis? b) What is the magnitude of the electric field at a distance of r=1.56 m from the axis? c) What is the magnitude of the electric field at a distance of r=0.87 m from the axis?At each point on the surface of the cube shown in the figure the electric field is parallel to the z axis. The length of each edge of the cube is 2.5 m. On the top face of the cube the electric field E→=-48k̂ N/C and on the bottom face it is E→=+20k̂ N/C. Determine the net charge contained within the cube.
- Two uniform spherical charge distributions (see figure below) each have a total charge of 31.8 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere. N/C R = 15.2 cm -37.50 cm 30.0 cm- R = 15.2 cm B 7.5 cmIn the figure, a solid insulating sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00 a and of outer radius c = 2.40 a. The sphere has a net charge of q₁ = +5.00 fC uniformly distributed throughout its volume; the shell has a net charge q2 = -91. What is the magnitude and direction of the electric field at radial distances (a) r = 0.50 a and (b) r = 2.30 a? (c) What is the net charge on the inner and outer surface of the shell? (d) Include a diagram of the Gaussian surfaces used in your calculations. a C bPoint P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?
- The figure gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by Es = 4.3 × 107 N/C. What is the charge on the sphere?A spherical shell of radius 9.0 cm carries a uniform surface charge density σ = 9.0 nC/m2. The electric field at r = 16 cm is approximately Group of answer choices 1.0 kN/C zero 0.53 kN/C 0.32 kN/C 0.13 kN/CIn the figure a nonconducting rod of length L = 8.42 cm has charge -q = -4.46 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 15.4 cm from the rod? What is the electric field magnitude produced at distance a = 51 m by (d) the rod and (e) a particle of charge -q = -4.46 fC that replaces the rod?
- At each point on the surface of the cube shown in the figure the electric field is parallel to the z axis. The length of each edge of the 40k N/C and on the bottom face it is E = + 16k N/C . cube is 2.9 m. On the top face of the cube the electric field E Determine the net charge contained within the cube.The figure below shows three charged spheres arranged along the y axis. (Assume 91 = 75.0 cm 22.0 cm 91 –4.80 μC 92 X (a) What is the electric field at x = N/C = 0, y = 3.50 m? (b) What is the electric field at x = 3.50 m, y = 0? Z N/C 2.70 μC and 92 = 4.15 μC. Express your answers in vector form.)In the figure shown, the inner sphere carries a charge of Q1=-14.83nC and the outer spherical shell carries a charge of Q2=17.87nC. Both shells are concentric and nonconducting with uniform charge distributions. The radii of the the shells are: a1=6.95cm, b1= 16.05cm, a2=39.14cm and b2=73.14cm. Determine the magnitude of the electric field a a distance r=44.62cm from the center of the sphere (in N/C). I need to show all work