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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Given:
Edge of the cube =
The electric field at the top face, E =
The electric field at the bottom face,
Solution:
The total charge enclosed by the cube is determined by the total flux acting through the cube. There is no electric field that acts on the sides of the cube other than the top and bottom surfaces of the cube.
Similarly for the bottom surface,
The net flux will be
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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?Two charged concentric spherical shells have radii r = 2 cm and 4 cm. The charge on the inner shell is 4x10-6 C. and that on the outer shell is 1.5x10-6 C . What is the electric field at r = 8 cm?
- Point 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?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/CA point charge of -3.00 μC is located in the center of a spherical cavity of radius 6.90 cm inside an insulating spherical charged solid. The charge density in the solid is 7.35 × 10-4 C/m3 . Calculate the magnitude of the electric field inside the solid at a distance of 9.10 cm from the center of the cavity. Express your answer with the appropriate units. E=__
- A charge of -90.4 uC is placed on spherical conductor of radius 10.0 cm. Part (a) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 1.32 cm from the center of the sphere? E=_____ N/C. Part (b) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 7.08 cm from the center of the sphere? E= ______ N/C Part (c) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 17.1 cm from the center of the sphere. E= _______ N/CAt a distance r1 from a point charge, the magnitude of the electric field created by the charge is 392 N/C. At a distance r2 from the charge, the field has a magnitude of 109 N/C. Find the ratio r2/r1.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 workA small conducting ball that carries a charge of 30.0 nC is located at the center of an electrically neutral hollow conducting sphere with an inner radius of 100 mm and an outer radius of 150 mm. What are the surface charge density (a) on the sphere's inner surface and (b) on its outer surface? (c) Determine the electric field as a function of r, the radial distance from the center of the sphere.