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At each point on the surface of the cube shown in Fig. 23-31, the electric field is parallel to the z axis. The length of each edge of the cube is 3.0 m. On the top face of the cube the field is
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- A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.arrow_forwardTwo solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.arrow_forward
- A ring shaped conductor with a radius 3.00 cm has a uniform charge density of -120.0 nC/m and it lies on a horizontal table top. Find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center. (p = 8.85 x 10-12 c²/Nm2, k = 9.00 x 109 Nm²/C²) 3.07 x 105 N/C, vertically downward 3.07 x 105 N/C, vertically upward 5.33 x 105 N/C, vertically downward 1.00 x 105 N/C, vertically upward 5.79 x 104 N/C, vertically downward 5.79 x 104 N/C, vertically upward 5.33 x 105 N/C, vertically upward 1.00 x 105 N/C, vertically downwardarrow_forwardA planet has an electric field pointing toward its centre and having an average magnitude of about 1.2 × 10^2 N/C at its surface. (a) What is the sign of the charge on the planet? (b) What is the charge on the planet, assuming that all the charge is concentrated at the centre? This assumption is valid for a spherically symmetric object with a surface charge. The radius of the planet is 3.24 × 10^6 m.arrow_forwardA non-conducting sphere of radius R= 17.3cm carries a charge Q= -18.1mC distributed uniformly throughout its volume. At what distance, measured from the center of the sphere, does the electric field reach a value equal to half its maximum value?arrow_forward
- The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?arrow_forwardA very long uniform line of charge has charge per unit length -2.50 nC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -4.50 nC/m and is parallel to the x-axis at y = 0.700 m. What is the net electric field (magnitude and direction) at point on the y-axis and y = 0.500 m? (so = 8.85 x 10-12 c²/Nm²) 89.9 N/C, -y direction 494.5 N/C, +y direction 314.7 N/C, +y direction 72.0 N/C, +y direction 251.8 N/C, +y direction 89.9 N/C, +y direction. 404.6 N/C, +y direction 404.6 N/C, -y direction 251.8 N/C, -y direction 314.7 N/C, -y direction 494.5 N/C, -y direction 72.0 N/C, -y direction Jarrow_forwardA finite line of charge with linear charge density 2 = 3.95 x 10-6 C/m and length L = 0.874 m is located %3D along the x-axis (from x = 0 to x = L). A point charge of q = -6.88 x 10-' C is located at the point xo = 1.98 m, %3D Yo %3D yo = 3.00 m. Find the electric field (magnitude and direction P as measured from the +x-axis) at the point P, which is located + + + along the x-axis at xp = 10.90 m. L- The Coulomb force constant is k = 1/(4x/e0) = 8.99 × 10° (N-m²)/C². %3D %3D E = N/C %3Darrow_forward
- 1) A charge Q is uniformly distributed throughout a nonconducting sphere of radius R. (a) What is the magnitude of the electric field at a distance R/2 from the center of the sphere? (b) What is the magnitude of the electric field at a distance 2R from the center of the sphere?arrow_forwardA finite line of charge with linear charge density 2 = 2.00 x 10-6 C/m and length L = 0.918 m is located along the x-axis (from x = 0 to x = L). A point charge of q = -6.44 x 10-" C is located at the point xo = 1.70 m, Yo = 4.75 m. Find the electric field (magnitude and direction as measured from the +x-axis) at the point P, which is located + + along the x-axis at xp = 11.10 m. The Coulomb force constant is k = 1/(4z/eo) = 8.99 × 10° (N-m²)/C². E = N/Carrow_forwardCharge Q is uniformly distributed in a sphere of radius R. (a) What fraction of the charge is contained within radius r-0.207R? (b) What is the ratio of the electric field magnitude at r= 0.207R to that on the surface of the sphere? (a) Number Units (b) Number Unitsarrow_forward
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