The electric field everywhere on the surface of a hollow sphere of radius 0.75m is measured to be equal to 8.90×102N/C and points radially toward the center of the sphere. (a) What is the net charge within the surface? (b) What can you conclude about charge inside the nature and distribution of the charge inside the sphere?
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![Problem 5
The electric field everywhere on the surface of a hollow sphere of
radius 0.75m is measured to be equal to 8.90×10²N/C and points
radially toward the center of the sphere.
(a) What is the net charge within the surface?
(b) What can you conclude about charge inside the nature and
distribution of the charge inside the sphere?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdbe40a8-066a-4965-8e39-eb0ba2d65265%2F68a8cf44-9d40-408e-aafc-22cd108ed181%2F27vqc26_processed.jpeg&w=3840&q=75)
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- The electric field everywhere on the surface of a thin, spherical shell of radius 0.700 m is of magnitude 855 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? 1.16e-8 If a positive charge exists inside the sphere, what direction would the electric field point outside the sphere? nC (b) What is the distribution of the charge inside the spherical shelI? O The positive charge has a spherically symmetric charge distribution. O The negative charge has a spherically symmetric charge distribution. O The negative charge has an asymmetric charge distribution. O The positive charge has an asymmetric charge distribution.In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cmA square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. (b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.
- We have a nonconducting solid sphere of radius 3.4 cm carrying a uniformly distributed positive charge of 7.6 nC. a) What is the magnitude of the electric field at a point 1.6 cm from the center of the sphere? b) What is the magnitude of the electric field at a point 4.4 cm from the center of the sphere?The electric field along the axis of a ring-shaped charge of total charge q distributed uniformly is given by E = where R is the radius of the ring and z is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At a certain distance along the z-axis the electric field strength is maximum. What is the electric field strength at this point? 9 3√√√3лE R² 9 2√√3лER² 9 5√√3лε R² 9 6√√3лE R² qz 4лεo (z² + R²) ³/2 0 q 4√3лER²The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁
- The 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?A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 3.00×10-2 m. The charge density is 4.00×10-2 C/ m3. a)What is the electric field at r = 1.50×10-2 m? b)What is the electric field at r = 6.00×10-2 m?
- In the figure a nonconducting rod of length L = 8.39 cm has charge -q = -4.42 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 = 12.7 cm from the rod? What is the electric field magnitude produced at distance a = 80 m by (d) the rod and (e) a particle of charge -q = -4.42 fC that replaces the rod?Show that for a charged circular ring of radius a and total charge Q, the electric field anywhere inside the plane of the ring would be zero if the electric field was inversely proportional to r not r2. Your answer is partly verbal and graphical.