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A point charge
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?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 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_forward
- The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.arrow_forwardA point charge q = -5.5x 10 C is placed at the center of a spherical conducting shell of inner radius 2.8 cm and outer radius 3.3 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 9.0 N/C. (a) What is the charge density (in C/m2) on the inner surface of the shell? C/m² (b) What is the charge density (in C/m2) on the outer surface of the shell? C/m² (c) What is the net charge (in C) on the conductor?arrow_forwardCharge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude E = 940 N/C. What are (a) the volume charge density for the sphere and (b) the electric field at a distance of 2.00 cm from the sphere’s center?arrow_forward
- A spherical shell is constructed in three non-conducting layers. The first layer 2a has an inner radius A, an outer radius B, and a non-uniform charge density p r3 + 5B where a and ß are constants. The second layer has an inner radius B, an outer radius C, and a uniform charge density. The final layer has an inner radius C, and outer radius D, 8e-nr and a non-uniform charge density p = where n is a constant. The total charge of r the structure is arranged such that the electric field is zero for r> D. a. What is the total charge contained in the first layer of the structure? b. What is the total charge contained in the second layer of the structure? c. What is the total charge contained in the third layer of the structure? d. What is the magnitude of the electric field strength for Aarrow_forwardA thick insulating spherical shell of inner radius a=2.1R and outer radius b=9.9R has a uniform charge density p. pR What is the magnitude of the electric field at r=4.5 R ? Express your answer using one decimal place in units ofarrow_forwardCharge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 840 N/C. The charge density is calulated as: p = 2.2×10−6 Cm3 What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center?arrow_forwardA long cylindrical insulating shell has an inner radius of a=1.43 m and an outer radius of b=1.63 m. The shell has a constant charge density of 1.6×10−9 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=1.89 m from the axis? for this I got 33.939 N/C which was wrong. C) If we take the potential at the axis to be zero, what is the electric potential at the outer radius of the shell? for this I got 3.463 V which was wrongarrow_forwardCharge 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?arrow_forwardA thick insulating cylindircal shell of inner radius a=2.9R and outer radius b=6.8R has a uniform charge density p. PR What is the magnitude of the electric field at r=8.3 R ? Express your answer using one decimal place in units ofarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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