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This is a cross section of two nested spheres. The outer sphere is a thin conductor...
Could you explain how to solve this clearly and neatly please? This is a cross section of two nested spheres. The outer sphere is a thin conductor of radius M with a uniform charge distribution -o and total charge -Q along its surface. The inner sphere is a solid insulator of radius L. It has a uniform volume charge density of ρ a total charge of +Q. There is a vacuum between them. Region C 1.) (3pts) Determine the electric...
Consider two concentric conducting spheres. The outer sphere is a hollow shell, with an outer radius of a1 = 11.0 cm and a thickness of 0.50 cm. It initially has a charge Q1= -11.0 nC deposited on it. The inner sphere is solid of radius a2 = 5.00 cm, and it has a charge Q2 = +3.00 nC on it. (a) How much charge is on the outer surface of the shell? (b) How much charge is on the inner...
A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. 1. Show that the capacitance is ab/k(b − a) when the space between the inner and outer spheres is empty. Start with the result from Gauss’s law for the field outside a uniform spherical charge distribution (derive the potenital difference between the spheres). 2. What is the capacitance if a = 0.1 m and b = 0.103...
Consider two thin, concentric conducting spherical shells with radii r1 = 0.50 m and r2 = 1.0 m. A charge of +1.0 mC is placed on the inner sphere and a charge of +2.0 mC is placed on the outer sphere. Set the potential at infinity to be 0. Determine (a) the field inside the inner sphere, (b) the charge on the inner surface of the outer conductor, (c) the magnitude of the E-field midway between the inner and outer...
Flag question The outer sphere of two concentric conducting spheres of radii 9 cm and 15 cm is grounded. Charge q=8 nC is placed on the inner sphere. The outer conductor then contracts from radius 5 cm. Calculate the work done by the electric force.
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a, b < r < c, and r > d. Note...
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has a total charge of -2q and the outer shell has a total charge of +4q. The total charge on the outer surface of the large shell is +2q. The radial component of the electric field in the region c <r < d is given by -2q/(4nε0r2). The total charge on...
A nonconducting sphere is made of two layers. The innermost section has a radius of 6.0 cm and a uniform charge density of −5.0C/m3. The outer layer has a uniform charge density of +8.0C/m3 and extends from an inner radius of 6.0 cm to an outer radius of 12.0 cm. Part A Determine the electric field for 0<r<6.0cm. Part B Determine the electric field for 6.0cm. Part C Determine the electric field for 12.0cm<r<50.0cm.
Guided Problem 4 -Gauss's LawA solid, insulating sphere of radius a has a uniform charge density ρ and a total charge Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and c as shown in the following figure. (a) Find the magnitude of the electric field in the regions: r<a, a<r<b, and r>c. (b) Determine the induced charge per unit area on the inner and outer surfaces of the hollow sphere.Solution scheme:...
The figure shows a hallow metal sphere with inner radius 2.10 cm and outer radius 13.1 cm and a point charge at the center. The inner surface of the hollow sphere has a total charge of 8.70 nC and the outer surface has a total charge of-22-9 nc Calculate the value of the charge at the center of the metal sphere. Answer Calculate the magn tude electric field a distance 24.0 cm from the center of the sphere Answer: fthe...