sphere of radius 20 cm has 70µC uniformly distributed throughout the sphere. How much charge is contained is a sphere of radius 10 cm located at the center of the larger spher
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- A sphere of radius 20 cm has 70µC uniformly distributed throughout the sphere. How much charge is contained is a sphere of radius 10 cm located at the center of the larger sphere?
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- Two spherical conductors are separated by a distance much larger than either of their radii. Sphere A has a radius of 26.5 cm and a net charge of –68.3 nC, whereas sphere B, which is initially neutral, has a radius of 89.4 cm. The two spheres are then connected by a thin metal wire. What is the charge on sphere B after equilibrium has been reached? charge on sphere B: nCProblem 11: A circular ring of charge is cut so that 3/4 of the ring remains and is arranged in the yz-plane as shown in the figure. The original ring had a radius of R = 2.05 cm. The circular segment has a uniform charge density and a total charge of Q = 6.5 × 10-12 C. Z-axis У-ахis R Randomized Variables X-ахis R = 2.05 cm Q = 6.5 × 10-12 C (xob,0,0) What is the value of the potential at the point (xob, 0, 0) in volts if xob = 5.1 cm? Numeric : A numeric value is expected and not an expression. V(xob,0,0) =A circular plastic disk with radius R = 4.23 cm has a uniformly distributed charge Q = +(1.79 x10º)e on one face. A circular ring of width 29.1 um is centered on that face, with the center of that width at radius r = 0.706 cm. In coulombs, what charge is contained within the width of the ring? Number i Units
- An object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of charge σ = 4.0 × 10-6C/m2 (figure shown below). Estimate the charge that should be given to this object so that upon release it will not fall down. Calculate the number of electrons that is to be removed to give this charge. How much mass loss is caused by this removal of electrons?A conducting sphere of radius r1 = 0.21 m has a total charge of Q = 1.6 μC. A second uncharged conducting sphere of radius r2 = 0.29 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two, Q2 in coulombs?A solid metallic sphere with a radius of rA - 5.00 cm is located inside a hollowed metallic sphere (radii B = 8.00 cm and rc = 12.0 cm); the spheres are concentric with each other and they are electrically insulated from each other. The inner sphere has a charge of-45.0 μC while the hollowed sphere has a charge of +80.0 μC.. What is the surface charge density on the outer surface (the one with rc = 12.0 cm)? To +691 μC/m² + 193 μC/m² -663 μC/m² +4427C/m² - 249 μC/m² W
- Question 1. Two conductive spheres have the radius R1 = 0.2 m and R2 = 0.1 m. The spheres have the charge ql = 6 nC and q2 = -4 nC and are located at a distance from each other that is much larger than the radius of the spheres. A conductive wire is inserted between them so that charge can travel from one sphere to the other. The wire is then removed. How is the charge now distributed on the two spheres?Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y X a Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod. SchematicChoice : kQ1Q2ady Q1Q2ady kQ,Q2ady dF dF, = L(a² + y²) dFx 3 3 L(a² + y²)ž L(a² + y²)ž kQ1Q2ydy kQ,Qzydy…An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.
- Two metal spheres, one of radius R and the other of radius 2R, both have the same surface charge density σ. They are brought in contact and separated. What will be new surface charge densities on them?Shown below is a small sphere of mass 0.25 g that carries charge of 0.90 nC. The sphere is attached to oneend of a very thin silk string 5.0 cm long. The other end of the string is attached to a large, thin, verticalconducting plate with surface charge density of 30.0 μC/m2. When another thin vertical large plate withuniformly distributed negative charge is brought close to the small sphere (but not touching), ? increases foradditional 5.000. Determine the surface charge density on the negative plate.An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.45 μC/m2. A thin wire, with linear charge density λ = 1.2 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.
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