conducting hollow sphere of internal radius a and external b has a total charge + 11q, determine the electric field between radius a and b in terms of ɛ0, q and the radius of the Gaussian
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A conducting hollow sphere of internal radius a and external b has a total charge + 11q, determine the electric field between radius a and b in terms of ɛ0, q and the radius of the Gaussian r.
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- A long straight wire has fixed negative charge with a linear charge density of magnitude 4.8 nC/m. The wire is to be enclosed by a coaxial, thin-walled, nonconducting cylindrical shell of radius 1.2 cm. The shell is to have positive charge on its outside surface with a surface charge densitys that makes the net external electric field is zero. Calculate s.A solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC. a) Find the value for the constant po (including units), given that the total charge on the insulating sphere is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the symbolic expression and the final answer. b) Derive an expression for electric field forr b. Box it. e) Draw an E vs. r graph and show the values for E at distances R, a, b.A sphere shell of radius R, centered on the origin, has a uniform surface charge density /sigma and no charge in its interior. What is the magnitude of the electric field outside the sphere, at the distance r from the center, where r > R?
- A long hollow insulating cylinder has an inside radius a, outside radius b, and a uniform charge desity ρ. What is the electric field a distance r from the central axis? Give answers for r < a, a < r< b, and r > bA nonconducting wall carries charge with a uniform Q5 density of 8.60 µC/cm². (a) What is the electric field 7.00 cm in front of the wall if 7.00 cm is small comparedA non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given byλ= λ0/cos θwhere λ0 is a positive constant. The arc extends from θ = π/2 to θ = 3π/2 Sketch the direction of the resultant electric field at the origin.Calculate the magnitude of the electric field E⃗ .