The conductin shell in Figure 22-38 is grounded, and the negative point charge at the center has a magnitude given by Q. What is the direction of the electric field in the following regions? (a) r<R1, (b) R2>r>R1, (c) and r>R2. Explain your answers.

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A long cylindrical conducting shell has inner radius R1=10 cmand an outer radius R2=12 cm. the conductor has no net charge. Atthe center of the cylinder, there is a negative line of charge withlinear charge density Î»=5Î¼c/m.

A) Find the magnitude and direction ofthe electric field outside the shell at a distance r from thecenter, (r>R2)

B) Find the magnitude anddirection electric field in the region between the inner and theouter radius of the conductor at distance r from the center (R2>r >R1)

C) Find the surface charge densityon the outer surface of the conductor.

A hollow spherical conductor, carrying a net charge +Q, has an inner radius R1 and outer radius R₂=2R₁. At the center of the sphere is a point charge +Q/2.

(A) Write the electric field strength E in all three regions as a function of R.

Then determine the potential as a function of R, the distance from the center, for

(B) R > R₂,

(D)0 < R < R₁.

(E)Plot both V and E as a function of R from R = 0 to R = 2R₂.

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A thin cylindrical shell of radius R1 is surrounded by a 2nd concentric cylindrical shell of radius R2 The inner shell as a total charge +Q and the outer shell of -Q. Assuming the length L of the shells is much greater than R1 or R2, determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for (a) 0<R<R1, (b) R1<R<R2, and (c) R>R2, (d) What is the kinetic energy of electron if it moves between (and concentric with) the shells in a circular orbit of radius (R1 + R2)/2? Neglect thickness of shells

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The conductin shell in Figure 22-38 is grounded, and the negative point charge at the center has a magnitude given by Q. What is the direction of the electric field in the following regions? (a) r<R1, (b) R2>r>R1, (c) and r>R2. Explain your answers.

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Physics: Principles with Applications

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