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a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density σ2 Give your answer up to at least three significance digits. b) Find an expression of electric field at rmm from the center where R1

a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density σ2 Give your answer up to at least three significance digits. b) Find an expression of electric field at rmm from the center where R1

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a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.)

Surface charge density σ2
Give your answer up to at least three significance digits.

b) Find an expression of electric field at rmm from the center where R1<r<R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.)

Magnitude of the electric field at r=0.76mm

Give your answer up to at least three significance digits.

c) Calculate absolute value of the potential difference between the wire and the cylinder.

Absolute value of the potential difference

Give your answer up to at least three significance digits.

d) Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L=17cm.

Capacitance C for this cylindrical system

Give your answer up to at least three significance digits.

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m² /C2. Vacuum permitivity, €o = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Coaxial cable R High frequency signals are often transmitted along a coaxial cable, such as the one shown in the Figure. For example, the cable TV hookup coming into your home is a coaxial cable. A long coaxial cable carries a uniform (positive) surface charge density o1 = 6 µC/m². On the inner cylinder radius R1 = 0.2 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.7 mm). The surface charge is negative and of just the right magnitude so that the I ofj cable as a whole is neutral.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m² /C2. Vacuum permitivity, €o = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Coaxial cable R High frequency signals are often transmitted along a coaxial cable, such as the one shown in the Figure. For example, the cable TV hookup coming into your home is a coaxial cable. A long coaxial cable carries a uniform (positive) surface charge density o1 = 6 µC/m². On the inner cylinder radius R1 = 0.2 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.7 mm). The surface charge is negative and of just the right magnitude so that the I ofj cable as a whole is neutral.
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