a) Find the surface charge density o2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density o2 Give your answer up to at least three significance digits. C/m2 b)Find an expression of electric field at r mmfrom the center where R

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Chapter19: Electric Potential And Electric Field
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a)Find the surface charge density o2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.)
Surface charge density o2
Give your answer up to at least three significance digits.
C/m?
b)Find an expression of electric field at r mmfrom the center where R1 <r < RAssume the cylinder has a length Land Lis 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 = 0.76 mm
Give your answer up to at least three significance digits.
N/C
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.
Volts
d)Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L = 17 cm
Capacitance C'for this cylindrical system
Give your answer up to at least three significance digits.
farads
Transcribed Image Text:a)Find the surface charge density o2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density o2 Give your answer up to at least three significance digits. C/m? b)Find an expression of electric field at r mmfrom the center where R1 <r < RAssume the cylinder has a length Land Lis 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 = 0.76 mm Give your answer up to at least three significance digits. N/C 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. Volts d)Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L = 17 cm Capacitance C'for this cylindrical system Give your answer up to at least three significance digits. farads
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m2/Cacuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of
the Charge of one electron, e = -1.60217662 x 10-19 CMass of one electron, m, = 9.10938356 x 10-31 kgunless specified otherwise, each symbol
carries their usual meaning. For example, µC means micro coulomb
Coaxial cable
-R1
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/m?on the inner cylinder radius R1 = 0.2 mmand 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 cable as a
whole is neutral.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m2/Cacuum permitivity, €o = 8.854 × 10-12 F/rMagnitude of the Charge of one electron, e = -1.60217662 x 10-19 CMass of one electron, m, = 9.10938356 x 10-31 kgunless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb Coaxial cable -R1 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/m?on the inner cylinder radius R1 = 0.2 mmand 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 cable as a whole is neutral.
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