A solid spherical conductor, with a spherical cavity at the center, carries some charge q = 59 µC. And inside the cavity we put some charge q' = 26 µC. The radii are r, = 3 cm and ra = 12 cm a) What is the surface charge density of the solid conductor? charge density of the outer surface Give your answer up to at least three significance digits. C/m2

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m/C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnetic
Permeability of vacuum, Ho
m. = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb .
12.566370614356 × 10-7 H/m. Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron,
A solid spherical conductor, with a spherical cavity at the center, carries some charge q = 59 µC. And inside the cavity we put some charge q' = 26 µC.
The radii are r, = 3 cm and r, = 12 cm
a) What is the surface charge density of the solid conductor?
charge density of the outer surface
Give your answer up to at least three significance digits.
C/m?
charge density of the inner surface
Give your answer up to at least three significance digits.
C/m?
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m/C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho m. = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . 12.566370614356 × 10-7 H/m. Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, A solid spherical conductor, with a spherical cavity at the center, carries some charge q = 59 µC. And inside the cavity we put some charge q' = 26 µC. The radii are r, = 3 cm and r, = 12 cm a) What is the surface charge density of the solid conductor? charge density of the outer surface Give your answer up to at least three significance digits. C/m? charge density of the inner surface Give your answer up to at least three significance digits. C/m?
Va
b) Now we take another uncharged spherical shell and enclose the first spherical shell and enclose the first sphere(Fig-2). The innerand outer radii are
ra = 19 cm and rh = 22 cm
Calculate the inner surface charge density of the new spherical shell.
charge density of the new spherical shell
Give your answer up to at least three significance digits.
C/m²
c) Calculate the magnitude of electric field at point r,
16 cm and Tp.
25 cm. Find the electric field at both of the points.
magnitude of E-field at rp,
Give your answer up to at least three significance digits.
Transcribed Image Text:Va b) Now we take another uncharged spherical shell and enclose the first spherical shell and enclose the first sphere(Fig-2). The innerand outer radii are ra = 19 cm and rh = 22 cm Calculate the inner surface charge density of the new spherical shell. charge density of the new spherical shell Give your answer up to at least three significance digits. C/m² c) Calculate the magnitude of electric field at point r, 16 cm and Tp. 25 cm. Find the electric field at both of the points. magnitude of E-field at rp, Give your answer up to at least three significance digits.
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