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a) The electric field flux through a spherical Gaussian surface of radius equal

ID: 1792570 • Letter: A

Question


a) The electric field flux through a spherical Gaussian surface of radius equal to 30 cm centered on the shell.
b) The electric field flux through a spherical Gaussian surface of radius equal to 40 cm centered on the shell.
c) The electric field flux through a spherical Gaussian surface of radius equal to 10 cm 9. Un cascarón conductor esférico de radio igual a 20 cm, tiene una carga neta uniforme en su superficie igual a Q-30 mC. Calcule: a) El flujo de campo eléctrico a través de una Superficie Gaussiana esférica de radio igual a 30 cm centrada en el cascarón. b) El flujo de campo eléctrico a través de una Superficie Gaussiana esférica de radio igual a 40 cm centrada en el cascaron c) El flujo de campo eléctrico a través de una Superficie Gaussiana esférica de radio igual a 10 cm. R 20 cm

Explanation / Answer

given spherical conductive shell,

radius a = 20 cm

charge Q = 30 mC

a. electric flux through gaussean shell of radius r > a

from gauss law

flux = qen/epsilon = 30*10^-3*4*pi*8.98*10^9 = 3.38538*10^9 Vm

b. electric flux through gaussean shell of radius r > a

from gauss law

flux = qen/epsilon = 30*10^-3*4*pi*8.98*10^9 = 3.38538*10^9 Vm

c. electric flux through gaussean shell of radius r < a

from gauss law

flux = qen/epsilon = 0*4*pi*8.98*10^9 = 0 Vm