Problem 3: A hemispherical surface of radius b = 99 m is fixed in a uniform electric field of magnitude Eo = 9 V/m as shown in the figure. The x-axis points out of the screen. note: Part (a) Enter the general expression for an infinitesimal area element dA in spherical coordinates (r, 0, o) using n as your outward-pointing normal vector. In these coordinates 0 is the polar angle (from the z-axis) and o is the azimuthal angle (from the x-axis in the x-y plane). dA = Part (b) Calculate the electric flux through the hemisphere in units of volt meter.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
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Problem 3: A hemispherical surface of radius b = 99 m is fixed in a uniform electric field of
magnitude En = 9 V/m as shown in the figure. The x-axis points out of the screen.
note:
Ê=Ek
Part (a) Enter the general expression for an infinitesimal area element dA in spherical coordinates (r, 0, 4) using n as your outward-pointing normal
vector. In these coordinates 0 is the polar angle (from the z-axis) and o is the azimuthal angle (from the x-axis in the x-y plane).
dA =
Part (b) Calculate the electric flux through the hemisphere in units of volt•meter.
=
Transcribed Image Text:Problem 3: A hemispherical surface of radius b = 99 m is fixed in a uniform electric field of magnitude En = 9 V/m as shown in the figure. The x-axis points out of the screen. note: Ê=Ek Part (a) Enter the general expression for an infinitesimal area element dA in spherical coordinates (r, 0, 4) using n as your outward-pointing normal vector. In these coordinates 0 is the polar angle (from the z-axis) and o is the azimuthal angle (from the x-axis in the x-y plane). dA = Part (b) Calculate the electric flux through the hemisphere in units of volt•meter. =
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