6. Consider an infinite plane of charge with uniform surface charge density a. b) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? Compute this directly using the flux integral: 0 " Ë · dà a) How does the electric field at a point a distance z below the plane compare to the field at a point above the plane in terms of magnitude an direction? label label c) Repeat part (b) for the lid and bottom. [Be careful of the signs!] Construet a cylindrical gaussian surface with cross-sectional area A and height 2n centered on the plane with the axis perpondieular to the plane. Again, this closed surface is made of three other surfaces: a 'label' a 'lid' and a "bottom.' d) Find the electric field (magnitude and direction) at points a distance z from the plane. 0
6. Consider an infinite plane of charge with uniform surface charge density a. b) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? Compute this directly using the flux integral: 0 " Ë · dà a) How does the electric field at a point a distance z below the plane compare to the field at a point above the plane in terms of magnitude an direction? label label c) Repeat part (b) for the lid and bottom. [Be careful of the signs!] Construet a cylindrical gaussian surface with cross-sectional area A and height 2n centered on the plane with the axis perpondieular to the plane. Again, this closed surface is made of three other surfaces: a 'label' a 'lid' and a "bottom.' d) Find the electric field (magnitude and direction) at points a distance z from the plane. 0
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![6. Consider an infinite plane of charge with
uniform surface charge density o.
b) In terms of the (unknown) electric field
strength E, how much electric flux passes
through the label? Compute this directly
using the flux integral: nbet ¶ Ë · dÃ
a) How does the electric field at a point a
distance z below the plane compare to the field
at a point above the plane in terms of
magnitude an direction?
label
label
c) Repeat part (b) for the lid and bottom. [Be
careful of the signs!]
Construct a cylindrical gaussian surface with
cross-sectional area A and height 2z centered
on the plane with the axis perpendicular to
the plane. Again, this closed surface is made
of three other surfaces: a label' a 'lid' and a
"bottom.'
d) Find the electric field (magnitude and
direction) at points a distance z from the
plane. *](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4cd656c-89eb-40fe-a372-d38ddbeae004%2Fd9bbcc28-2d21-40c8-a637-4da5ac9c7f9d%2Fxhs2z9_processed.png&w=3840&q=75)
Transcribed Image Text:6. Consider an infinite plane of charge with
uniform surface charge density o.
b) In terms of the (unknown) electric field
strength E, how much electric flux passes
through the label? Compute this directly
using the flux integral: nbet ¶ Ë · dÃ
a) How does the electric field at a point a
distance z below the plane compare to the field
at a point above the plane in terms of
magnitude an direction?
label
label
c) Repeat part (b) for the lid and bottom. [Be
careful of the signs!]
Construct a cylindrical gaussian surface with
cross-sectional area A and height 2z centered
on the plane with the axis perpendicular to
the plane. Again, this closed surface is made
of three other surfaces: a label' a 'lid' and a
"bottom.'
d) Find the electric field (magnitude and
direction) at points a distance z from the
plane. *
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