Homework Problem 5.14 A collection of parallel sheets of charge are spaced 1cm apart along the r-axis. The center sheet has charge density a. The outer two sheets have surface charge density aouter = a/3. The space between the leftmost and center sheet is partially filled with a conductor shown in gray. Compute the electric field everywhere. Compute any induced charge densi- ties clearly indicating their location and sign. This must be done starting from Gauss' law. Draw the electric field and the location of the induced charge. a/3 a/3 I II II IV V VI

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Homework Problem 5.14 A collection of parallel sheets of
charge are spaced lcm apart along the r-axis. The center sheet
has charge density a. The outer two sheets have surface charge
density oouter = 0/3. The space between the leftmost and center
sheet is partially filled with a conductor shown in gray. Compute
the electric field everywhere. Compute any induced charge densi-
ties clearly indicating their location and sign. This must be done
starting from Gauss' law. Draw the electric field and the location
of the induced charge.
G/3
G/3
I II III IV
V
VI
Transcribed Image Text:Homework Problem 5.14 A collection of parallel sheets of charge are spaced lcm apart along the r-axis. The center sheet has charge density a. The outer two sheets have surface charge density oouter = 0/3. The space between the leftmost and center sheet is partially filled with a conductor shown in gray. Compute the electric field everywhere. Compute any induced charge densi- ties clearly indicating their location and sign. This must be done starting from Gauss' law. Draw the electric field and the location of the induced charge. G/3 G/3 I II III IV V VI
Expert Solution
Step 1

Given:-

                    The electric field due to the sheet is:

                        E = σE0

                  EI = σouter3E0+σmiddleE0+σouter3E0     = 2σ3E0+σE0      = 53σE0

                 

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