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Hi, I would very much appreciate some guidance on the below.

Consider a one-dimensional world as depicted in the attached figure.

From my understanding:

The part I am struggling with is:

Your assistance is greatly appreciated.

Consider a one-dimensional world as depicted in the attached figure.

- We have two (lets say positively charged particles enclosed by two conductor plates.
- One plate is at ##x=0##, the other at ##x=L##. The particles are at ##x_1## and ##x_2##, with respective charges ##q_1## and ##q_2##

From my understanding:

- The postively charged particles will induce a charge on the conductor plates
- The positively charged particles will not feel a net force from the charge induced on the conductor plates due to Gauss' law (the conductor plates enclose the particles in this one-dimensional model)
- The conductor plates will experience a force from the charged particles which can be decuded using the method of images. This is calculated by assuming a ficticious oppostively charged particle is at the opposite side of the plate. The conductor plate feels a force from each of the particles by effectively assuming the particle was doulbe the distance away from the conductor plate (and the conudctor plate has opposite charge)
- ##k## is Coulombs constant in the attached image

The part I am struggling with is:

- Does the conductor plate also feel a force from the other opposite conductor plate? If so, how do I calculate it? Would it somehow be equal to the force the ficticuous mirror charges would have on each other?

Your assistance is greatly appreciated.

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