# DQ4D_solution - Discussion Question 4D P212 Week 4...

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Discussion Question 4D P212, Week 4 Superposition and Conductors As we saw in the last problem, superposition is an extremely useful tool in potential problems. However, we have to be very careful with superposition when conductors are around … let’s explore this! Two thin plates of infinite area and made of insulating material are on either side of the origin and a distance d = ± 5 cm away from it. They carry uniformly-distributed surface charges with the values given below. In this problem, we will be concerned with the electric potential difference between the two plates. For convenience, we’ll use the left-hand plate as our reference and set the electric potential to zero there. (This is indicated by the ground symbol in the figure.) (a) What is the electric potential V b of the right-hand plate? () ( ) 22 00 0 0 ab Since a positive charge is pushed to left, it takes work to move from thus . ˆ ; ; dd x o oo V Ex V x d V x d E d x V x d d x d σσ εε ε →Δ > −− + + == = = = = + = ∫∫ G (b)

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DQ4D_solution - Discussion Question 4D P212 Week 4...

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