Figure 1 shows a configuration of a flat plane and an arbitrary shape, both carrying surface charge density of magnitude σ. The arrows show the electric field lines. Are the statements below true or false? a) The flat plane is carrying a negative surface charge density −σ and the arbitrary shape is carrying a positive surface charge density +σ. Justify your answer. b) Both surfaces are equipotential surfaces. Justify your answer.

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Figure 1 shows a configuration of a flat plane and an arbitrary shape, both carrying surface
charge density of magnitude σ. The arrows show the electric field lines. Are the statements
below true or false?
a) The flat plane is carrying a negative surface charge density −σ and the arbitrary shape is
carrying a positive surface charge density +σ. Justify your answer.
b) Both surfaces are equipotential surfaces. Justify your answer.

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