Question: Prove or disprove (with a counterexample) the following Theorem: Suppose a conductor carrying a net charge Q, when placed in an external electric field E

Prove or disprove (with a counterexample) the following Theorem: Suppose a conductor carrying a net charge Q, when placed in an external electric field Ee, experiences a force F; if the external field is now reversed (Ee →−Ee), the force also reverses (F→−F). What if we stipulate that the external field is uniform?

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