The question states: An electron moves with constant velocity through a region o

Question

The question states: An electron moves with constant velocity through a region ofspace that is free of magnetic fields. Can one conlude thatthe electric field is zero in this region? The solution on cramster says yes, since an electric fieldwould cause an electron to accelerate. I'm wondering though -couldn't a uniform electric field exist in this region, moving anelectron at constant velocity? The question states: An electron moves with constant velocity through a region ofspace that is free of magnetic fields. Can one conlude thatthe electric field is zero in this region? The solution on cramster says yes, since an electric fieldwould cause an electron to accelerate. I'm wondering though -couldn't a uniform electric field exist in this region, moving anelectron at constant velocity?

Explanation / Answer

If a uniform electric field exists in this region, an electron would experience a constant force, so a constant acceleration, then its velocity can't keep constant.

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