Physics

Physics

Problem

At a point in space, a +2.0 μC+2.0\,\mu\text{C} test charge experiences a force F⃗1=(4.0 mN) i^−(6.0 mN) j^\vec{F}_{1}=\bigl(4.0\,\text{mN}\bigr)\,\hat i-\bigl(6.0\,\text{mN}\bigr)\,\hat j. When the test charge is replaced by a −3.0 μC-3.0\,\mu\text{C} charge, the force becomes F⃗2=(−6.0 mN) i^+(9.0 mN) j^\vec{F}_{2}=\bigl(-6.0\,\text{mN}\bigr)\,\hat i+\bigl(9.0\,\text{mN}\bigr)\,\hat j. Determine the electric field vector at that point.

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