At a point in space

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

At a point in space, a

+2.0\,\mu\text{C}

test charge experiences a force

\vec{F}_{1}=\bigl(4.0\,\text{mN}\bigr)\,\hat\imath-\bigl(6.0\,\text{mN}\bigr)\,\hat\jmath

. When the test charge is replaced by a

-3.0\,\mu\text{C}

charge, the force becomes

\vec{F}_{2}=\bigl(-6.0\,\text{mN}\bigr)\,\hat\imath+\bigl(9.0\,\text{mN}\bigr)\,\hat\jmath

. Determine the electric field vector at that point.