A positive point charge is located in the plane at a point with radius vector

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

A positive point charge 50 μC50\,\mu\text{C} is located in the plane xyxy at a point with radius vector r⃗0=2i^+3j^\vec{r}_0=2\hat{i}+3\hat{j}. The electric field vector E⃗\vec{E} at a point with radius vector r⃗=8i^−5j^\vec{r}=8\hat{i}-5\hat{j}, where r0r_0 and rr are expressed in meter, is (1) (1.4i^−2.6j^) kN C−1(1.4\hat{i}-2.6\hat{j})\,\text{kN C}^{-1} (2) (1.4i^+2.6j^) kN C−1(1.4\hat{i}+2.6\hat{j})\,\text{kN C}^{-1} (3) (2.7i^−3.6j^) kN C−1(2.7\hat{i}-3.6\hat{j})\,\text{kN C}^{-1} (4) (2.7i^+3.6j^) kN C−1(2.7\hat{i}+3.6\hat{j})\,\text{kN C}^{-1}

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