GATE ECE 2024 | Question: 6

Question

​​​Let $\hat{i}$ and $\hat{j}$ be the unit vectors along $x$ and $y$ axes, respectively and let $A$ be a positive constant. Which one of the following statements is true for the vector fields $\overrightarrow{F_{1}}=A(\hat{i} y+\hat{j} x)$ and $\overrightarrow{F_{2}}=A(\hat{i} y-\hat{j} x) ?$

• A. Both $\vec{F}_{1}$ and $\vec{F}_{2}$ are electrostatic fields.
• B. Only $\vec{F}_{1}$ is an electrostatic field.
• C. Only $\vec{F}_{2}$ is an electrostatic field.
• D. Neither $\vec{F}_{1}$ nor $\vec{F}_{2}$ is an electrostatic field.

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