GATE 2024 Electronics & Communication Q16

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 $\vec{F_1} = A(\hat{i}y + \hat{j}x)$ and $\vec{F_2} = A(\hat{i}y - \hat{j}x)$?

Answer

Both $\vec{F_1}$ and $\vec{F_2}$ are electrostatic fields.

Answer

Only $\vec{F_1}$ is an electrostatic field.

Answer

Only $\vec{F_2}$ is an electrostatic field.

Answer

Neither $\vec{F_1}$ nor $\vec{F_2}$ is an electrostatic field.