ISRO 2023 Quiz 54

An electric field is given by E = zy²a_x + 2xyza_y + xy²a_z V/m, an incremental path is represented by ΔL = -3a_x + 5a_y – 2a_z µm. find the work done in moving a 4 µC charge along the incremental path if the location of the path is at point P(1, 1, 1).

Assuming zero voltage at infinity, find the potential at P(0, 0, 10) that is caused by a charge distribution of 10 nC/m along the line x = 0, y= 0, -1 < z < 1 in free space.

A point charge of +3 µC and -3µC are located at (0, 0, 1) and (0, 0, -1) respectively, in free space. Find the magnitude of dipole moment. Consider distances in meters.

The arithmetic mean of five numbers is zero. The numbers may not be distinct. Which of the following must be true?