ISRO 2023 Quiz 61

Four infinite uniform sheets of charges with following uniform charge density are placed at different points in space as following:

Sheet 1: 20 pC/m² at y = 7

Sheet 2: -8 pC/m² at y = 3

Sheet 3: 6 pC/m² at y = -1

Sheet 4: -18 pC/m² at y = -4

Find the magnitude of electric field at point P(2, 6, -4). Consider relative permittivity of the medium as 1.

A 25 µC point charge is located at origin. Calculate electric flux passing through the portion of sphere defined by r = 20 cm, bounded by θ = 0 and ϖ rad, φ = 0 and ϖ/2 rad.

Which among the following equation is true for a steady magnetic field, where B is the magnetic flux density, J is the current density and H is magnetic field density.

What does Laplace transform of function δ(t - 2)?

If 90 people are to be seated randomly in 15 rows of 6 seats each, what is the probability that a person gets a seat at either end of a row?