A rectangular area of sides 4.0 cm and 5.0 cm is placed in an electric field E = i such that the normal unit vector for the area is . The electric flux through the rectangle is:

Question

Question

This question was previously asked in

AAI ATC Junior Executive 27 July 2022 Shift 3 Official Paper

Answer 1

Concept:

The electric flux is defined as the total number of electric field lines crossing a given area.
Where, E is electric field lines, S is the area.
Flux is a scalar quantity
Dot product of i and j is equal to zero

Calculation:

Given, = i, area of rectangular plate = 0.04 × 0.05 = 2 × 10^-3 m², normal unit vector for the area is

So, = 2 × 10^-3×

Now flux

⇒ ϕ = i . 2 × 10^-3 × = 0.40 N m²/C