Question

An electric field is given by `(6 hat i + 5 hat j + 3 hat k)` N/C. The electric flux through a surface area `30 hat i` m² lying in YZ-plane (in SI unit) is ______.

Options

• 180

• 90

• 150

• 60

Answer 1

An electric field is given by `(6 hat i + 5 hat j + 3 hat k)` N/C. The electric flux through a surface area `30 hat i` m² lying in YZ-plane (in SI unit) is 180.

Explanation:

Given: `vec E = (6 hat i + 5 hat j + 3 hat k)` N/C

`vec A = 30 hat i` m²

Electric flux is the scalar (dot) product of `vec E` and `vec A`:

Φ = `(6 hat i + 5 hat j + 3 hat k) xx (30 hat i)` 

= (6 × 30) + (5 × 0) + (3 × 0)

= 180 + 0 + 0

= 180 Nm²/C