Two infinite, uniformly charged, flat surfaces are mutually perpendicular. one of the sheets has a charge density of +60 pc/m2, and the other carries a charge density of −80 pc/m2. what is the magnitude of the electric field at any point not on either surface?

5.648 N/C

Explanation:

Given:

q₁ = 60 pC/m² = 60 × 10⁻¹² C/m²

q₂ = -80 pC/m² = - 80 × 10⁻¹² C/m²

Now,

Electric field is given as:

E =

ε₀ = Permittivity of Free Space

thus, due to charge q₁

E₁ =

or

E₁ = 3.389 N/C

and, due to charge q₂

E₂ =

or

E₂ = 4.519 N/C

Now,

The resultant electric field =

or

The resultant electric field =

or

The resultant electric field =

or

The resultant electric field = 5.648 N/C

E = 5.65 N/C

Explanation:

Given data:

Charge density

charge density

And A charge density creates the electric field

The electric field at point (x,y) is

where are vectors

After solving we get

E = 5.65 N/C