Question

find the surface charge density of a plane sheet of finite thickness having an elecrric field of 300v/m acting downwards near the surface of sheet​

Answer 1

Answer:

See the image

Explanation:

Hope you understand

Answer 2

Answer:

The surface charge density of a plane sheet is 5.31 n C/m².

Explanation:

Assumption,

Let the surface charge density of a plane sheet be 'σ'

Given,

The electric field acting near the surface of sheet is (E) = 300 V/m

To find,

The surface charge density of the plane sheet 'σ'

Concept,

The electric field intensity for a infinite plane sheet is:

E = σ/(2ε₀)

Where ε₀ is the permittivity of free space and has a value of  8.854187817 × 10⁻¹² F.m⁻¹ (S.I. units)

Calculation,

Substituting E = 300 V/m and ε₀ value in the equation (1) we get :

300 = σ/(2 × 8.85 × 10⁻¹². F.m⁻¹ )

⇒ σ = 300 × 2 × 8.85 × 10⁻¹². F.m⁻¹

⇒ σ = 5.31 × 10⁻⁹ C/m²

⇒ σ = 5.31 n C/m²

Therefore, the surface charge density of a plane sheet is 5.31 n C/m².

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