Question

A 30-N/C uniform electric field points perpendicularly toward the left face of a large neutral conducting sheet. The surface charge density in C/m2 on the left and right faces, respectively, are​

Answer 1

Given :

Electric field E = 30N/C

To find :

The surface charge density in C/m² on the left and the right faces respectively.

Solution :

Electric field E = 30N/C

Electric field for a infinite sheet :

E = σ / ε₀

30N/C = σ / (8.854 × 10⁻¹² C²/Nm²)

σ = (30N/C)(8.854 × 10⁻¹² C²/Nm²)

σ = 265.6 × 10⁻¹² C/m²

σ = 2.7 × 10⁻⁹ C/m²

Due to induction of charge

Left face of the sheet negative charge

So, σ = - 2.7 × 10⁻⁹ C/m²

Right face of the sheet positive charge

So, σ = 2.7 × 10⁻⁹ C/m²

Answer 2

Answer:

-5.31x10e-10 , +5.31x10e-10

Explanation:

As for infinite sheet of charge E=σ/2е₀