Question

An infinitely large positively charged nonconducting sheet 1 has uniform surface charge density σ1 = +130 nC/m2 and is located in the xz plane of a Cartesian coordinate system. An infinitely large positively charged nonconducting sheet 2 has uniform surface charge density σ2 = +90.0 nC/m2 and intersects the xz plane at the z axis, making an angle θ = 30∘ with sheet 1.

Part A

Determine the expression for the electric field in the region between the sheets for positive values of x.

Express your answer in terms of some or all of the variables σ1, σ2, θ, and the permittivity constant ϵ0.

Ex =

Part B

Determine the expression for the electric field in the region between the sheets for positive values of y.

Express your answer in terms of some or all of the variables σ1, σ2, θ, and the permittivity constant ϵ0.

Ey =

Part C

Calculate the magnitude of the electric field at (3 m, 1 m, 0).

Express your answer with the appropriate units.

E =

Part D

Determine the direction angle ϕ of the electric field measured counterclockwise from the positive x angle.

ϕ = ∘

Answer 1