In a region of space, the electric field is 𝐄 = E₀x $\hat{i}$ + E₀y $\hat{j}$ . Consider an imaginary cube of edge a with its edges parallel to the coordinate axes. Select the correct statement(s).
Select all that apply

Question

In a region of space, the electric field is 𝐄 = E₀x $\hat{i}$ + E₀y $\hat{j}$ . Consider an imaginary cube of edge a with its edges parallel to the coordinate axes. Select the correct statement(s).

Select all that apply

G1 Physics · Accepted Answer

Step 1: ∇·𝐄=∂(E₀x)/∂x+∂(E₀y)/∂y=2E₀. Hence the total flux through the cube is 2E₀a³ and enclosed charge is 2ε₀E₀a³, so B is true. Step 2: Direct face-by-face flux shows faces 1 and 3 together contribute E₀a³, so A is true. Step 3: C and D conflict with these results. Final: A, B.

In a region of space, the electric field is 𝐄 = E₀x i ^ \hat{i} i ^ + E₀y j ^ \hat{j} j ^ ​ . Consider an imaginary cube of edge a with its edges parallel to the coordinate axes. Select the correct statement(s).

In a region of space, the electric field is 𝐄 = E₀x i ^ \hat{i} i ^ + E₀y j ^ \hat{j} j ^ . Consider an imaginary cube of edge a with its edges parallel to the coordinate axes. Select the correct statement(s).