A square cross-section ABCD of side a is kept in the direction shown in the diagram. An electric field 𝐄 = E₀ $\hat{i}$ + E₀ $\hat{j}$ exists in the region. The flux of this field through the area cross-section is:
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Question

A square cross-section ABCD of side a is kept in the direction shown in the diagram. An electric field 𝐄 = E₀ $\hat{i}$ + E₀ $\hat{j}$ exists in the region. The flux of this field through the area cross-section is:

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G1 Physics · Accepted Answer

Step 1: For a plane surface, Φ = 𝐄·𝐀. From the figure, the unit normal to the square has components such that only the x-component contributes E₀a²/2 while the y-component of 𝐄 is parallel to the surface. Step 2: Therefore Φ = E₀a²/2. Final: C.

A square cross-section ABCD of side a is kept in the direction shown in the diagram. An electric field 𝐄 = E₀ i ^ \hat{i} i ^ + E₀ j ^ \hat{j} j ^ ​ exists in the region. The flux of this field through the area cross-section is:

A square cross-section ABCD of side a is kept in the direction shown in the diagram. An electric field 𝐄 = E₀ i ^ \hat{i} i ^ + E₀ j ^ \hat{j} j ^ exists in the region. The flux of this field through the area cross-section is: