6. The cube shown below is immersed in a nonuniform electric field \(\vec{E} = ax\hat{i} + bj\hat{f}\), where \(a\) and \(b\) are constants.- Diagram Description: - The cube is positioned in a 3D coordinate system with labeled axes: \(x\), \(y\), and \(z\). - The cube's faces are labeled as follows: - \(S_1\) (left side) - \(S_2\) (top) - \(S_3\) (right side) - \(S_4\) (bottom) - \(S_5\) (front) - \(S_6\) (back) - Each side has a length \(L\).\[\begin{align*}(a) & \text{ Calculate the electric flux through each face of the cube for } a = 3 \times 10^5 \, \frac{N}{C \cdot m}, \\ & b = 4 \times 10^3 \, \frac{N}{C}, \text{ and } L = 10 \, \text{cm}. \\(b) & \text{ What is the net charge enclosed by the cube?}\end{align*}\]

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The cube shown below is immersed in a nonuniform electric field E = axî + bĵ, where a and b are constants. S₁ (left side) L L S₂ (top) L S6 (back) -S3 (right side) y S5 (front) S4 (bottom) (a) Calculate the electric flux through each face of the cube for a = 3 x 10³ 4 × 10³ , and L = 10 cm. (b) What is the net charge enclosed by the cube? N C-m ,b=

The cube shown below is immersed in a nonuniform electric field E = axî + bĵ, where a and b are constants. S₁ (left side) L L S₂ (top) L S6 (back) -S3 (right side) y S5 (front) S4 (bottom) (a) Calculate the electric flux through each face of the cube for a = 3 x 10³ 4 × 10³ , and L = 10 cm. (b) What is the net charge enclosed by the cube? N C-m ,b=