An imaginary cube lies in a region of space in which an electric field $\to E = E_{0} (x^i + y^j$ exists. One of the vertices of the cube coincides with the origin of the coordinate system. Find the flux through the surface and the charge enclosed by the surface.

E_{0} a^{3}; ε_{0} E_{0} a^{3}

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2 E_{0} a^{3}; 2 ε_{0} E_{0} a^{3}

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\frac{E_{0} a^{3}}{2}; \frac{ε_{0} E_{0} a^{3}}{2}

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\frac{E_{0} a^{3}}{4}; \frac{ε_{0} E_{0} a^{3}}{4}

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Solution

The correct option is B $2 E_{0} a^{3}; 2 ε_{0} E_{0} a^{3}$

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An imaginary cube lies in a region of space in which an electric field →E=E0(x^i+y^j exists. One of the vertices of the cube coincides with the origin of the coordinate system. Find the flux through the surface and the charge enclosed by the surface.

The correct option is B 2E0a3;2ε0E0a3

An imaginary cube lies in a region of space in which an electric field $\to E = E_{0} (x^i + y^j$ exists. One of the vertices of the cube coincides with the origin of the coordinate system. Find the flux through the surface and the charge enclosed by the surface.

The correct option is B $2 E_{0} a^{3}; 2 ε_{0} E_{0} a^{3}$