An electric field given by $\overrightarrow{E}=4.0\hat{\mathrm{i}}-3.0\left(y^2+2.0\right)\hat{\mathrm{j}}$, pierces a Gaussian cube of edge length $2.0 \mathrm{m}$ and positioned as shown in the figure. (The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters). What is the electric flux through the

$\left(a\right)$ top face

   

An electric field given by, $\overrightarrow{E}=4.0\hat{\mathrm{i}}-3.0\left(y^2+2.0\right)\hat{\mathrm{j}}$ pierces a Gaussian cube of edge length $2.0 \mathrm{m}$ and positioned as shown in the figure. (The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters). What is the electric flux through the

(b) bottom face

An electric field given by, $\overrightarrow{E}=4.0\hat{\mathrm{i}}-3.0\left(y^2+2.0\right)\hat{\mathrm{j}}$ pierces a Gaussian cube of edge length $2.0 \mathrm{m}$ and positioned as shown in the figure. (The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters) What is the electric flux through the left face.

An electric field given by, $\overrightarrow{E}=4.0\hat{\mathrm{i}}-3.0\left(y^2+2.0\right)\hat{\mathrm{j}}$ pierces a Gaussian cube of edge length $2.0 \mathrm{m}$ and positioned as shown in the figure. (The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters). What is the electric flux through the back face?

An electric field given by $\overrightarrow{E}=4.0\hat{\mathrm{i}}-3.0\left(y^2+2.0\right)\hat{\mathrm{j}}$ pierces a Gaussian cube of edge length $2.0 \mathrm{m}$ and positioned as shown in the figure. (The magnitude $E$ is in newtons per coulomb and the position $x$ is in meters). What is the electric flux through the cube?

The cube in figure has edge length $\sqrt{2} \mathrm{m}$ and is oriented as shown in a region of the uniform electric field. Find the electric flux through the right face, if the electric field in newtons per coulomb, is given by,$6.00 \hat{\mathrm{i}}$.

The cube in figure has edge length $\sqrt{2} \mathrm{m}$ and is oriented as shown in a region of an uniform electric field. Find the electric flux through the right face if the electric field in Newtons per Coulomb, is given by,$-2.00\hat{\mathrm{j}}$.

The cube in figure has edge length $\sqrt{2} \mathrm{m}$ and is oriented as shown in a region of an uniform electric field. Find the electric flux through the right face if the electric field in Newtons per Coulomb, is given by, $-3.00 \hat{\mathrm{i}}+4.00 \hat{\mathrm{k}}$.

The cube in figure has edge length $\sqrt{2} \mathrm{m}$ and is oriented as shown in a region of an uniform electric field. If the electric field in Newtons per Coulomb, is given by, $2\hat{\mathrm{i}}$. Then, what is the total flux through the cube?