3. Find the total charge within a cube of side 1m centered at (0.5,0.5,0.5) . Assume that the electric field intensity within the cube is given by the expression overrightarrow (E)=E_(0)(1-e^-vert alpha yvert )overrightarrow (u) where E_(0)=2(mu V/m) and alpha =1(m^-1)

To find the total charge within the cube, we need to integrate the electric field intensity over the volume of the cube and then divide by the electric field constant (ε₀).The total charge (Q) can be calculated using the formula: where is the electric field intensity, is the differential area element, and is the electric field constant.Given the electric field intensity expression: where and , we can substitute this into the integral: Since the electric field is uniform in the x and z directions and only varies in the y direction, we can simplify the integral to: Evaluating this triple integral will give us the total charge within the cube.