Now let's use ${}_E=$EAcos$$ to calculate the electric flux through a disk with radius $0\mathrm{.}10m.$ The disk is oriented with its axis $($the line through the center, perpendicular to the disk's surface$)$ at an angle of $30$ to a uniform electric field vec$(E)$ with magnitude $2\mathrm{.}0{10}^3\frac{N}{C}($Figure $1).($a$)$ What is the total electric flux through the disk? $($b$)$ What is the total flux through the disk if it is turned so that its plane is parallel to vec$(E)?($c$)$ What is the total flux through the disk if it is turned so that its axis $($marked by the dashed line perpendicular to the disk in the figure$)$ is parallel to vec$(E)?$

Figure

$1$ of $1$