(Solved): (4\%) Problem 2: A planar surface has area \( A \) and unit normal \( \hat{n} \). This planar surf ...

(4\%) Problem 2: A planar surface has area \( A \) and unit normal \( \hat{n} \). This planar surface resides in a region where the uniform electric field may be expressed a: \( \vec{E}=E_{0} \hat{u} \), where \( E_{0} \) is its magnitude, and \( \hat{u} \) is its direction. \( 50 \% \) Part (a) Varying the orientation of the surface, what is the maximum achicvable value of the electric llux, \( \Phi_{E} \) ? \( \max \left(\Phi_{E}\right)=\mathrm{L}_{0} \mathrm{~A} \quad \checkmark \) Correct! \( \nabla \) \& \( 50 \% \) Part (b) Varying the orientation of the surface, what is the minimum achievable value of the electric flux, \( \Phi_{E} \) ? \[ \min \left(\Phi_{E}\right)= \] Hints: deduction per hint. Hints remaining: 2 Fecdback: deduction per feedhack.