Question

A point charge q = +1 μC is located at the origin. What is the flux of the electric field of this charge through a square whose corners are (x, y, z) = (1, 1, 1), (-1, 1, 1), (-1, 1, -1), and (1, 1, -1)? a. 0 b. 1.0 × 104 N m2/C c. 11.3 × 104 N m2/C d. 0.5 × 104 N m2/C e. 1.9 × 104 N m2/C

Answer 1

q = 1 x 10^-6 C

flux through the square is given as

$\phi$ = q/(6$\epsilon _{o}$)

inserting the values

$\phi$ = (1 x 10^-6 )/(6(8.85 x 10^-12))

$\phi$ = 1.9 x 10⁴ Nm²/C