To determine the charge, we can use the equation for the electric field due to a point charge:
E = k * q / r^2
Where E is the electric field, k is the Coulomb constant (8.98755 x 10^9 Nm^2/C^2), q is the charge, and r is the distance from the point charge.
We can rearrange this equation to solve for q:
q = E * r^2 / k
Plugging in the given values:
q = (68.3 N/C) * (28.8 m)^2 / (8.98755 x 10^9 Nm^2/C^2)
q = (68.3 N/C) * (826.24 m^2) / (8.98755 x 10^9 Nm^2/C^2)
q = (68.3 N/C) * (826.24 m^2/C^2)
q = (68.3 N/C) * (826.24 / 8.98755 x 10^9) C
q = (68.3 N/C) * (9.26 x 10^-9) C
q = 6.36 x 10^-7 C
The charge is approximately 6.36 x 10^-7 Coulombs.