Answer:
The magnitude of the charge (Q) can be calculated using the formula:
\[ E = \frac{k \cdot Q}{r^2} \]
Where:
\( E \) is the electric field (1.0 N/C),
\( k \) is Coulomb's constant (\(8.99 \times 10^9 \ \text{N m}^2/\text{C}^2\)),
\( Q \) is the charge,
\( r \) is the distance from the point charge (1.0 meters).
Rearranging the formula to solve for \( Q \):
\[ Q = \frac{E \cdot r^2}{k} \]
Plugging in the values:
\[ Q = \frac{(1.0 \ \text{N/C}) \cdot (1.0 \ \text{m})^2}{8.99 \times 10^9 \ \text{N m}^2/\text{C}^2} \]
Calculate this to find the charge (Q) in coulombs, then convert to nanocoulombs (nC).
