At a distance r = 1.5 cm from the charge Q in the air, the electric field strength is e = 650 kv / m

At a distance r = 1.5 cm from the charge Q in the air, the electric field strength is e = 650 kv / m. Determine the charge Q.

Initial data: r (specified distance from the charge) = 1.5 cm (0.015 m); E (electric field strength at the selected point) = 650 kV / m (650 * 10 ^ 3 V / m).

Constants: ε (relative dielectric constant of air) = 1,00058; k (proportionality coefficient) = 9 * 10 ^ 9 N * m2 / Cl2.

The amount of charge can be determined from the formula for calculating the tension: E = k * q / (ε * r ^ 2), whence q = E * ε * r ^ 2 / k.

Calculation: q = 650 * 10 ^ 3 * 1.00058 * 0.0152 / (9 * 10 ^ 9) = 16.26 * 10 ^ -9 C (16.26 nC).