The field strength created by a point charge at a distance of 2 m from

The field strength created by a point charge at a distance of 2 m from it is 1 V / m. At what distance from the charge the field strength is 100 V / m.

Data: r1 (first distance from a point charge) = 2 m; E1 (field strength created by the charge at a distance r1) = 1 V; E2 (field strength created by the charge at a distance r2) = 100 V / m.

The distance at which the charge creates a voltage of 100 V / m is determined from the equality: q = E1 * r1 ^ 2 = E2 * r2 ^ 2, whence r2 = √ (E1 * r1 ^ 2 / E2).

Let’s make the calculation: r2 = √ (1 * 2 ^ 2/100) = √0.04 = 0.2 m.

Answer: The field strength will be 100 V / m at a distance of 0.2 meters from the charge.