What is the distance between particle 1 and location A?

Question

What is the distance between particle 1 and location A? What is the magnitude and direction of the electric force on the test particle?

SnapAndSolve AI · Accepted Answer

The distance between particle 1 and location A can be calculated using the formula for the electric field: E = k * |q| / r^2, where E is the electric field strength, k is Coulomb's constant (8.99 x 10^9 N m²/C²), q is the charge of the particle, and r is the distance. Rearranging for r gives: r = sqrt(k * |q| / E). Substituting the given values: r = sqrt((8.99 x 10^9 N m²/C²) * (9.76 x 10^-18 C) / 200,000 N/C) = 0.066 m.
The magnitude of the electric force on the test particle is given by F = q * E, where q is the charge of the test particle and E is the electric field strength. Substituting the given values: F = (-1.60 x 10^-19 C) * (200,000 N/C) = -3.2 x 10^-14 N. The direction of the force is opposite to the direction of the electric field because the test particle has a negative charge. Therefore, the force is directed towards particle 1.

Answer