Final answer:
To find the electric field at a given point, we can use Coulomb's law and calculate the electric field due to a point charge at the origin. In this case, the electric field at the point (x3 = -25 cm , y3 = 65 cm) is -0.129 N/C.
Step-by-step explanation:
To find the electric field at the point (x3 = -25 cm , y3 = 65 cm), we can calculate the electric field due to the point charge at the origin using Coulomb's law.
The electric field, E, at a distance r from a point charge, q, is given by the equation:
E = k*q/r^2
where k is Coulomb's constant.
Given that q = -50 μC, r = sqrt((-25 cm)^2 + (65 cm)^2), and k = 8.99 × 10^9 N m²/C², we can calculate the electric field:
E = (8.99 × 10^9 N m²/C²) * (-50 × 10^-6 C) / (sqrt((-25 cm)^2 + (65 cm)^2))^2
E = -0.129 N/C
Therefore, the electric field at the point (x3 = -25 cm , y3 = 65 cm) is -0.129 N/C.