A point charge, q= 400x 10^-9 C, is placed on the x-axis at the origin. What is the electric field produced at x = 25.0 cm²

in simple steps

1 answer

To find the electric field produced at x = 25.0 cm² by a point charge q = 400x10^(-9) C at the origin, you can use Coulomb's law.

Coulomb's law equation states that the electric field (E) produced by a point charge (q) at a distance (r) from the charge is given by:

E = k * (q / r^2),

where k is the electrostatic constant and is equal to 9 * 10^9 Nm^2/C^2.

In this case, the distance (r) is 25.0 cm = 0.25 m.

Substituting the given values into the equation, we have:

E = (9 * 10^9 Nm^2/C^2) * (400 * 10^(-9) C) / (0.25 m)^2.

Simplifying the equation:

E = (9 * 400) / (0.25)^2 * 10^9 N/C.

E = (3600 / 0.0625) * 10^9 N/C.

E = 57600 * 10^9 N/C.

Therefore, the electric field produced at x = 25.0 cm² is 5.76 x 10^14 N/C.