What is the magnitude of a point charge that would create an electric field of 1.00 N/C at points 1.00 m away
The magnitude of a point charge that would create an electric field of 1.00 N/C at a distance of 1.00 m can be calculated using Coulomb's law.
The formula for the electric field created by a point charge is given by:
E = k * |q| / r^2
Where:
E = electric field (1.00 N/C)
k = Coulomb's constant (8.99 x 10^9 N m^2/C^2)
q = magnitude of the point charge (what we want to find)
r = distance from the point charge (1.00 m)
Plugging in the given values:
1.00 = (8.99 x 10^9) * |q| / 1.00^2
Solving for |q|:
|q| = 1.00 / 8.99 x 10^9
|q| = 1.11 x 10^-10 C
Therefore, the magnitude of the point charge that would create an electric field of 1.00 N/C at a distance of 1.00 m is 1.11 x 10^-10 C.