A charge of 2 C is at (-3 ,7) and a charge of -1 C is at ( -3 ,5 ). If both coordinates are in meters, what is the force between the charges?
1 Answer
Jun 7, 2017
Explanation:
We're asked to find the electric force acting between two point charges.
To find the magnitude of the force
where
k is the Coulomb's law constant, equal to
8.988 xx 10^9 ("N" · "m"^2)/("C"^2)
-
q_1 andq_2 are the two point charges (in"C" ), in any order -
r is the distance (in"m" ) between the two charges
to find this, we simply find the distance between the two given coordinates:
r = sqrt((-3 - -3)^2 + (7-5)^2) = color(red)(2 color(red)("m"
Plugging in our known values, we have