Question
A positive charge of 5.0×10^-5 C is 0.040 m from a second positive charge of 2.0×10^-6 C. calculate the force between the charges.
Answers
GPT 3.5
To calculate the force between the charges, we can use Coulomb's law which states that the force between two charges is given by:
F = k * |q1 * q2| / r^2
where:
F is the force between the charges,
k is the Coulomb constant (8.9875 x 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges,
r is the distance between the charges.
Given that q1 = 5.0×10^-5 C, q2 = 2.0×10^-6 C, and r = 0.040 m, we can substitute these values into the equation:
F = (8.9875 x 10^9) * |5.0×10^-5 * 2.0×10^-6| / (0.040)^2
F = (8.9875 x 10^9) * |1.0 x 10^-10| / 0.0016
F = (8.9875 x 10^9) * 1.0 x 10^-10 / 0.0016
F = (8.9875 x 10^9) * 6.25 x 10^-8
F = 560.46875 N
Therefore, the force between the charges is approximately 560.47 N.
F = k * |q1 * q2| / r^2
where:
F is the force between the charges,
k is the Coulomb constant (8.9875 x 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges,
r is the distance between the charges.
Given that q1 = 5.0×10^-5 C, q2 = 2.0×10^-6 C, and r = 0.040 m, we can substitute these values into the equation:
F = (8.9875 x 10^9) * |5.0×10^-5 * 2.0×10^-6| / (0.040)^2
F = (8.9875 x 10^9) * |1.0 x 10^-10| / 0.0016
F = (8.9875 x 10^9) * 1.0 x 10^-10 / 0.0016
F = (8.9875 x 10^9) * 6.25 x 10^-8
F = 560.46875 N
Therefore, the force between the charges is approximately 560.47 N.