What is the distance between a 900pC and 200nC point charges if the electric force generated is at 3x10-4 N?Group of answer choices0.0054 cm0.07 cm0.07 m0.0054 m
Question
What is the distance between a 900pC and 200nC point charges if the electric force generated is at 3x10-4 N?Group of answer choices0.0054 cm0.07 cm0.07 m0.0054 m
Solution
The force between two charges is given by Coulomb's law:
F = k * |q1*q2| / r²
where:
- F is the magnitude of the force between the charges,
- k is Coulomb's constant (approximately 8.99*10^9 N m²/C²),
- q1 and q2 are the charges,
- r is the distance between the charges.
We can rearrange the formula to solve for r:
r = sqrt(k * |q1*q2| / F)
Given:
- F = 3*10^-4 N,
- q1 = 900 pC = 900*10^-12 C,
- q2 = 200 nC = 200*10^-9 C,
- k = 8.99*10^9 N m²/C².
Substituting these values in:
r = sqrt((8.9910^9 N m²/C² * 90010^-12 C * 20010^-9 C) / 310^-4 N) r = sqrt((1.619110^-1 m²) / 310^-4 N) r = sqrt(0.5397 m) r = 0.7346 m
So, the distance between the charges is approximately 0.07 m.
Similar Questions
Calculate the electric field strength produced 100cm to the right by the -4000pC point charge.Group of answer choices3.6x10^3 N36x10^-3 N/C36 N/C36 N
The coulomb's force between the 2 point charges 10µC and 5µC placed at a distance of 150cm is:Group of answer choices10 N0.5 N2 N0.2 N
Two identical point charges are 0.3 m away from each other. Calculate the magnitude of the identical charges if their electric force is 3.0x10-7 N.Group of answer choices1.7x10^-9 C3x10^-9 uC1.7x10^-9 uC3x10^-18 C
Four 10nC point charges in free space are located on the corners of a square 10cm on each side.a. Determine the magnitude of force experienced by each of the four point charges.b. Determine the magnitude of force experienced by a fifth 10nC point if it is located 10cmfrom each of the initial four point charges.
What is the magnitude of a point charge that would create an electric field of 35x103 N/C at point 0.3m away from the source charge?Group of answer choices3.5x10^-7 N/C3.5x10^-7 uC3.5x10^-7 C77x10^3 C
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.