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Metal sphere A has a charge of −????. An identical metal sphere B has a charge of +2????. The magnitude of the electric force on sphere B du
Question
Metal sphere A has a charge of −????. An identical metal sphere B has a charge of +2????. The magnitude of the electric force on sphere B due to sphere A is F. The magnitude of the electric force on A due to B must be:______.
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Physics
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2021-07-30T12:43:12+00:00
2021-07-30T12:43:12+00:00 1 Answers
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Answer:
Force on Sphere A due to B = F
Explanation:
The electrostatic force between the two charges is given by the Coulomb’s Law, by the following formula:
F₁₂ = kq₁q₂/r²
where,
F₁₂ = Force on charge 1 due to charge 2
k = Coulomb’s Constant
q₁ = magnitude of charge 1
q₂ = magnitude of charge 2
r = distance between both the charges
Similarly, the force on charge 2 due to charge 1 is given by the following formula:
F₂₁ = kq₁q₂/r²
It is clear from the formula that the force of both the charges on each other due to the other charge are same. Therefore, in our case:
Force on Sphere A due to B = Force on Sphere B due to A
Force on Sphere A due to B = F