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Two identical spheres having positive charge are placed 3m apart repel each other with a force of 8×10^-3 N?
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Two identical spheres having positive charge are placed 3m apart repel...
Introduction


In this problem, we are given two identical spheres having positive charge and placed 3m apart. The spheres repel each other with a force of 8×10^-3 N. We need to explain this situation in detail.

Explanation


To explain this situation, we need to consider the following points:


  • Like charges repel each other: According to Coulomb's law, like charges repel each other. Since both spheres have positive charges, they will repel each other.


  • Force between two charged spheres: The force between two charged spheres can be calculated using Coulomb's law. According to Coulomb's law, the force between two charged spheres is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, it can be represented as F = k(q1q2)/r^2, where F is the force, k is the Coulomb's constant, q1 and q2 are the charges of the two spheres, and r is the distance between them.


  • Calculation of force: In this problem, we are given the force between the two spheres as 8×10^-3 N and the distance between them as 3m. We can use Coulomb's law to calculate the product of their charges. Mathematically, it can be represented as q1q2 = Fr^2/k. Substituting the given values, we get q1q2 = (8×10^-3 N)(3m)^2/9×10^9 Nm^2/C^2 = 8×10^-12 C^2. Since both spheres are identical, their charges will be equal. Therefore, each sphere will have a charge of q = sqrt(q1q2) = sqrt(8×10^-12 C^2) = 2.83×10^-6 C.



Conclusion


In conclusion, we can say that the two identical spheres having positive charge repel each other due to the like charges. The force between them can be calculated using Coulomb's law, and by using the given values, we can calculate the charges on each sphere.
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Two identical spheres having positive charge are placed 3m apart repel...
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