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- Homework Statement
- Let charges of ##q_1## and ##q_2## be placed at the center of two spherical shells of radii ##r_1## and ##r_2## respectively. If these spherical shells are placed so that their centers are a distance ##d## ##(d > (r_1 + r_2))## apart, then what is the force between the point charges ##q_1## and ##q_2##?

- Relevant Equations
- ##F =\dfrac { k q_1 q_2} {r^2}##, which is Coulomb's Law in Electrostatics (k is a constant of proportionality)

If these point charges were placed in vacuum without any spherical shells in the picture, then the force between these charges would be ##F =\dfrac { k q_1 q_2} {d^2}##.

But, I am unable to reason how spherical shells would alter the force between them.

I do know that if charges were on the spherical shells rather than at the centers, then we would consider the charge on each spherical shell to be at its center when calculating the electrostatic force between the spherical shells. But, in this problem the spherical shells carry no charge.

But, I am unable to reason how spherical shells would alter the force between them.

I do know that if charges were on the spherical shells rather than at the centers, then we would consider the charge on each spherical shell to be at its center when calculating the electrostatic force between the spherical shells. But, in this problem the spherical shells carry no charge.