
Concept explainers
(a) A metal sphere with a charge of +1 × 10−5 C is 10 cm from another metal sphere with a charge of −2 × 10−5 C. Find the magnitude of the attractive force acting on each sphere. (b) The two spheres are brought in contact and again separated by 10 cm. Find the magnitude of the new force acting on each sphere.
(a)

The magnitude of the attractive force acting on each sphere.
Answer to Problem 17E
The magnitude of the attractive force acting on each sphere is 180 N.
Explanation of Solution
Given data:
Formula used:
Consider the expression for the electrostatic force between two charges.
Here,
Substitute
So, the magnitude of the attractive force on each sphere is,
Conclusion:
Hence, the magnitude of the attractive force acting on each sphere is 180 N.
(b)

The magnitude of the new force acting on each sphere when the 2 spheres are brought in contact and again separated by 10 cm.
Answer to Problem 17E
The magnitude of the new force acting on each sphere, when the two spheres are brought in contact and separated by 10 cm is 22.5 N.
Explanation of Solution
When the two charged metal spheres are brought in contact, the charges in the 2 metal spheres gets equally divided such that,
So the charge of
Substitute
Conclusion:
Hence, the magnitude of the new force acting on each sphere when the two spheres are brought in contact and separated by 10 cm is 22.5 N.
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