Concept explainers
(i)
The charge shared between the spheres
(i)
Answer to Problem 3OQ
Option (c)
Explanation of Solution
The sum of charge on point
Write the expression for potential on the sphere
Here,
Write the expression for potential on the sphere
Here,
The potential difference at point
Substitute
Conclusion:
Substitute
Substitute
Substitute
The charge at point
Therefore, option (c)
(ii)
The charge shared between the spheres.
(ii)
Answer to Problem 3OQ
The charge shared between the spheres is
Explanation of Solution
Write the expression for potential on the metal sphere
The initial potential on the metal sphere
Write the expression for common potential.
Here,
Substitute
Write the expression for charge on sphere
Substitute
Write the expression for net charge at point
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the charge shared between the spheres is
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Chapter 25 Solutions
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