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Physics / Physics: Principles with Applications 6 / Chapter 16 / Problem 70GP

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Solved: Two small, identical conducting spheres A and B are a distance R apart; each

Chapter 16, Problem 70GP

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QUESTION:

Problem 70GP

Two small, identical conducting spheres A and B are a distance R apart; each carries the same charge Q. (a) What is the force sphere B exerts on sphere A? (b) An identical sphere with zero charge, sphere C, makes contact with sphere B and is then moved very far away. What is the net force now acting on sphere A? (c) Sphere C next makes contact with sphere A and is then moved far away. What is the force on sphere A in this third case?

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QUESTION:

Problem 70GP

Two small, identical conducting spheres A and B are a distance R apart; each carries the same charge Q. (a) What is the force sphere B exerts on sphere A? (b) An identical sphere with zero charge, sphere C, makes contact with sphere B and is then moved very far away. What is the net force now acting on sphere A? (c) Sphere C next makes contact with sphere A and is then moved far away. What is the force on sphere A in this third case?

ANSWER:

Solution 70GP

a.)

Step 1 of 3

We have to find the force sphere $B$ exerts on sphere $A$ , if two small, identical conducting spheres $A$ and $B$ are at a distance $R$ apart; each carries the same charge $Q$ .

The force sphere $B$ exerts on sphere $A$ is given by Coulomb's law as

Where,

$k=$ proportionality constant

$Q=$ charge on sphere $A$ and $B$

$R=$ distance between the spheres $A$ and $B$

Therefore, the force sphere $B$ exerts on sphere $A$ is .

b.)

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