Concept explainers
Two equally charged particles exert equal forces on each other. Suppose that the charge on one of the particles is doubled. The charge on the other remains the same.
a. How much stronger is the force between them?
b. How does the force change if the charges of both particles are doubled?
a.
The force between the charged particles for the given changes.
Answer to Problem 28A
Force becomes double.
Explanation of Solution
Given information:
Two equally charged particles exerts equal force on each other.
The charge on one is doubled, and the charge on other remains the same
Formula used:
The force is,
Here,q1and q2are two charges and r is the separation between the two charges.
Calculation:
Here the charges are equal, so in place of q1and q2take q
When the charge on one is doubled then let q1=2q and q2=q then the force
From equation (1) and (2),F1=2F
Conclusion:
Therefore, the force is doubled.
b.
The force between the charged particles for the given changes.
Answer to Problem 28A
Force becomes four times stronger
Explanation of Solution
Given:
Two equally charged particles exerts equal force on each other.
The charge on both particles is doubled.
Formula used:
The force is,
Here,q1and q2are two charges and r is the separation between the two charges.
Calculation:
Here the charges are equal, so in place of q1and q2take q
When the charge is doubled then let q1=2q and q2= 2q then the force is,
From equation (1) and (2),F1= 4F
Conclusion:
Therefore, the force will become 4 times.
Chapter 32 Solutions
Conceptual Physics: The High School Physics Program
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