Concept explainers
What happens to the electric potential at a point in space due to a point charge if that charge is doubled?
The effect on the electric potential at a point in space due to a point charge if that charge is doubled.
Answer to Problem 29SP
Solution:
D oubled
Explanation of Solution
Introduction:
The absolute potential at a point is the work done against electric forces in carrying a unit positive test charge from infinity to that point.
Explanation:
Consider a point charge q in a vacuum and a point P at a distance r from that point charge. The expression of absolute potential V in vacuum at a point P due to the charge q is,
Here,
If the charge is doubled, substitute 2 q for q in expression
Dividing equation
Simplify:
Conclusion:
The electric potential at a point is doubled as the charge gets doubled.
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Chapter 25 Solutions
College Physics
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