Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
The lines are closer together near the sphere and spread out as distance increases.
B
The lines are evenly spaced at all distances from the sphere.
C
The lines are further apart near the sphere and become denser with distance.
D
The lines do not change density with distance from the sphere.
Understanding the Answer
Let's break down why this is correct
Answer
Near a positively charged sphere the electric field is strongest just outside its surface, so the field lines are packed tightly together there. As you move farther away the lines spread out, indicating the field strength is getting weaker. The spacing between lines grows roughly with the square of the distance from the sphere, so at twice the radius the lines are about one‑quarter as dense as they are at the surface. This pattern shows that the electric field decreases as 1/r², which is why the lines become sparser as you go farther from the sphere.
Detailed Explanation
Near a positively charged sphere the electric field is strong, so the lines are drawn closer together. Other options are incorrect because Some students think the lines stay the same spacing, but this ignores that a point charge creates a stronger field near it; Others imagine lines get denser far from the sphere, but the opposite happens.
Key Concepts
Electric Field Lines
Topic
Electric Fields and Dielectrics
Difficulty
easy level question
Cognitive Level
understand
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