At what distance along the axis passing through the center of a uniformly charged circular ring (of radius R) is the electric field maximum?
Understand the Problem
The question is asking for the specific distance from the center of a uniformly charged circular ring along its axis where the electric field reaches its maximum magnitude. This involves understanding the behavior of electric fields produced by charged bodies and applying concepts of calculus to find the point along the axis where this maximum occurs.
Answer
x = R√2
The distance along the axis passing through the center of a uniformly charged circular ring where the electric field is maximum is at x = R√2.
Answer for screen readers
The distance along the axis passing through the center of a uniformly charged circular ring where the electric field is maximum is at x = R√2.
More Information
For a uniformly charged ring, the electric field along the axis is a function of the distance x from the center. It is maximum at x = R√2 where R is the radius of the ring.
Tips
A common mistake is to assume the maximum electric field occurs at the center of the ring (x = 0), but it actually occurs at x = R√2.
Sources
- Q&A on circular charged ring - Doubtnut - doubtnut.com
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