To calculate the potential created by a uniformly charged thin ring of radius a

Question

To calculate the potential created by a uniformly charged thin ring of radius a at one point along the ring's axis with distance x from the ring's center, we integrate dV-ke da/r, where r =sqrt(a2+x2) is the distance to dq. The result will be equal to kQ/r, where Q is the total charge. Because r is the same for all dq and all of the potential contributions due to each dq directly add together, as if it is the potential created by total Q at a distance r. Select one: True False Check A continuous charge distribution can be considered as an infinite number of point charge dq, each dq creates a small amount of potential dV -ke dq /r2 at location P. To directly integrate ke dq /2 for all dq can find the total potential at that location. (Careful. Is potential proportional to charge over r square?) Select one: True O False Check

Explanation / Answer

First question

Ans: False

The result is not keQ/r.

Rather it is:

keQ/sqrt(x2+a2)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.