A circular ring of radius R, as in figure, is charged with a charge Q for half of its length and -Q for the other half. Imagine the ring on a plane. Calculate the eletric field at some point, P, located at some distance d from the center of the ring and along the axis perpendicular to the plane containing the ring and passing through the center, O, of the ring. +

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A circular ring of radius R, as in figure, is charged with a charge Q for half of its length and -Q for the other half. Imagine the ring on a plane. Calculate the electric field at some point, P, located at some distance d from the center of the ring and along the axis perpendicular to the plane containing the ring and passing through the center, O, of the ring.

**Diagrams Explanation:**

1. **Top-Left Diagram:**
   - The diagram shows a circular ring with a radius R.
   - The ring is divided into two halves: one half is labeled with +Q indicating a positive charge, and the other half with -Q indicating a negative charge.
   - A point O is marked at the center of the ring.

2. **Top-Right Diagram:**
   - This side view depicts the ring as an ellipse due to the angle of view, with the same division of charges.
   - An axis is shown perpendicular to the plane of the ring, extending from the center O.
   - A point P is marked along this perpendicular axis, indicating the location where the electric field is to be calculated.
Transcribed Image Text:A circular ring of radius R, as in figure, is charged with a charge Q for half of its length and -Q for the other half. Imagine the ring on a plane. Calculate the electric field at some point, P, located at some distance d from the center of the ring and along the axis perpendicular to the plane containing the ring and passing through the center, O, of the ring. **Diagrams Explanation:** 1. **Top-Left Diagram:** - The diagram shows a circular ring with a radius R. - The ring is divided into two halves: one half is labeled with +Q indicating a positive charge, and the other half with -Q indicating a negative charge. - A point O is marked at the center of the ring. 2. **Top-Right Diagram:** - This side view depicts the ring as an ellipse due to the angle of view, with the same division of charges. - An axis is shown perpendicular to the plane of the ring, extending from the center O. - A point P is marked along this perpendicular axis, indicating the location where the electric field is to be calculated.
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