In the figure a plastic rod having a uniformly distributed charge Q = -20.4 pC has been bent into a circular arc of radius 3.10 cm and central angle 120°. With V = 0 at infinity, what is the electric potential in volts at P, the center of curvature of the rod?

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Chapter1: Units, Trigonometry. And Vectors
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In the figure a plastic rod having a uniformly distributed charge Q = -20.4 pC has been bent into a circular arc of radius 3.10 cm and central angle 120°. With V = 0 at infinity, what is the electric potential in volts at P, the center of curvature of the rod?

The diagram illustrates a geometric scenario involving a circle segment. Here is a detailed explanation:

1. **Point P**: This is the center or origin from which the angle and radius are drawn.

2. **Angle ϕ**: This is the angle formed by two radius lines extending from point P outwards. 

3. **Line R**: Represents the radius extending from point P to the outer curve.

4. **Arc Q**: The curved line connecting the ends of the two radii, highlighted in orange, forming part of the circle's circumference.

5. **Dashed Lines**: Indicate the boundaries of the sector formed by the angle ϕ.

The diagram represents a sector of a circle, useful in understanding the relationship between radii, angles, and arc length in geometry.
Transcribed Image Text:The diagram illustrates a geometric scenario involving a circle segment. Here is a detailed explanation: 1. **Point P**: This is the center or origin from which the angle and radius are drawn. 2. **Angle ϕ**: This is the angle formed by two radius lines extending from point P outwards. 3. **Line R**: Represents the radius extending from point P to the outer curve. 4. **Arc Q**: The curved line connecting the ends of the two radii, highlighted in orange, forming part of the circle's circumference. 5. **Dashed Lines**: Indicate the boundaries of the sector formed by the angle ϕ. The diagram represents a sector of a circle, useful in understanding the relationship between radii, angles, and arc length in geometry.
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