A line of positive charge is formed into a semicircle of radius R = 65.0 cm, as shown in the figure below. The charge per unit length along the semicircle is given by the expression A = 1, cos(e). The total charge on the semicircle is 10.0 µC. Calculate the total force on a charge of 6.00 µC placed at the center of curvature.
A line of positive charge is formed into a semicircle of radius R = 65.0 cm, as shown in the figure below. The charge per unit length along the semicircle is given by the expression A = 1, cos(e). The total charge on the semicircle is 10.0 µC. Calculate the total force on a charge of 6.00 µC placed at the center of curvature.
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Calculate the total force on a charge of 6.00 µC placed at the center of curvature.
Transcribed Image Text:A line of positive charge is formed into a semicircle of radius \( R = 65.0 \, \text{cm} \), as shown in the figure below. The charge per unit length along the semicircle is given by the expression \( \lambda = \lambda_0 \cos(\theta) \). The total charge on the semicircle is \( 10.0 \, \mu \text{C} \). Calculate the total force on a charge of \( 6.00 \, \mu \text{C} \) placed at the center of curvature.
**Diagram Explanation:**
The diagram shows:
- A semicircle with radius \( R \).
- A coordinate system with the origin at point \( P \), the center of curvature.
- An angle \( \theta \) indicating the position along the semicircle.
- An arrow along the \( y \)-axis indicating the direction of force measurement.
**Interactive Elements:**
There are input fields for:
- Entering the magnitude of the force in newtons (N).
- Selecting the direction of the force.
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