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Transcribed Image Text:**Title: Understanding a Semi-Circular Line of Charge**
**Figure 2: Semi-Circular Line of Charge, with Radius \( r \)**
**Description:**
This figure illustrates a semi-circular line of charge with a radius \( r \). In the diagram, a semi-circle is centered at a point \( p \). The angle \( \theta \) is measured from the horizontal \( x \)-axis to the radius \( r \).
**Scenario:**
Consider the charge configuration shown in Figure 2. The semi-circular line of charge has a constant radius \( r \) and a linear charge density given by \( \lambda = \beta \sin(\theta) \), where \( \beta \) is a constant.
**Objective:**
Determine the electric field at point \( p \).
**Instructions:**
Calculate the electric field at point \( p \) due to the given charge distribution. Express your answer in rectangular coordinates (i.e., in terms of \( x \) and \( y \) components).
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