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Transcribed Image Text:In the figure, a nonconducting spherical shell with an inner radius \( a = 2.33 \, \text{cm} \) and an outer radius \( b = 2.42 \, \text{cm} \) has, within its thickness, a positive volume charge density \( \rho = \frac{A}{r} \), where \( A \) is a constant and \( r \) is the distance from the center of the shell. Additionally, a small ball with a charge of \( q = 48.4 \, \text{fC} \) is located at that center. What value should \( A \) have if the electric field in the shell (\( a \leq r \leq b \)) is to be uniform?
**Diagram Explanation:**
The diagram depicts a cross-section of the spherical shell:
- The shaded area represents the shell.
- The inner radius \( a \) and outer radius \( b \) are marked.
- A charge \( q \) is shown at the center of the shell.
**Input Field:**
- A text box is provided for calculating and inputting the numeric value of \( A \).
- Units for \( A \) are specified as \(\text{C/m}^2\).
**Example Calculation:**
- The solution provides \( A = 4.36 \times 10^{-11} \, \text{C/m}^2 \).
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