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In the figure a nonconducting spherical shell of inner radius a = 2.33 cm and outer radius b = 2.42 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and ris the distance from the center of the shell. In addition, a small ball of charge q = 48.4 fC is located at that center. What value should A have if the electric field in the shell (a srsb) is to be uniform? Number i 4.36E-11 Units C/m^2

In the figure a nonconducting spherical shell of inner radius a = 2.33 cm and outer radius b = 2.42 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and ris the distance from the center of the shell. In addition, a small ball of charge q = 48.4 fC is located at that center. What value should A have if the electric field in the shell (a srsb) is to be uniform? Number i 4.36E-11 Units C/m^2

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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 \( A = 4.36 \times 10^{-11} \, \text{C/m}^2 \).
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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