In the figure, a nonconducting rod of length \( L = 8.20 \, \text{cm} \) has charge \( -q = -4.24 \, \text{fC} \) uniformly distributed along its length. **(a)** What is the linear charge density of the rod? What are the **(b)** magnitude and **(c)** direction (positive angle relative to the positive direction of the x-axis) of the electric field produced at point \( P \), at a distance \( a = 14.5 \, \text{cm} \) from the rod? What is the electric field magnitude produced at a distance \( a = 58 \, \text{m} \) by **(d)** the rod and **(e)** a particle of charge \( -q = -4.24 \, \text{fC} \) that replaces the rod?---**Diagram Explanation:**The diagram shows a nonconducting rod placed along the x-axis. The rod has a length \( L \) and charge \( -q \) is uniformly distributed along it. A point \( P \) is shown at a distance \( a \) from the end of the rod along the x-axis. The variables \( L \) (length of the rod) and \( a \) (distance from point \( P \) to the rod) are indicated, with the direction of the x-axis and an arrow pointing to \( P \).

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