A straight, nonconducting plastic wire 7.00 cm
 long carries a charge density of 175 nC/m
 distributed uniformly along its length. It is lying on a horizontal tabletop

To solve this problem, let's break down the given information:

- The wire is **7.00 cm** long, which we can convert to meters:  
  \[
  L = 7.00 \, \text{cm} = 0.07 \, \text{m}
  \]
- The linear charge density of the wire is given as **175 nC/m**. We can convert this into coulombs per meter:
  \[
  \lambda = 175 \, \text{nC/m} = 175 \times 10^{-9} \, \text{C/m} = 1.75 \times 10^{-7} \, \text{C/m}
  \]

Since no specific task has been asked yet, we can explore various quantities related to this problem, such as:

1. **Total charge on the wire**:
   The total charge \( Q \) on the wire can be calculated by multiplying the linear charge density \( \lambda \) by the length of the wire \( L \):
   \[
   Q = \lambda \times L = (1.75 \times 10^{-7} \, \text{C/m}) \times (0.07 \, \text{m}) = 1.225 \times 10^{-8} \, \text{C} = 12.25 \, \text{nC}
   \]
   So, the total charge on the wire is **12.25 nC**.

If you'd like to explore other aspects of this problem, like calculating the electric field at a certain point or the potential due to this charged wire, please let me know!

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Would you like more details, or do you have any specific questions about this setup?

Here are 5 related questions for further exploration:
1. How would you calculate the electric field due to this wire at a point above the table?
2. What is the electric potential at a point on the table due to this uniformly charged wire?
3. How does the charge distribution affect the electric field at different points near the wire?
4. If the wire were bent into a different shape, how would that change the calculation of the electric field or potential?
5. What happens to the electric field if the length of the wire or charge density is increased?

**Tip**: When working with charge distributions, remember that the shape and orientation of the charged object can significantly influence the resulting electric field

A straight, nonconducting plastic wire 7.00 cm long carries a charge density of 175 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop.

Learn how to calculate the total charge on a 7.00 cm long nonconducting wire with a uniform charge density of 175 nC/m. This solution involves basic electrostatic principles and formulas such as linear charge density and Coulomb's law, suitable for undergraduate-level physics students.

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