HELp for linear charge distribution

In summary, a linear charge distribution is a continuous distribution of charge along a line, with a constant charge density and decreasing charge magnitude as you move further away from the line. It differs from a point charge, which is a single charge at a specific point in space. The equation for electric field due to a linear charge distribution is E = (λ/2πε<sub>0</sub>r), and the electric potential can be calculated using the equation V = (λ/2πε<sub>0</sub>) ln(r/r<sub>0</sub>). A linear charge distribution can have a negative charge, with the charge density determining the direction of the electric field and potential.
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nowitzki49
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a long glass filament carries a charge density = -2.7nC/m. what is the magnitude of the electric field 0.67 mm from the filament?
 
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  • #2
Welcome to PF. It is the policy of this forum that you shw some attempt to do the question yourself. We can't help you if we don't know where you're going wrong.
 

1. What is a linear charge distribution?

A linear charge distribution is a type of electric charge distribution in which the charge is spread out in a straight line. This means that the charge density is constant along the line and the magnitude of the charge decreases as you move further away from the line.

2. How is linear charge distribution different from point charge?

A point charge is a single charge located at a specific point in space, while a linear charge distribution is a continuous distribution of charge along a line. This means that the electric field produced by a linear charge distribution will vary depending on the distance from the line, while the electric field of a point charge will be the same at all points in space.

3. What is the equation for electric field due to a linear charge distribution?

The electric field at a point on the perpendicular bisector of a linear charge distribution can be calculated using the equation E = (λ/2πε0r), where λ is the linear charge density, ε0 is the permittivity of free space, and r is the distance from the charge distribution to the point.

4. How can I use linear charge distribution to calculate the potential at a point?

To calculate the electric potential at a point due to a linear charge distribution, you can use the equation V = (λ/2πε0) ln(r/r0), where V is the potential at the point, λ is the linear charge density, ε0 is the permittivity of free space, r is the distance from the charge distribution to the point, and r0 is a reference distance.

5. Can a linear charge distribution have a negative charge?

Yes, a linear charge distribution can have a negative charge. The charge density, λ, can be positive or negative, depending on the direction of the charge along the line. A negative charge density would result in a negative electric field and potential, while a positive charge density would result in a positive electric field and potential.

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