Linear Charge Density (Question on the problem)

In summary, the problem involves a charge of -310e distributed along a circular arc with radius 4.15 cm and angle of 43°. The linear charge density along the arc can be calculated using the equation Density = Charge/length, which requires knowing the length of the arc. The given angle of 43° refers to the fraction of a full circle that the arc spans.
  • #1
exitwound
292
1

Homework Statement



A charge of -310e is uniformly distributed along a circular arc of radius 4.15 cm, which subtends an angle of 43°. What is the linear charge density along the arc in C/m?

Homework Equations



Density = Charge/length

The Attempt at a Solution



Charge = -310(1.6E-19) = -4.96E-17 C

Length = ??

This is because I don't know what "subtends an angle of 43" means. Does it mean the circular arc is 43/360 degrees of a circle?
 
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  • #2
exitwound said:
This is because I don't know what "subtends an angle of 43" means. Does it mean the circular arc is 43/360 degrees of a circle?
Yes, that's exactly what it means.
 
  • #3
Okay, thanks!
 

1. What is linear charge density?

Linear charge density, denoted by λ, is a physical quantity that describes the amount of electric charge per unit length along a line. It is measured in units of coulombs per meter (C/m).

2. How is linear charge density calculated?

The linear charge density is calculated by dividing the total charge along a line by the length of that line. It can be expressed mathematically as: λ = Q / L, where Q is the total charge and L is the length of the line.

3. What is the difference between linear charge density and linear charge?

Linear charge density refers to the amount of charge per unit length along a line, while linear charge refers to the total amount of charge along that line. Linear charge density is a measure of how the charge is distributed along the line, while linear charge is a measure of the total charge present.

4. How does linear charge density affect electric fields?

Linear charge density plays a role in determining the strength of electric fields. In a uniform linear charge distribution, the electric field strength at a point is directly proportional to the linear charge density at that point. Higher linear charge density results in a stronger electric field.

5. Can linear charge density be negative?

Yes, linear charge density can be negative. Negative linear charge density indicates that the charge is distributed in the opposite direction of the line. This can occur in situations where there are both positive and negative charges present along the line.

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