Given charge of uniform density. What is the electrical potential @?

In summary, the question is asking for the electrical potential at the center of a circle with a charge of uniform density of 4.50nC/m distributed along its circumference. Using the equation V=kQ/r, the potential is equal to 254.5V.
  • #1
RedLego
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Homework Statement


Charge of uniform density 4.50nC/m is distributed along the circle of radius R. What is the electrical potential (relative to zero at infinity) at the centre of the circle?

Answer: 254V

Homework Equations


electric potential: V=kQ/r

The Attempt at a Solution


Because the charge of uniform density is 4.50 x 10^-9 C/m
I would assumed that would equal to Q/r, and all I need to do is multiply it by k, 8.99 x 10^9Nm^2/c^2.

V= (8.99 x 10^9)(4.50 x 10^-9) = 40.455V

Of course this is incorrect, tried searching it up on google, but failed. :(
 
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  • #2
If it's 4.50nC/m, what's the total charge, Q?
 
  • #3
OHH! haha thanks i got it now :)

4.50nC/m * 2pi * k = 254.5V
 

What is the concept of charge of uniform density?

Charge of uniform density refers to a distribution of charge where the amount of charge per unit volume is constant throughout the given space. This type of charge distribution is often used to model objects such as spheres or cylinders.

How is the charge of uniform density calculated?

The charge of uniform density can be calculated by multiplying the volume of the object by the charge per unit volume. This can be expressed mathematically as Q = ρV, where Q is the total charge, ρ is the charge density, and V is the volume.

What is the equation for the electrical potential of a charge of uniform density?

The equation for the electrical potential of a charge of uniform density is V = kρr, where k is the Coulomb's constant, ρ is the charge density, and r is the distance from the center of the object. This equation is valid for points outside the object.

Can the electrical potential of a charge of uniform density be negative?

Yes, the electrical potential of a charge of uniform density can be negative. This would occur if the charge of the object is negative and the distance from the center of the object is greater than the radius. In this case, the electrical potential would be negative as the charge would be attracting other charges towards it.

How does the electrical potential change with distance for a charge of uniform density?

The electrical potential for a charge of uniform density decreases with distance from the center of the object. This decrease follows an inverse square law, meaning that as the distance doubles, the electrical potential decreases by a factor of four.

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