Electric field exerted at P due to a non-conducting disk

In summary, the problem involves finding the electric field (magnitude) at a point P on the x-axis, with a non-conducting disk of radius 1.25cm and charge 6.55nc placed at the origin. The general formula used takes into account the surface linear charge density, which is determined by dividing the charge on the ring by the circumference of the ring. This helps to solve for the electric field at point P.
  • #1
binbagsss
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A non-conducting disk has radius 1.25cm and charge 6.55nc.
What is the electric field (magnitude) experienced at a point P - where p = 2cm and is on the x-axis.
The disk's centre is placed at the origin.


I approached this problem using the general formula derived:

k/2Σσ [1 - (1/((R^2/X^2 +1)^1/2))]

However I have no idea what the surface linear charge density should be due to dQ and dR.

Thanks guys, really appreciated ... =]
 
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  • #2
binbagsss said:
… I have no idea what the surface linear charge density should be due to dQ and dR.

ohh! you mean the linear charge density for the ring of radius r to r+dr ?

well, the charge on the ring is dQ = Q times area of ring / area of disc

so the linear charge density is that divided by the length (ie the circumference of the ring) :wink:
 
  • #3
No worries - solved :)
 

FAQ: Electric field exerted at P due to a non-conducting disk

What is an electric field?

An electric field is a physical quantity that describes the force experienced by a charged particle in an electric field. It is a vector quantity, meaning it has both magnitude and direction.

How is the electric field exerted at a point?

The electric field at a point is exerted by the presence of charged particles in its vicinity. These charged particles create an electric field that extends outwards in all directions and can exert a force on other charged particles.

How is the electric field exerted at a point due to a non-conducting disk?

The electric field exerted at a point due to a non-conducting disk can be calculated using the equation E = σ/2ε0, where E is the electric field, σ is the surface charge density of the disk, and ε0 is the permittivity of free space.

What factors affect the electric field exerted by a non-conducting disk?

The electric field exerted by a non-conducting disk is affected by the surface charge density of the disk, the distance from the disk, and the permittivity of the surrounding medium. It is also influenced by the shape and size of the disk.

How does the electric field exerted at a point change as the distance from the non-conducting disk increases?

The electric field exerted at a point due to a non-conducting disk decreases as the distance from the disk increases. This is because the electric field lines spread out as they move away from the disk, resulting in a decrease in the electric field strength.

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