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

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SUMMARY

The discussion focuses on calculating the electric field at a point P due to a non-conducting disk with a radius of 1.25 cm and a total charge of 6.55 nC. The user applied the formula k/2Σσ [1 - (1/((R^2/X^2 +1)^1/2))] but was initially uncertain about determining the surface linear charge density. The solution involved calculating the charge on a differential ring and dividing it by the circumference of the ring to find the linear charge density, ultimately leading to a successful resolution of the problem.

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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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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:
 
No worries - solved :)
 

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