How Does Gauss's Law Relate R and b When Flux Through a Disk is One Fourth?

Thread starter nosracsan
Start date Nov 14, 2009
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Charges Gauss's law Law Point Point charges

AI Thread Summary

To determine the relationship between the radius R of a disk and the distance b from a point charge Q, it is established that if one fourth of the electric flux from the charge passes through the disk, then R must equal the square root of three times b (R = sqrt(3)b). The discussion emphasizes the application of Gauss's Law to derive this relationship, suggesting that the geometry of the setup is crucial for understanding the flux distribution. The hint provided indicates that the solution involves analyzing the symmetry and electric field lines associated with the charge and the disk. The attached diagrams are essential for visualizing the problem and confirming the calculations. This relationship is significant in electrostatics and helps in understanding electric flux through surfaces.

Nov 14, 2009

nosracsan

Homework Statement

A point charge Q is located on the axis of a disk of radius R at a distance b from the plane of the disk (Fig. below left). Show that if one fourth of the electric flux from the charge passes through the disk, then R = sqrt(3)b.

PLEASE SEE ATTACHED WORD DOCUMENT FOR DIAGRAMS!

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Nov 15, 2009

Doc Al

Mentor

Where's your solution? (They give you a big hint.)

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