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charlies1902
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Homework Statement
the e field is given by (2*pi*k*omega)[1-(1+(R^2)/(z^2))^-.5]
I was wondering if the capital R in that equation is the radius of the charged disk? And if so, why is it capitalized?
Yeah, that looks about right to me! Good job.charlies1902 said:Homework Statement
the e field is given by (2*pi*k*omega)[1-(1+(R^2)/(z^2))^-.5]
Yes.I was wondering if the capital R in that equation is the radius of the charged disk?
So as not to confuse it with r, the radius component of the position vector (in cylindrical coordinates), the distance to the z-axis. Often you'll find that it is somewhat conventional in physics to use lower case letters for variables and capital letters for constants. (Of course some fundamental constants use Greek letters, or special lowercase letters -- yeah, I know it might be confusing, but it's a loose convention and not cut in stone. You'll often come across exceptions too). It's assumed that the radius of the disk is not dynamically changing, so it's treated as a constant.And if so, why is it capitalized?
The "Quick yes or no charged disc e field equation" refers to a mathematical formula used to calculate the electric field surrounding a charged disc. It is commonly used in physics and engineering to analyze the behavior of electric fields.
The "Quick yes or no charged disc e field equation" is derived from Gauss's Law, which states that the electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of free space. By applying this law to a charged disc, the equation is derived.
The variables in the "Quick yes or no charged disc e field equation" are the magnitude of the charge on the disc (Q), the radius of the disc (R), and the distance from the center of the disc to the point where the electric field is being measured (r).
The units used in the "Quick yes or no charged disc e field equation" depend on the system of units being used. In SI units, the electric field is measured in newtons per coulomb (N/C), the charge is measured in coulombs (C), and the distance is measured in meters (m).
The "Quick yes or no charged disc e field equation" is significant because it allows us to calculate the strength and direction of the electric field at any point surrounding a charged disc. This information is crucial in understanding the behavior of electric fields and their effects on charged particles.