Maxwell built upon Faraday's discoveries concerning lines of force of both electric charges and magnetic poles through the application of mathematics.
Every wave has a particular apeed:
Water: v = sqrt(qy/2pi)
Sound: v = sqrt(p/dr)
Linked oscillators: v = sqrt(k/m)
Maxwell attempted to determine the speed of waves in Faraday's lines of force. These forces were similar to the following equations:
F(g) = -G m1m2/r^2 (r^)
F(e) = ke q1q2/r^2 (r^)
F(m) = km p1p2/r^2 (r^)
Specific constants:
G = 6.7 x 10^-11 Nm^2/kg^2
ke = 9 x 10^9 Nm^2/ c^2
km = 1 x 10^-7 Ns^2/c^2
Since these equations are not independent, ke and km are related:
ke/km = 3 x 10^8 m/s^2 or the speed of light where both magnetic and electric waves propogate at the speed of light.
The medium through which these waves propagate is the electromagnetic field, and they obey these equations:
0integral(integral( B dA)) = 0
E(o)d/dtintegral(integral( E dA)) = I
0integral( B dr) = u(o) (I + E(o)d/dt integral(integral(E dA)))
0integral( E dr) = 0
With every electric wave, there is also a magnetic wave.
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