- #1
Bryon
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Homework Statement
Parallel plate capacitor with circular plates with radius of 26mm and a plate separation of 6mm. A sinusiodal potential difference is applied across the capacitors plates with Vmax = 170V at a frequency of 60Hz.
170sin(2*pi*60Hz*t)
Homework Equations
V = ∫E∙dl = El (l is the distance)
Maxwell-Ampere
∫B∙dl = u0(I + ε0(dΦe/dt))
A = pi*r^2
dΦe/dt = dEA/dt = A(dE/dt)
The Attempt at a Solution
B2*pi*r = u0 *ε0*A(dE/dt)
E = 170sin(2*pi*60Hz*t)/(0.003)V/M (I used the distance between the plates to find the e-field).
dE/dt 170sin(2*pi*60Hz) = 20400*pi*cos(120*pi*t)/(0.003)
∫B∙dl = B*2*pi*r
B*2*pi*0.013 = u0 *ε0*(pi*0.026^2)* 20400*pi*cos(120*pi*t)/(0.003)
B = 6.17711x10^-12 T
I thought I was on the right track, but it turns out that this was not correct. I think this was my best approach to the problem and at this point I do not know what else to try. I have a feeling that the electric field is not correct but I do not see what is wrong with it. Any suggestions?