(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given a coaxial cylindrical capacitor with a dialectric constant of 87.9, what field strength is needed to oscillate a dipole within the field at 175,000 hz...?

What dimensions would the capacitor have in order to produce the field strength needed for that oscillation...?

2. Relevant equations

Given that Torque = P (dipole moment) X E(field strength)

T= P X E

& T=I (moment of Inertia) * a (alpha, angular accelleration)

Therefore P X E = I * a

rearranging a = P X E/I

For simple harmonic motion, T (period in seconds) = 2*pi*sqrt(I/P X E)

T= 1/f

P= 6.24E-30 C m

I = (z axis) = 1.92E-47 Kg m^2

3. The attempt at a solution

My result yields the E (field strength) of 2.67E5 N/C

If this is correct, what capacitor design will provide this given the following constraints?

Radius no greater than approximately 7 cm for the outer electrode

Electrode length no longer than approximately 30 cm for both electrodes

What voltage will be applied?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find a relationship between C & E

**Physics Forums | Science Articles, Homework Help, Discussion**