Answer:
![d=1.84\ mm](https://tex.z-dn.net/?f=d%3D1.84%5C%20mm)
Explanation:
<u>Capacitance</u>
A two parallel-plate capacitor has a capacitance of
![\displaystyle C=\frac{\epsilon_o A}{d}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D%5Cfrac%7B%5Cepsilon_o%20A%7D%7Bd%7D)
where
![\epsilon_o=8.85\cdot 10^{-12}\ F/m](https://tex.z-dn.net/?f=%5Cepsilon_o%3D8.85%5Ccdot%2010%5E%7B-12%7D%5C%20F%2Fm)
A = area of the plates = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
d = separation of the plates
![\displaystyle d=\frac{\epsilon_o A}{C}=\frac{\epsilon_o \pi r^2}{C}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%3D%5Cfrac%7B%5Cepsilon_o%20A%7D%7BC%7D%3D%5Cfrac%7B%5Cepsilon_o%20%5Cpi%20r%5E2%7D%7BC%7D)
We need to compute C. We'll use the circuit parameters for that. The reactance of a capacitor is given by
![\displaystyle X_c=\frac{1}{wC}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X_c%3D%5Cfrac%7B1%7D%7BwC%7D)
where w is the angular frequency
![w=2\pi f=2\pi \cdot 36000=226194.67\ rad/s](https://tex.z-dn.net/?f=w%3D2%5Cpi%20f%3D2%5Cpi%20%5Ccdot%2036000%3D226194.67%5C%20rad%2Fs)
Solving for C
![\displaystyle C=\frac{1}{wX_c}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D%5Cfrac%7B1%7D%7BwX_c%7D)
The reactance can be found knowing the total impedance of the circuit:
![Z^2=R^2+X_c^2](https://tex.z-dn.net/?f=Z%5E2%3DR%5E2%2BX_c%5E2)
Where R is the resistance,
. Solving for Xc
![X_c^2=Z^2-R^2](https://tex.z-dn.net/?f=X_c%5E2%3DZ%5E2-R%5E2)
The magnitude of the impedance is computed as the ratio of the rms voltage and rms current
![\displaystyle Z=\frac{V}{I}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Z%3D%5Cfrac%7BV%7D%7BI%7D)
The rms current is the peak current Ip divided by
, thus
![\displaystyle Z=\frac{\sqrt{2}V}{I_p}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Z%3D%5Cfrac%7B%5Csqrt%7B2%7DV%7D%7BI_p%7D)
![I_p=0.65\ mA/1000=0.00065\ A](https://tex.z-dn.net/?f=I_p%3D0.65%5C%20mA%2F1000%3D0.00065%5C%20A)
Now collect formulas
![\displaystyle X_c^2=Z^2-R^2=\left(\frac{\sqrt{2}V}{I_p}\right)^2-R^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X_c%5E2%3DZ%5E2-R%5E2%3D%5Cleft%28%5Cfrac%7B%5Csqrt%7B2%7DV%7D%7BI_p%7D%5Cright%29%5E2-R%5E2)
Or, equivalently
![\displaystyle X_c=\sqrt{\frac{2V^2}{I_p^2}-R^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X_c%3D%5Csqrt%7B%5Cfrac%7B2V%5E2%7D%7BI_p%5E2%7D-R%5E2%7D)
![\displaystyle X_c=\sqrt{\frac{2\cdot 18^2}{0.00065^2}-15000^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20X_c%3D%5Csqrt%7B%5Cfrac%7B2%5Ccdot%2018%5E2%7D%7B0.00065%5E2%7D-15000%5E2%7D)
![X_c=36176.34\ \Omega](https://tex.z-dn.net/?f=X_c%3D36176.34%5C%20%5COmega)
The capacitance is now
![\displaystyle C=\frac{1}{226194.67\cdot 36176.34}=1.22\cdot 10^{-10}\ F](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D%5Cfrac%7B1%7D%7B226194.67%5Ccdot%2036176.34%7D%3D1.22%5Ccdot%2010%5E%7B-10%7D%5C%20F)
The radius of the plates is
![r=18\ cm/2=9 \ cm = 0.09 \ m](https://tex.z-dn.net/?f=r%3D18%5C%20cm%2F2%3D9%20%5C%20cm%20%3D%200.09%20%5C%20m)
The separation between the plates is
![\displaystyle d=\frac{8.85\cdot 10^{-12} \cdot \pi\cdot 0.09^2}{1.22\cdot 10^{-10}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%3D%5Cfrac%7B8.85%5Ccdot%2010%5E%7B-12%7D%20%5Ccdot%20%5Cpi%5Ccdot%200.09%5E2%7D%7B1.22%5Ccdot%2010%5E%7B-10%7D%7D)
![d=0.00184\ m](https://tex.z-dn.net/?f=d%3D0.00184%5C%20m)
![\boxed{d=1.84\ mm}](https://tex.z-dn.net/?f=%5Cboxed%7Bd%3D1.84%5C%20mm%7D)
Answer:
The language you typed into the bar is Filipinio and can be translated to "what sources of information do you have in your home and how can it help?"
The sources of information most people have in their home are Books, Encyclopedias, Magazines, Databases, Newspapers, Library Catalog, Internet. Hope this helped!
Answer: 2.80 N/C
Explanation: In order to calculate the electric firld inside the solid cylinder
non conductor we have to use the Gaussian law,
∫E.ds=Q inside/ε0
E*2πrL=ρ Volume of the Gaussian surface/ε0
E*2πrL= a*r^2 π* r^2* L/ε0
E=a*r^3/(2*ε0)
E=6.2 * (0.002)^3/ (2*8.85*10^-12)= 2.80 N/C
1. b or c
2. c
3. a? or d
4.
5. a
Answer:
There is no place for first person in formal academic argumentative essay. However, you can use first person only if it has been asked to provide your personal opinion or reflection about the topic.
Explanation: