Answer:
a) r=4.24cm d=1 cm
b) ![Q=5x10^{-10} C](https://tex.z-dn.net/?f=Q%3D5x10%5E%7B-10%7D%20C)
Explanation:
The capacitance depends only of the geometry of the capacitor so to design in this case knowing the Voltage and the electric field
![V=1.00x10^{2}v\\E=1.00x10^{4} \frac{N}{C}](https://tex.z-dn.net/?f=V%3D1.00x10%5E%7B2%7Dv%5C%5CE%3D1.00x10%5E%7B4%7D%20%5Cfrac%7BN%7D%7BC%7D)
![V=E*d\\d=\frac{V}{E}\\d=\frac{1.0x10^{2}}{1.0x10^{4}}\\d=0.01m](https://tex.z-dn.net/?f=V%3DE%2Ad%5C%5Cd%3D%5Cfrac%7BV%7D%7BE%7D%5C%5Cd%3D%5Cfrac%7B1.0x10%5E%7B2%7D%7D%7B1.0x10%5E%7B4%7D%7D%5C%5Cd%3D0.01m)
The distance must be the separation the r distance can be find also using
![C=\frac{Q}{V_{ab}}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7BQ%7D%7BV_%7Bab%7D%7D)
But now don't know the charge these plates can hold yet so
a).
d=0.01m
![C=E_{o}*\frac{A}{d}\\A=\frac{C*d}{E_{o}}](https://tex.z-dn.net/?f=C%3DE_%7Bo%7D%2A%5Cfrac%7BA%7D%7Bd%7D%5C%5CA%3D%5Cfrac%7BC%2Ad%7D%7BE_%7Bo%7D%7D)
![A=\frac{5pF*0.01m}{8.85x10^{-12}\frac{F}{m}}\\A=5.69x10^{-3}m^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B5pF%2A0.01m%7D%7B8.85x10%5E%7B-12%7D%5Cfrac%7BF%7D%7Bm%7D%7D%5C%5CA%3D5.69x10%5E%7B-3%7Dm%5E%7B2%7D)
![A=\pi *r^{2}\\r=\sqrt{\frac{A}{r}}\\r=\sqrt{\frac{5.64x10^{-3}m^{2} }{\pi } } \\r=42.55x^{-3}m](https://tex.z-dn.net/?f=A%3D%5Cpi%20%2Ar%5E%7B2%7D%5C%5Cr%3D%5Csqrt%7B%5Cfrac%7BA%7D%7Br%7D%7D%5C%5Cr%3D%5Csqrt%7B%5Cfrac%7B5.64x10%5E%7B-3%7Dm%5E%7B2%7D%20%7D%7B%5Cpi%20%7D%20%7D%20%20%5C%5Cr%3D42.55x%5E%7B-3%7Dm)
b).
![C=\frac{Q}{V_{ab}}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7BQ%7D%7BV_%7Bab%7D%7D)
![Q=C*V\\Q=5x10^{-12} F*1x10^{2}\\Q=5x10^{-10}C](https://tex.z-dn.net/?f=Q%3DC%2AV%5C%5CQ%3D5x10%5E%7B-12%7D%20F%2A1x10%5E%7B2%7D%5C%5CQ%3D5x10%5E%7B-10%7DC)
A diverging lens has a focal length of magnitude 21.8 cm and the images are located behind the lens.
(a) u = -10.9 cm
1/v= 1/10.9 - 1/21.9
v= 21.8cm
Behind the lens.
(b) 1. Virtual
2. Virtual
3. Real
(c) m = v/u
1. Erect/ Upright
2. Upright
3. Inverted
(d) m = v/u
1. m = -43.6/-43.6 = 1. Magnification = 1.
2. infinity.
3. m = 21.8 / -10.9 = -2. Magnification = -2.
Therefore, these are the answers for above given question.
To know more about diverging lens visit
brainly.com/question/3140453
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Answer:
D
Explanation:
Remember that magnets only attract at different poles. If both poles are the same, they repel
<h2>
Angular speed = 0.5 revolutions/second = 3.14 rad/s</h2>
Explanation:
a) The merry-go-round makes 3.0 revolutions in 6.0 seconds
Time taken for 3 revolutions = 6 s
Time taken for 1 revolution = 6÷3 = 2 s
That is period, T = 2 s
We know that
![\texttt{Angular speed},\omega =\frac{2\pi }{T}](https://tex.z-dn.net/?f=%5Ctexttt%7BAngular%20speed%7D%2C%5Comega%20%3D%5Cfrac%7B2%5Cpi%20%7D%7BT%7D)
Substituting
![\texttt{Angular speed},\omega =\frac{2\pi }{2}=3.14rad/s\\\\\texttt{Angular speed},\omega =\frac{2\pi }{2\times 2\pi}=0.5revolutions/s](https://tex.z-dn.net/?f=%5Ctexttt%7BAngular%20speed%7D%2C%5Comega%20%3D%5Cfrac%7B2%5Cpi%20%7D%7B2%7D%3D3.14rad%2Fs%5C%5C%5C%5C%5Ctexttt%7BAngular%20speed%7D%2C%5Comega%20%3D%5Cfrac%7B2%5Cpi%20%7D%7B2%5Ctimes%202%5Cpi%7D%3D0.5revolutions%2Fs)
Angular speed = 0.5 revolutions/second = 3.14 rad/s