It should be AC power source
Answer: 363 Ω.
Explanation:
In a series AC circuit excited by a sinusoidal voltage source, the magnitude of the impedance is found to be as follows:
Z = √((R^2 )+〖(XL-XC)〗^2) (1)
In order to find the values for the inductive and capacitive reactances, as they depend on the frequency, we need first to find the voltage source frequency.
We are told that it has been set to 5.6 times the resonance frequency.
At resonance, the inductive and capacitive reactances are equal each other in magnitude, so from this relationship, we can find out the resonance frequency fo as follows:
fo = 1/2π√LC = 286 Hz
So, we find f to be as follows:
f = 1,600 Hz
Replacing in the value of XL and Xc in (1), we can find the magnitude of the impedance Z at this frequency, as follows:
Z = 363 Ω
Answer:
Galileo is one of the most revolutionary scientists in terms of the novelty of his ideas.
He made great advances in the laws of motion and astronomical matters, as well as the creation of telescopes, making the first observations of the Moon, Venus and Jupiter satellites.
He supported Copernicus's idea that the earth revolves around the sun, which was a controversial idea for his time, and the reason why his books were banned because the idea that the earth was not the center of the universe was not yet a well received idea.
For his ideas he was persecuted by the Inquisition and accused of heresy, but he was a proud man and stayed true to his ideas .
<span>This phenomenon is known as illusion of attention and sometimes can include inattentional blindness. Basically, as humans, we are not used to backgrounds and people suddenly changing so our brains are not thinking to look for it.</span>
Answer:
The time taken for the alpha particle is 5.301x10⁻⁷s
Explanation:
The centripetal force is equal:
![F=\frac{mv^{2} }{r}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bmv%5E%7B2%7D%20%7D%7Br%7D)
The magnetic force is equal:
![F_{m} =Bqv](https://tex.z-dn.net/?f=F_%7Bm%7D%20%3DBqv)
Matching both expressions:
![\frac{mv^{2} }{r} =Bqv\\r=\frac{mv}{Bq}](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%5E%7B2%7D%20%7D%7Br%7D%20%3DBqv%5C%5Cr%3D%5Cfrac%7Bmv%7D%7BBq%7D)
Where
m = 6.64x10⁻²⁷kg
v = 4.8x10⁵m/s
B = 0.123 T
q = 1.6x10⁻¹⁹C
![r=\frac{6.64x10^{-27}*4.8x10^{5} }{0.123*2*1.6x10^{-19} } =0.081m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6.64x10%5E%7B-27%7D%2A4.8x10%5E%7B5%7D%20%20%7D%7B0.123%2A2%2A1.6x10%5E%7B-19%7D%20%7D%20%3D0.081m)
The time taken for the alpha particle is:
![t=\frac{\pi r}{v} =\frac{\pi 0.081}{4.8x10^{5} } =5.301x10^{-7}s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cpi%20r%7D%7Bv%7D%20%3D%5Cfrac%7B%5Cpi%200.081%7D%7B4.8x10%5E%7B5%7D%20%7D%20%3D5.301x10%5E%7B-7%7Ds)