Answer:
The electron's speed is 34007.35 m/s
Explanation:
It is given that,
Magnetic field, B = 0.34 T
Magnetic force on the electron, ![F=1.85\times 10^{-15}\ N](https://tex.z-dn.net/?f=F%3D1.85%5Ctimes%2010%5E%7B-15%7D%5C%20N)
The electron follows a helical path. We have to find the speed of an electron. The formula for magnetic force is given by :
![F=B\times q\times v](https://tex.z-dn.net/?f=F%3DB%5Ctimes%20q%5Ctimes%20v)
q = charge on an electron, ![q=1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=q%3D1.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
v = velocity of an electron
![v=\dfrac{F}{Bq}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7BF%7D%7BBq%7D)
![v=\dfrac{1.85\times 10^{-15}\ N}{0.34\ T\times 1.6\times 10^{-19}\ C}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B1.85%5Ctimes%2010%5E%7B-15%7D%5C%20N%7D%7B0.34%5C%20T%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%5C%20C%7D)
v = 34007.35 m/s
Hence, this is the required solution.
Answer:
84.82N/C.
Explanation:
The x-components of the electric field cancel; therefore, we only care about the y-components.
The y-component of the differential electric field at the center is
.
Now, let us call
the charge per unit length, then we know that
;
therefore,
![$dE = \frac{k \lambda R d\theta }{R^2} sin(\theta )$](https://tex.z-dn.net/?f=%24dE%20%3D%20%5Cfrac%7Bk%20%5Clambda%20R%20d%5Ctheta%20%7D%7BR%5E2%7D%20sin%28%5Ctheta%20%29%24)
![$dE = \frac{k \lambda d\theta }{R} sin(\theta )$](https://tex.z-dn.net/?f=%24dE%20%3D%20%5Cfrac%7Bk%20%5Clambda%20%20d%5Ctheta%20%7D%7BR%7D%20sin%28%5Ctheta%20%29%24)
Integrating
![$E = \frac{k \lambda }{R}\int_0^\pi sin(\theta )d\theta$](https://tex.z-dn.net/?f=%24E%20%3D%20%5Cfrac%7Bk%20%5Clambda%20%20%20%7D%7BR%7D%5Cint_0%5E%5Cpi%20sin%28%5Ctheta%20%29d%5Ctheta%24)
![$E = \frac{k \lambda }{R}*[-cos(\pi )+cos(0) ]$](https://tex.z-dn.net/?f=%24E%20%3D%20%5Cfrac%7Bk%20%5Clambda%20%20%20%7D%7BR%7D%2A%5B-cos%28%5Cpi%20%29%2Bcos%280%29%20%5D%24)
![$E = \frac{2k \lambda }{R}.$](https://tex.z-dn.net/?f=%24E%20%3D%20%5Cfrac%7B2k%20%5Clambda%20%20%20%7D%7BR%7D.%24)
Now, we know that
![\lambda = 3.0*10^{-9}C/m,](https://tex.z-dn.net/?f=%5Clambda%20%3D%203.0%2A10%5E%7B-9%7DC%2Fm%2C)
![k = 9*10^9kg\cdot m^3\cdot s^{-4}\cdot A^{-2},](https://tex.z-dn.net/?f=k%20%3D%209%2A10%5E9kg%5Ccdot%20m%5E3%5Ccdot%20s%5E%7B-4%7D%5Ccdot%20A%5E%7B-2%7D%2C)
and the radius of the semicircle is
![\pi R = 2.0m,\\\\R = \dfrac{2.0m}{\pi };](https://tex.z-dn.net/?f=%5Cpi%20R%20%3D%202.0m%2C%5C%5C%5C%5CR%20%3D%20%5Cdfrac%7B2.0m%7D%7B%5Cpi%20%7D%3B)
therefore,
![$E = \frac{2(9*10^9) (3.0*10^{-9}) }{\dfrac{2.0}{\pi } }.$](https://tex.z-dn.net/?f=%24E%20%3D%20%5Cfrac%7B2%289%2A10%5E9%29%20%283.0%2A10%5E%7B-9%7D%29%20%20%20%7D%7B%5Cdfrac%7B2.0%7D%7B%5Cpi%20%7D%20%7D.%24)
![$\boxed{E = 84.82N/C.}$](https://tex.z-dn.net/?f=%24%5Cboxed%7BE%20%3D%2084.82N%2FC.%7D%24)
Answer: True
Explanation: Because of the way this water cycle has always circulated our planet, there is indeed a chance that the water in your glass is the same water that thirsty dinosaurs were drinking about 65 million years ago
Answer:
They are the same
Explanation:
Electromagnetic waves consist of perpendicular oscillations of electric and magnetic field, which oscillate perpendicularly to the direction of motion of the wave (transverse wave). One property of the electromagnetic waves is that they travel in a vacuum always at the same speed, called speed of light:
![c=3.0\cdot 10^8 m/s](https://tex.z-dn.net/?f=c%3D3.0%5Ccdot%2010%5E8%20m%2Fs)
Electromagnetic waves are classified into 7 different types according to their frequency; from highest to lowest frequency, we have:
Gamma rays
X-rays
Ultraviolet
Visible light
Infrared
Microwaves
Radio waves
We see that both visible light and gamma rays are electromagnetic waves, so they both travel in a vacuum at the same speed, the speed of light.