The electrostatic force between the two ions is ![2.9\cdot 10^{-10} N](https://tex.z-dn.net/?f=2.9%5Ccdot%2010%5E%7B-10%7D%20N)
Explanation:
The electrostatic force between two charged particle is given by Coulomb's law:
![F=k\frac{q_1 q_2}{r^2}](https://tex.z-dn.net/?f=F%3Dk%5Cfrac%7Bq_1%20q_2%7D%7Br%5E2%7D)
where
is the Coulomb's constant
are the two charges
r is the separation between the two charges
In this problem, the ion of sodium has a charge of
![q_1 = +e = +1.6\cdot 10^{-19} C](https://tex.z-dn.net/?f=q_1%20%3D%20%2Be%20%3D%20%2B1.6%5Ccdot%2010%5E%7B-19%7D%20C)
while the ion of chlorine has a charge of
![q_2 = -e = -1.6\cdot 10^{-19}C](https://tex.z-dn.net/?f=q_2%20%3D%20-e%20%3D%20-1.6%5Ccdot%2010%5E%7B-19%7DC)
And the distance between the two ions is
![r=282 pm = 282\cdot 10^{-12} m](https://tex.z-dn.net/?f=r%3D282%20pm%20%3D%20282%5Ccdot%2010%5E%7B-12%7D%20m)
Substituting, we find the electrostatic force between the two ions:
![F=(8.99\cdot 10^9) \frac{(1.6\cdot 10^{-19})(-1.6\cdot 10^{-19})}{(282\cdot 10^{-12})^2}=-2.9\cdot 10^{-10} N](https://tex.z-dn.net/?f=F%3D%288.99%5Ccdot%2010%5E9%29%20%5Cfrac%7B%281.6%5Ccdot%2010%5E%7B-19%7D%29%28-1.6%5Ccdot%2010%5E%7B-19%7D%29%7D%7B%28282%5Ccdot%2010%5E%7B-12%7D%29%5E2%7D%3D-2.9%5Ccdot%2010%5E%7B-10%7D%20N)
where the negative sign simply means that the force is attractive, since the two ions have opposite charge.
Learn more about electrostatic force:
brainly.com/question/8960054
brainly.com/question/4273177
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Given :
Current, I = 3.75 A .
Magnetic Field, ![B = 2.61\times 10^{-4}\ T](https://tex.z-dn.net/?f=B%20%3D%202.61%5Ctimes%2010%5E%7B-4%7D%5C%20T)
To Find :
The distance from the wire.
Solution :
We know,
![B = K\dfrac{2i}{d}\\\\d = 10^{-7}\times \dfrac{2\times 3.75}{2.61\times 10^{-4}}\\\\d = 0.00287\ m \\\\d = 2.87\times 10^{-3}\ m](https://tex.z-dn.net/?f=B%20%3D%20K%5Cdfrac%7B2i%7D%7Bd%7D%5C%5C%5C%5Cd%20%3D%2010%5E%7B-7%7D%5Ctimes%20%5Cdfrac%7B2%5Ctimes%203.75%7D%7B2.61%5Ctimes%2010%5E%7B-4%7D%7D%5C%5C%5C%5Cd%20%3D%20%090.00287%5C%20m%20%5C%5C%5C%5Cd%20%3D%202.87%5Ctimes%2010%5E%7B-3%7D%5C%20m)
Hence, this is the required solution.
Answer:
Option 2
Explanation:
Weight of the box is being acted downwards due to gravity
However, based on Newton's third law (for every action (force) in nature there is an equal and opposite reaction), an equal force will act on the box by the table
The total charge transferred is
![Q=25 C](https://tex.z-dn.net/?f=Q%3D25%20C)
. This total charge consists of N electrons, each one with charge
![e=1.6 \cdot 10^{-19}C](https://tex.z-dn.net/?f=e%3D1.6%20%5Ccdot%2010%5E%7B-19%7DC)
. To find N, the number of electrons transferred, we must simply divide the total charge by the charge of a single electron: