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Two copper balls each weighing 10g are kept in air 10cm apart.If on3 electron from every 10^6 atoms is transferred from one ball to another coullomb force between them is?
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Two copper balls each weighing 10g are kept in air 10cm apart.If on3 e...
Calculating Coulomb Force between Two Copper Balls


Given:


  • Weight of each copper ball = 10g

  • Distance between the balls = 10cm

  • One electron from every 10^6 atoms is transferred from one ball to another



Calculating Charge on Each Copper Ball

Since one electron from every 10^6 atoms is transferred from one ball to another, we can calculate the number of atoms in each ball:


Number of atoms in each ball = (Weight of each ball / Atomic weight of copper) x Avogadro's number

Number of atoms in each ball = (10g / 63.55g/mol) x 6.022 x 10^23

Number of atoms in each ball = 9.48 x 10^22


Now, we can calculate the total number of electrons transferred from one ball to another:

Number of electrons transferred = (Number of atoms in each ball / 10^6)

Number of electrons transferred = (9.48 x 10^22 / 10^6)

Number of electrons transferred = 9.48 x 10^16


Since one electron has a charge of -1.602 x 10^-19 C, the total charge on each ball can be calculated as:

Charge on each ball = (Number of electrons transferred) x (-1.602 x 10^-19 C)

Charge on each ball = (9.48 x 10^16) x (-1.602 x 10^-19 C)

Charge on each ball = -1.52 x 10^-2 C


Calculating Coulomb Force between Two Copper Balls

Using Coulomb's Law, we can calculate the force of attraction between the two charged copper balls:

Force = (Charge on ball 1 x Charge on ball 2) / (4πεr^2)


Where ε is the permittivity of air and r is the distance between the two balls.


Substituting the values, we get:

Force = ((-1.52 x 10^-2 C) x (-1.52 x 10^-2 C)) / (4π x 8.85 x 10^-12 C^2/Nm^2 x (0.1m)^2)

Force = 1.36 x 10^-8 N


Conclusion

The Coulomb force between the two copper balls is 1.36 x 10^-8 N.
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