Respuesta :
The charge on the sphere A and sphere B after they are separated is [tex]\boxed{ - 80\,{\text{nC}}}[/tex] each.
Further Explanation:
Given:
The number of electrons transferred to sphere [tex]A[/tex] is [tex]1.0 \times {10^{12}}[/tex].
Concept:
The amount of charge carried by the electrons when reaches the spheres kept in contact with each other is first distributed equally on each sphere. Later as the spheres are moved away from one another, the charge on each sphere remains the same as it was when they were in contact.
The amount of charge on one electron is [tex]- 1.6 \times {10^{ - 19}}\,{\text{C}}[/tex].
So, the amount of charge carried by the [tex]1.0 \times {10^{12}}[/tex] electrons is given as.
[tex]\begin{aligned}Q&= \left( {1.0 \times {{10}^{12}}} \right)\left( { - 1.6 \times {{10}^{ - 19}}} \right)\\&= - 1.6 \times {10^{ - 7}}\,{\text{C}}\\\end{aligned}[/tex]
Since the charge is disturbed equally on the two sphere, so the amount of charge carried by each sphere s half of the total charge.
[tex]\begin{aligned}{Q_A}&= \frac{{ - 1.6 \times {{10}^{ - 7}}}}{2}\\&= - 8 \times {10^{ - 8}}\,{\text{C}}\\ &= - 8{\text{0}}\,{\text{nC}}\\\end{aligned}[/tex]
Thus, the amount of the charge carried by each sphere after separating from each other is [tex]\boxed{ - 80\,{\text{nC}}}[/tex].
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Answer Details:
Grade: College
Chapter: Electrostatics
Subject: Physics
Keywords: Metal spheres, two identical, in contact, neutral, charged, electrons, charge on electron, charge on metallic sphere, charge of sphere A.
The charge on the sphere A and sphere B after they are separated is [tex]-80\mu C[/tex]each
What is Charge?
Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.
The amount of charge carried by the electrons when reaches the spheres kept in contact with each other is first distributed equally on each sphere. Later as the spheres are moved away from one another, the charge on each sphere remains the same as it was when they were in contact.
The amount of charge on one electron is [tex]-1.6\times 10^{-19} \ C[/tex]
So, the amount of charge carried by the electrons is given as.
[tex]Q=(1\times 10^{12})(-1.6\times 10^{-19})[/tex]
[tex]Q=-1.6\times 10^{-7}\ C[/tex]
Since the charge is disturbed equally on the two sphere, so the amount of charge carried by each sphere s half of the total charge.
[tex]Q_A=\dfrac{-1.6\times 10^{-7}}{2}[/tex]
[tex]Q_A=-8\times 10^{-8}\ C[/tex]
[tex]Q_A=-80\ \mu C[/tex]
Thus, the amount of the charge carried by each sphere after separating from each other is [tex]-80\mu C[/tex]
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