Answer:
This is greater than the initial charge, which violates the principle that the charge cannot be created or destroyed, consequently this distribution is impossible to achieve
Explanation:
The metals distribute the charge on all surface when they touch the surface increases so that charge density decreases and when the charge is separated into smaller in each metal.
Let's apply this principle to our case.
One of the spheres is loaded with a charge q, when touching a ball its charge is reduced to 1 / 2q for each ball.
qA = ½ q
qB = ½ q
qC = 0
The total charge is q
we make a second contact
If we touch the ball A again with the other sphere not charged C, the chare is distributed and when separated it is reduced by half
qA = 1/2 (q / 2) = ¼ q
qC = ¼ q
qB = ½ q
At this point all spheres have a charge,
qA = ¼ q
qb = ½ q
qC = ¼ q
The total charge is q
Now let's contact spheres B and one of the other two
Q = ½ q + ¼ q = ¾ q
When splitting the charge
qB = ½ ¾ q = 3/8 q
qC = ½ ¾ q = 3/8 q
qA = ¼ q
The total charge is q
Note that the total load is always equal to q
Now let's analyze the given configuration
Let's look for the total load
Q = qA + QB + QC
Q = ½ q + 3/8 q + ¼ q
Q = 9/8 q
This is greater than the initial charge, which violates the principle that the charge cannot be created or destroyed, consequently this distribution is impossible to achieve
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