Capacitor Disconnected from Battery, changing distance

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SUMMARY

A parallel-plate capacitor, once disconnected from the battery, retains its charge when the plates are moved closer together. The charge on each plate remains constant because the disconnection prevents any flow of charge. The confusion arises from the relationship defined by the equation Q = CV, where C is the capacitance and V is the voltage. In this scenario, since the capacitor is isolated, the charge does not increase despite the change in distance between the plates.

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1.A parallel-plate capacitor is fully charged and then disconnected from the battery. The plates
are then moved closer together, how does the charge on the plate change


it needs to be stated whether the charge on each plate increases, decreses or stays the same


Homework Equations


C=Q/V, C=epsilon_0 * A/d



The Attempt at a Solution


when the capacitor is disconnected, the charges cannot flow. So each one should stay the same, right? The solution for this exam problem that was on last years final says that it should increase. This doesn't make sense to me. Is the solution wrong, or am I wrong?
 
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jeffc313 said:
1.A parallel-plate capacitor is fully charged and then disconnected from the battery. The plates
are then moved closer together, how does the charge on the plate change


it needs to be stated whether the charge on each plate increases, decreses or stays the same


Homework Equations


C=Q/V, C=epsilon_0 * A/d



The Attempt at a Solution


when the capacitor is disconnected, the charges cannot flow. So each one should stay the same, right? The solution for this exam problem that was on last years final says that it should increase. This doesn't make sense to me. Is the solution wrong, or am I wrong?
Welcome to Physics Forums.

I'm pretty certain you are correct, for exactly the reason you give.

Q = CV, so the charge would increase if the capacitor remained connected to the battery (V=constant, and C increases).

It sounds like the professor got confused about what the question was asking.
 

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