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joemok
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Homework Statement
A is an earthed metal plate while B is a positively charged metal plate parallel to A. The separation between the plates is much less than the length of each plate. If A is moved closer to B, what would happen to the electric potential of B and the electric field strength between the plates?
Homework Equations
I haven't pick the quick capacitor equations as i think there are differences and the equations:
1.E= V/d, are not practical here as both V and d decreases.
2.V = Q/C, i doubt if Q change
At last, I use E= Q/(AK), where K is the permitivity
The Attempt at a Solution
1. As A which is negatively charged moves closer to B, it solely establish a more negative potential at B and the resultant of the potential decreases.
2.On the other hand, the voltage of A should increase as it is closer to B, but as A is earthed, there are some negative charges flow into A to make it 0V, i.e. unchanged.
Applying E = Q/(AK) we know the E field produced by A increases and that of B is constant as charge on B is constant.
i.e. E resultant increases
My teacher told me to treat it like a capacitor and as the capacitor is on a open circuit, there must not be changes on Q, i.e. (Q1-Q2)/2. As a result of V=Q/C decreases and E=Q/(AK) remains unchanged.
Here comes my actual questions:
1. Is there really no charge flow even when one plate is earthed?
2. what is wrong with my approach?
Note:
1.the model answer: V decreases, E constant.
2. My teacher also told me to think in another way, the earthed A plate is just to make the potential reference constant. and we can see both plates isolated, in this case V can be seem as the potential difference of the plates.
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