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Kaylaonfleek0956
17.09.2019 •
Physics
Students in an introductory physics lab are performing an experiment with a parallel-plate capacitor made of two circular aluminum plates, each 19 cm in diameter, separated by 1.0 cm.how much charge can be added to each of the plates before a spark jumps between the two plates? for such flat electrodes, assume that value of 3×106n/c of the field causes a spark. express your answer with the appropriate units.
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Ответ:
Explanation:
The capacitance of a parallel-plate capacitor is given by
where
is the vacuum permittivity, A is the surface area of the plates, d their separation.
We also know the following relationship
where Q is the charge stored on the capacitor and V the potential difference between the plates.
Combining the two equations,
We also know that for a uniform electric field (such as the one between the plates of a parallel-plate capacitor), we have
where E is the magnitude of the electric field. Substituting into the previous equation and re-arranging it,
For the capacitor in the problem:
Solving for Q, we find the maximum charge that can be added before that occurs:
Ответ: