A parallel plate capacitor has a plate area of 0.2 square metre and a plate separation of 0.1mm. If the charge on each plate has a magnitude of 4 microC, the potential difference across the plates is app
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A parallel-plate capacitor has a plate area of 0.2 m^2 and a plate separation of 0.1 mm. To obtain an electric field of 2.0 x 10^6 V/m between the plates, what is the magnitude of the charge on each plate?
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The voltage across the capacitor terminals is
V = E . d
where E is the electric field, and d the distance between the plates.
So,
V = 2 . 10^6 . V/m . 0.1 . 10^(-3) m = 2 . 10^2 V = 200 V
Capacitor charge is, by definition
q = C . V
where C is the capacitance
Capacitance is given by
C = epsilon A / d
where epsilon is the permittivity, A is the plate area
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