Write an expression for the charge stored on one plate of a parallel plate capacitor in terms of the potential difference between the plates, their common area, the distance between them and the permittivity of the dielectric. - Leaving Cert Physics - Question f - 2015
Question f
Write an expression for the charge stored on one plate of a parallel plate capacitor in terms of the potential difference between the plates, their common area, the ... show full transcript
Worked Solution & Example Answer:Write an expression for the charge stored on one plate of a parallel plate capacitor in terms of the potential difference between the plates, their common area, the distance between them and the permittivity of the dielectric. - Leaving Cert Physics - Question f - 2015
Step 1
Write an expression for the capacitance
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Answer
The capacitance (C) of a parallel plate capacitor can be expressed in terms of the permittivity (
( \varepsilon )) of the dielectric material, the area (A) of the plates, and the distance (d) between them as follows:
C=dεA
Step 2
Relate charge to capacitance and voltage
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Answer
The charge (Q) stored on one plate of the capacitor is related to capacitance and the potential difference (V) between the plates by the formula:
Q=C⋅V
Step 3
Substitute capacitance expression
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Answer
By substituting the expression for capacitance into the charge equation, we get:
Q=dεA⋅V
Thus, the final expression for the charge stored on one plate of the capacitor is:
Q=dεAV
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