Question
Download Solution PDFWhich one of the following does NOT affect the value of the capacitance of a parallel plate capacitor?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct option is 2
Concept:
Parallel Plate Capacitor:
Consider a parallel plate capacitor consisting of two plates, each of area A square meters and separated by a uniform dielectric of thickness d meters and relative permittivity εr as shown in Fig.
Let a potential difference of V volts applied between the plates place a charge of + q and − q on the plates
Electric flux density (D) between plates is,
D = q / A coulombs/m2 ....(1)
The electric intensity (E) between plates is,
E = V / d volt/m ....(2)
We know that,
D = ε0εrE
Where ε0 is absolute permittivity which is equal to 8.85 x 10-12 F/m
D = kE ....(3)
From equation (1), (2), and (3),
\(\frac{q}{A} = k\frac{V}{d}\)
\(\frac{q}{V} = \frac{{kA}}{d}\)
The Q / V ratio is the capacitance of the capacitor,
\(C = \frac{{kA}}{d}\)
Hence it is independent of voltage
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