Physics · Electrostatic Potential and Capacitance
A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric whose dielectric constant varies as k(x) = k(1 + αx), where 'x' is the distance measured from one of the plates. If (αd ≤≤ 1), the total capacitance of the system is best given by the expression:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Akε0d [1 + αd]
- 2Aε0kd [1 + α2d2]
- 3Akε0d [1 + αd2]✓
- 4Aε0kd [1 + (αd2)2]
Correct answer
Akε0d [1 + αd2]
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