JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
A parallel plate air capacitor has a capacitance \(C\). When it is half filled as show in figure with a dielectric constant \(K = 5\), the percentage increase in the capacitance is _______.
- A \(33.34\)
- B \(66.67\)
- C \(200\)
- D \(400\)
Answer & Solution
Correct Answer
(B) \(66.67\)
Step-by-step Solution
Detailed explanation
Initial capacitance of the air capacitor is given by: \(C = \dfrac{\epsilon_0 A}{d}\) When the capacitor is half-filled with a dielectric of thickness \(d/2\), it can be considered as two capacitors connected in series. Capacitance of the dielectric-filled part:…
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