JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
Three parallel plate capacitors each with area A and separation d are filled with two dielectric ( \(k _1\) and \(k _2\) ) in the following fashion. Which of the following is true? \(\left( k _1> k _2\right)\)
- A \(C_{B}>C_{C}>C_{A}\)
- B \(C_{C}>C_{B}>C_{A}\)
- C \(C_{C}>C_{A}>C_{B}\)
- D \(C_{A}>C_{C}>C_{B}\)
Answer & Solution
Correct Answer
(D) \(C_{A}>C_{C}>C_{B}\)
Step-by-step Solution
Detailed explanation
For \(C_A\) : Let \(\frac{\varepsilon_0 A}{ d }= C\) \(\therefore \quad C _{ A }=\frac{ K _1 C }{2}+\frac{ K _1 K_2 C }{ K _1+ K _2}\) \(= K _1 C \left[\frac{ K _1+2 K_2}{2\left(K_1+ K _2\right)}\right]\) For \(C _{ B }\) :…
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