Three parallel plate capacitors each with area A and separation d are filled with two dielectrics $(k_{1} and k_{2})$ in the following fashion. Which of the following is true $(k_{1} > k_{2})$ [2026]

Question

Smart Achievers · Accepted Answer

(1)

$For C_{A} :$

$(k_{1} > k_{2})$

$∴$ $C_{A} = \frac{K_{1} C}{2} + \frac{K_{1} K_{2} C}{K_{1} + K_{2}}$

$= K_{1} C [\frac{K_{1} + 2 K_{2}}{2 (K_{1} + K_{2})}]$

$For C_{B} :$

$C_{B} = \frac{K_{2} C}{2} + \frac{K_{1} K_{2} C}{K_{1} + K_{2}}$

$= K_{2} C [\frac{K_{1} + 2 K_{2}}{2 (K_{1} + K_{2})}]$

$For C_{C} :$

$C_{C} = \frac{2 K_{1} K_{2} C}{K_{1} + K_{2}}$

$C_{A} > C_{C} > C_{B}$

Solution

Q.
Three parallel plate capacitors each with area A and separation d are filled with two dielectrics $(k_{1} and k_{2})$ in the following fashion. Which of the following is true $(k_{1} > k_{2})$ [2026]

1 $C_{A} > C_{C} > C_{B}$

2 $C_{C} > C_{A} > C_{B}$

3 $C_{B} > C_{C} > C_{A}$

4 $C_{C} > C_{B} > C_{A}$

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Solution

Q. Three parallel plate capacitors each with area A and separation d are filled with two dielectrics (k1 and k2) in the following fashion. Which of the following is true (k1>k2) [2026]

1 CA>CC>CB

2 CC>CA>CB

3 CB>CC>CA

4 CC>CB>CA