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  • Can someone explain - A Parallel plate capacitor is of areaand separation 3mm. The gap is filled with three dielectric m - Electrostatics - JEE Main

A Parallel plate capacitor is of area 6 cm^{2} and separation 3mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constants K_{1}= 10, K_{2}=12 and . The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would 

be:

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

Answers (1)

best_answer

 

If K filled between the plates -

{C}'=K\frac{\epsilon _{0}A}{d}={C}'=Ck

 

 

- wherein

C\propto A

C\propto\frac{1}{d}

 

\Rightarrow C_{ea}=C_{1}+C_{2}+C_{3}\\\\\\\Rightarrow \frac{KE_{0}A}{d}=\frac{10E_{0}(A/3)}{d} +\frac{12E_{0}(A/3)}{d}+\frac{14E_{0}(A/3)}{d}\\\\\Rightarrow K=12

 


Option 1)

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Option 4)

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