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  If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will

  • Option 1)

    Increase by 16 times

  • Option 2)

    Increase by 4 times

  • Option 3)

    Increase by 2 times

  • Option 4)

    Remain the same

 

Answers (2)

best_answer

As we have learned

If metallic slab insert between the plates -

\dpi{100} {C}'=\frac{\epsilon _{0}A}{d-t}

- wherein

 

 

    C= \frac{K\varepsilon _0A}{d}\propto \frac{K}{d} Hence, \frac{C_1}{C_2}=\frac{K_1}{K_2}\times \frac{d_2}{d_1}= \frac{K}{2K}\times \frac{d/2}{d}=1/4 Therefore, C_2= 4C_1


Option 1)

Increase by 16 times

Option 2)

Increase by 4 times

Option 3)

Increase by 2 times

Option 4)

Remain the same

Posted by

Plabita

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it decreases by 2times

Posted by

swesue

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