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Effects of Dielectrics in Capacitors

Question

A dielectric slab fills the lower half region of parallel-plate capacitor as shown in Fig. [Take plate area as A]

A

The net charge of lower half of the left hand plate is $$1/K$$ times the charge on upper half of the plate

B

Equivalent capacity of the system is $$\dfrac{\varepsilon_0A}{2d}(1+K)$$

C

Net charges on lower and upper halves of left hand plate are different

D

Net charge on lower half of left hand plate is $$\dfrac{K\varepsilon_0A}{2d}\times V$$

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Solution

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Correct option is D. Net charge on lower half of left hand plate is $$\dfrac{K\varepsilon_0A}{2d}\times V$$

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