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Standard XII
Physics
Effects of Dielectrics in Capacitors
Question

A parallel plate capacitor of plate separation d and plate area A is charged to a potential difference V and then the battery is disconnected. To fulfill the space between the plates of capacitor, a slab of dielectric constant K is inserted. If the magnitude of the charge on each plate, electric field between the plates(after the slab is inserted) and work done on the system in the process of insertion of a slab are Q, E, W respectively, then?

A
All of the above
B
$$W=\varepsilon_0\dfrac{AV^2}{2d}\left(1-\dfrac{1}{K}\right)$$
C
$$E=\dfrac{V}{Kd}$$
D
$$Q=\varepsilon_0\dfrac{AV}{d}$$
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Solution
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Correct option is D. All of the above

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