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Explain what would happen if in the capa...

Explain what would happen if in the capacitor given in Exercise 8,a 3mm thick mica sheet (of dielectric constant =6) were inserted between the plates.
(a) While the voltage supply remained connected.
(b) after the supply was disconnected.

Text Solution

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(a) While the voltage supply remains connected and a dielectric slab is inserted between the plates a capacitor, the potential difference across the plates of the given capacitor remains same, i.e equal to supply voltage (V = 100V). However, capacitance and charge on the capacitor increases by K times.
`C.=KC=6xx18xx10^(-12)=108pF`
`Q.=C.V=KCV`
`=6xx18xx10^(-12)xx100=1.08xx10^(8)C`
(b) When the dielectric slab is inserted between the plates after the voltage supply is disconnected the charge on capacitor remains same and the potential difference across the plates and capacitance of the given capacitor changes as:
`V.=(V)/(K)=(100)/(6)=16.6V`
`C.=KC=6xx18xx10^(-12)=108pF`
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