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As shown in Fig, a dielectric material ...

As shown in Fig, a dielectric material of dielectric constant K is inserted in half portion between plates of parallel plate capacitor. If its initial capacitance is C, what is the new capacitance ?

Text Solution

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The new arrangement is equivalent to two capacitors connected in parallel.
`C_(1) = (in_(0) A//2)/(d) C_(2) = (K in_(0) A//2)/(d)`
`C_(P) = C_(1) + C_(2) = (in_(0) A)/(2d) + (K in_(0) A)/(2d)`
`= (in_(0)A)/(2d) (K + 1) = (C )/(2) (K + 1)`
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