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Q.

A slab of material of dielectric constant K = 5 has the same area as the plates of a parallel plate capacitor but has a thickness 34d , [Where d is the separation between the plates] is inserted between the plates, then the capacitance of the capacitor becomes xc02 (c0 = capacitance without di-electric). Find x ?

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answer is 5.

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Detailed Solution

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C=0Adt(11K)          =0Ad3d4(115)        =0Ad3d4(45)       =0A2d5         =50A2d       =5c02

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A slab of material of dielectric constant K = 5 has the same area as the plates of a parallel plate capacitor but has a thickness 34d , [Where d is the separation between the plates] is inserted between the plates, then the capacitance of the capacitor becomes xc02 (c0 = capacitance without di-electric). Find x ?