1.

A slab of material of dielectric constant K hasthe same area as the plates of a parallel capacitor, but hasa thickness ((3)/(4) d), where d is the separation of the plates. How is the capacitancechangedwhen the slab is inserted between the plates

Answer»

Solution : ` V = E_o ((d)/(4))+(E_o)/(K)((3d)/(4)) = E_o d ((K+3)/(4K)) `
` V = V_o (( K + 3 )/(4K)) `
` C = (Q_o)/(V)= (4K)/(K + 3) (Q_o)/(V_o) = (4 K )/(K + 3 ) CO`


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