Find the capacitance between A and B if two dielectric alabs (each of area `A`) of dielectric constants `K_(1)` and `K_(2)` and thicknesses `d_(1)` and `d_(2)` are inserted between the plates of a parallel plate capacitor of plate area `A`.
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Explanation

` C=(sigma A)/( V) `
` V= E_1 d_1+ E_2 d_2 =(sigma d_1)/( K_1in _0) +(sigma d_2)/( K_2in _0) =(sigma )/( in _0) ((d_1)/(k_1) +(d_2)/(k_2))`
` therefore " "C= ( Ain _0)/((d_1)/(K_t)+((d_2)/(K_2))`
` rArr " "(1)/(c ) = (d_1)/(AK_1in _0) +(d_2)/( AK_2in _0) `
` (##MOT_CON_JEE_PHY_C25_SLV_047_S01##) `
This formula suggests that the system between A and B can be considered as series combination of two capacitors.