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Question

Two dielectric slabs of constant K1 and K2 have been filled in between the plates of a capacitance as shown. What will be the capacitance of the capacitor?
1100852_524bf357e19b4c3bb2b8b24131c6893f.png

A
ε0Ad(K1+K2)
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B
2ε0Ad(K1+K2K1×K2)
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C
d2ε0A
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D
2ε0Ad(K1×K2K1+K2)
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Solution

The correct option is A ε0Ad(K1+K2)
capacitance with dielectrics has been introduced capacitors

C=kε0Ad

C=C1+C2

= ε0(A/2)K1d+ε0(A/2)K2d

= ε0A(K1+K2)d

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