A parallel palate capacitor with square plates is filled with four dielectrics of dielectric constants $K_1, K_2, K_3, K_4$ arranged as shown in the figure. The effective dielectric constant $K$ will be
A parallel palate capacitor with square plates is filled with four dielectrics of dielectric constants $K_1, K_2, K_3, K_4$ arranged as shown in the figure. The effective dielectric constant $K$ will be
- [JEE MAIN 2019]
- A
$K = \frac{{({K_1} + {K_3})({K_2} + {K_4})}}{{{K_1} + {K_2} + {K_3} + {K_4}}}$
- B
$K = \frac{{({K_1} + {K_2})({K_3} + {K_4})}}{{2({K_1} + {K_2} + {K_3} + {K_4})}}$
- C
$K = \frac{{({K_1} + {K_2})({K_3} + {K_4})}}{{{K_1} + {K_2} + {K_3} + {K_4}}}$
- D
$K = \frac{{({K_1} + {K_4})({K_2} + {K_3})}}{{2({K_1} + {K_2} + {K_3} + {K_4})}}$
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- [AIEEE 2007]