$A$ parallel plate capacitor has plates of area $A$ and a separation of $10 \, mm$. Two dielectric sheets are placed between the plates with dielectric constants $k_1 = 10$ and $k_2 = 5$,and thicknesses $t_1 = 6 \, mm$ and $t_2 = 4 \, mm$ respectively. Calculate the capacitance of the capacitor.
- A$\frac{12}{35} \varepsilon_0 A$
- B$\frac{2}{3} \varepsilon_0 A$
- C$\frac{5000}{7} \varepsilon_0 A$
- D$1500 \varepsilon_0 A$
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