$A$ parallel plate capacitor has plates of area $A$ and a separation distance of $100 \ mm$. It contains two dielectric layers: one with a dielectric constant of $10$ and a thickness of $6 \ mm$,and another with a dielectric constant of $5$ and a thickness of $4 \ mm$. Find 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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