Let the characteristics of each part of the double-layer dielectric be $C_{1}$, $\tan\delta_1$, $C_{2}$, and $\tan\delta_2$. What is the $\tan\delta$ of the double-layer dielectric?

Options:
A. $$
\tan\delta=\frac{\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{1}+\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{2}}{\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{1}\tan\delta_{2}+\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega} C_{2}\tan\delta_{1}}
$$
B. $$
\tan\delta=\frac{\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{2}+\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{1}}{\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{2}\tan\delta_{2}+\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{2})^{2}\big]_{\omega} C_{1}\tan\delta_{1}}
$$
C. $$
\tan\delta=\frac{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{1}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{2}}{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{1}\tan\delta_{1}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega} C_{2}\tan\delta_{2}}
$$
D. $$
\tan\delta=\frac{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{1}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega}C_{2}}{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{1}\tan\delta_{2}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega} C_{2}\tan\delta_{1}}
$$
E. $$
\tan\delta=\frac{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{2}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega}C_{1}}{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{2}\tan\delta_{2}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega} C_{1}\tan\delta_{1}}
$$
F. $$
\tan\delta=\frac{\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{1}+\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{2}}{\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{1}\tan\delta_{2}+\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega} C_{2}\tan\delta_{1}}
$$
G. $$
\tan\delta=\frac{\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega}C_{1}+\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{2}}{\big[(\omega C_{1}\tan\delta_{2})^{2}+(\omega C_{2})^{3}\big]_{\omega}C_{1}\tan\delta_{1}+\big[(\omega C_{2}\tan\delta_{1})^{2}+(\omega C_{1})^{3}\big]_{\omega} C_{2}\tan\delta_{2}}
$$
H. $$
\tan\delta=\frac{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{2}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{1}}{\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{2}\tan\delta_{2}+\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{2}\big]_{\omega} C_{1}\tan\delta_{1}}
$$
I. $$
\tan\delta=\frac{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{2}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{3}\big]_{\omega}C_{1}}{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{1})^{3}\big]_{\omega}C_{2}\tan\delta_{1}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{2})^{3}\big]_{\omega} C_{1}\tan\delta_{2}}
$$
J. $$
\tan\delta=\frac{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{1}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{2}\big]_{\omega}C_{2}}{\big[(\omega C_{2}\tan\delta_{2})^{2}+(\omega C_{2})^{2}\big]_{\omega}C_{1}\tan\delta_{1}+\big[(\omega C_{1}\tan\delta_{1})^{2}+(\omega C_{1})^{2}\big]_{\omega} C_{2}\tan\delta_{2}}
$$
Answer: J