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A coil is tested with a series type Q-meter. Resonance at a particular frequency is obtained with a capacitance of $\text{110 pF}$. When the frequency is doubled, the capacitance required for resonance is $\text{20 pF}$. The distributed capacitance of the coil in $\text{pico farad}$ is $\_\_\_\_\_\_\_\_$.
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