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A coil is tes...

Question

A coil is tested with a series type Q-meter, Resonance at a particular frequency is obtained with a capacitance of 110 pF. When the frequency is doubled, the capacitance required for resonance is 20 pF. The distributed capacitance of the coil in Pico farad is
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Solution

The correct option is A 10
$C_{1} = 110 p F,$

$C_{2} = 20 p F$

$n = \frac{f_{2}}{f_{1}} = \frac{2 f}{f} = 2$

$C_{d} = \frac{C_{1} - n^{2} C_{2}}{n^{2} - 1} = \frac{110 - 4 \times 20}{3}$

= 10 pF

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