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The tank circuit of a Hartley oscillator is shown in the figure. If M is the mutual inductance between the inductors, the oscillation frequency is
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A. $$\frac{1}{{2\pi \sqrt {\left( {{L_1} + {L_2} + 2M} \right)C} }}$$

B. $$\frac{1}{{2\pi \sqrt {\left( {{L_1} + {L_2} - 2M} \right)C} }}$$

C. $$\frac{1}{{2\pi \sqrt {\left( {{L_1} + {L_2} + M} \right)C} }}$$

D. $$\frac{1}{{2\pi \sqrt {\left( {{L_1} + {L_2} - M} \right)C} }}$$

Answer: Option A


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