The cyclic frequency of oscillations arising in the oscillatory circuit is 10 ^ 6 Hz.
| April 25, 2021 | education
The cyclic frequency of oscillations arising in the oscillatory circuit is 10 ^ 6 Hz. Determine the inductance of the coil if the capacitance is 1 μF.
To find the value of the inductance of the coil taken, we will use the formula: ω = 1 / √ (L * C), whence L * C = (1 / ω) ^ 2 and L = 1 / (ω ^ 2 * C).
Values of variables: ω – cyclic frequency of the arising oscillations (ω = 10 ^ 6 Hz); C is the capacitance of the capacitor (C = 1 μF = 1 * 10 ^ -6 F).
Calculation: L = 1 / (ω ^ 2 * C) = 1 / ((10 ^ 6) ^ 2 * 1 * 10 ^ -6) = 1 * 10 ^ -6 H = 1 μH.
Answer: The inductance of the coil taken in the circuit is 1 μH.
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