The cyclic frequency of free electromagnetic oscillations in the oscillatory circuit is w = 1.0 * 10 to the 6th power of rad / s.
| March 5, 2021 | education
The cyclic frequency of free electromagnetic oscillations in the oscillatory circuit is w = 1.0 * 10 to the 6th power of rad / s. Determine the inductance of the coil if the capacitance of the capacitor is C = 25pF.
To determine the value of the inductance of the coil from the used oscillatory circuit, we use the formula: ω = 1 / √ (L * C); L * C = (1 / ω) ^ 2 and L = 1 / (ω ^ 2 * C).
Variables: ω – cyclic frequency of the arisen free oscillations (ω = 1 * 10 ^ 6 Hz); C is the capacitance of the circuit capacitor (C = 25 pF = 25 * 10 ^ -12 F).
Calculation: L = 1 / (ω2 * C) = 1 / ((1 * 10 ^ 6) 2 * 25 * 10 ^ -12) = 0.04 H = 40 mH.
Answer: The coil in the used oscillatory circuit has an inductance of 40 mH.
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