The oscillating circuit consists of a coil with an inductance L = 4mH and a capacitor of strength C.

| February 10, 2021 | education

The oscillating circuit consists of a coil with an inductance L = 4mH and a capacitor of strength C. At some point in time, the current in the circuit is zero. if the minimum time interval after which the current strength becomes maximum is t = 0.3ms, then the capacitance of the capacitor is …

The oscillating circuit consists of a coil with inductance L = 4mH and
L = 4 mH = 4 * 10 ^ -3 H.
t = 0.3 ms = 0.3 * 10 ^ -3 s.
С – ?
Since t is the time during which the current strength changes from zero to its maximum value, it is 1/4 of the period T of full free oscillation in the circuit.
The oscillation period will be determined by the formula: T = 4 * t.
For an electric oscillatory circuit, the oscillation period T is determined by the formula: T = 2 * P * √ (L * C).
4 * t = 2 * P * √ (L * C).
16 * t ^ 2 = 4 * P ^ 2 * L * C.
C = 16 * t ^ 2/4 * P ^ 2 * L.
C = 16 * (0.3 * 10 ^ -3 s) ^ 2/4 * (3.14) ^ 2 * 4 * 10 ^ -3 Hn = 0.009 * 10 ^ -3 Ф = 9 * 10 ^ -6 F = 9 μF.
Answer: the capacitance of the capacitor is C = 9 μF.



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