How will the period of free electrical oscillations in the circuit change if the capacitance of the capacitor
| August 5, 2021 | education
How will the period of free electrical oscillations in the circuit change if the capacitance of the capacitor in it is doubled 5 times?
The period T of free electromagnetic oscillations is determined by the Thomson formula: T = 2 * п * √ (L * C), where L is the inductance of the coil, C is the capacitance of the capacitor.
C1 = 5 ^ 2 * C.
T1 / T -?
T = 2 * п * √ (L * C).
T1 = 2 * п * √ (L * C1) = 2 * п * √ (L * 5 ^ 2 * C) = 5 * 2 * п * √ (L * C).
T1 / T = 5.
Answer: the period will increase 5 times: T1 / T = 5.
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