Question

Consider a series RLC circuit where R = 651 Ω and C = 6.25 μF. However,...

Consider a series RLC circuit where R = 651 Ω and C = 6.25 μF. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 72.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 39700 s–1. What is the inductance of the inductor in millihenrys?

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Answer #1

The resonance angular frequency of the RLC circuit is

Here, inductance of the inductor is L and capacitance of the capacitor is C.

Squaring the above equation and rearranging,

Substitute 39700 s-1 for and 6.25 F for C in the above equation,

Therefore, the inductance of the inductor is 0.102 millihenry or mH.

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