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Answer :
Final answer:
The resonant frequency for a series RLC circuit with given L and C values can be calculated using the formula: f_r = 1 / (2π√(LC)). Using the provided values, the resonant frequency of the series RLC circuit is approximately 159.15 kHz.
Explanation:
In this physics problem, we're asked to find the resonant frequency for a series RLC circuit. The resonant frequency (f_r) for a series RLC circuit is given by the formula:
f_r = 1 / (2π√(LC))
Where L is the inductance and C is the capacitance. Plugging our given values in, our L is 2.00 mH (or 0.002 H) and our C is 5.00 μF (or 0.000005 F). So, calculation results in:
f_r = 1 / (2π√(0.002*0.000005)) ≈ 159.15 kHz
So, the resonant frequency of the series RLC circuit is approximately 159.15 kHz.
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