The resonant frequency of a series AC circuit consisting of a 200 μH inductor, a 0.0005 μF capacitor and a 10 Ω resistance is
Question
The resonant frequency of a series AC circuit consisting of a 200 μH inductor, a 0.0005 μF capacitor and a 10 Ω resistance is
Solution
The resonant frequency (f) of a series AC circuit can be calculated using the formula:
f = 1 / (2π√(LC))
where L is the inductance and C is the capacitance.
Given that L = 200 μH = 200 x 10^-6 H and C = 0.0005 μF = 0.0005 x 10^-6 F,
we can substitute these values into the formula:
f = 1 / (2π√((200 x 10^-6 H) * (0.0005 x 10^-6 F)))
Solving this equation will give us the resonant frequency of the circuit.
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