Final answer:
The resonant frequency of a resistor, capacitor, and inductor connected in series can be calculated using the formula fo = 1 / (2π√(LC)). The resonant frequency is approximately 86.11 Hz.
Step-by-step explanation:
The resonant frequency (fo) of a series circuit consisting of a resistor, capacitor, and inductor is given by the formula:
fo = 1 / (2π√(LC))
where L is the inductance in henries and C is the capacitance in farads.
Using the given values R = 170, L = 3.0 H, and C = 4.4 μF (which can be converted to farads as 4.4 x 10^-6 F), we can substitute these values into the formula to calculate the resonant frequency:
fo = 1 / (2π√((3.0)(4.4 x 10^-6)))
After simplifying the expression, the resonant frequency of the circuit is approximately 86.11 Hz.