Question

115-Ω resistor, a 0.250-μF capacitor, and a 410-mH inductor are connected in series to a generator whose voltage is 24.0 V. The current in the circuit is 0.130 A. Because of the shape of the current-frequency graph, there are two possible values for the frequency that corresponds to this current. What is the smaller of those two values?

Answer 1

To determine the smaller of the two possible values for the frequency corresponding to the given current, we can use the formula for the resonant frequency of an RLC circuit.

Step-by-step explanation:

The smaller of the two possible values for the frequency that corresponds to the given current can be determined by using the formula for the resonant frequency of an RLC circuit, which is given by:

f = 1 / (2π√(LC))

Here, L is the inductance (410 mH) and C is the capacitance (0.250 μF). Plugging in these values, we can calculate the resonant frequency.