Determine the value of the inductor if the following graphs illustrate the voltage across the inductor and the current flowing through it.

A circuit contains an inductor, L = 125.0 mH, a resistor, R = 225.0 Ω, and a capacitor, C = 400.0 µF connected in series to a time-varying power source having a peak value of 12.0 V and an angular frequency of 450.0 rad/s. Determine the impedance (Z) of the LRC circuit.

A speaker in a home audio system represented as a series RLC circuit with a 30 Ω resistor, 0.4 H inductor, and 50 μF capacitor, is driven by an 80 Hz, 60V RMS amplifier. Determine the peak current flowing through the speaker.

Derive the power factor expression for a series RLC circuit.

A series RLC circuit is tuned using a 0.500 µH inductor. The oscillation frequency of the circuit is the same as that of a 107.9 MHz radio wave. Determine the capacitance of the capacitor in the circuit. 

If the resistance in a series RLC circuit, which currently resonates at a frequency of 315 kHz, is halved, what would be the resultant resonance frequency?

Suppose the value of the capacitor is halved and the inductor's value is doubled simultaneously in a series RLC circuit currently resonating at 318 kHz, what would be the resultant resonance frequency?

Consider the circuit illustrated below, where a combination of a resistor (R), an inductor (L), and two capacitors (C ₁ and C ₂) is connected to an AC power source as shown. Determine the resonance frequency of the circuit in both radians per second and hertz.

When the root mean square (rms) voltage of the electromotive force is 15 V, a resistor dissipates 4.0 W of power. What should be the rms voltage of the electromotive force for the resistor to dissipate 12 W of power?

In a series RC circuit consisting of a 140 Ω resistor and a 42 μF capacitor, the input comes from a rotary converter. This rotary converter operates with a square coil, 16 cm on each side, carrying 612 turns of wire. The rotary converter is subjected to a 38 mT uniform magnetic field and functions at a frequency of 50 Hz. Determine the average power supplied to the RC circuit.

A student connects a 100.0 Ω resistor, an inductor L, and a capacitor C, in series across an ac generator of V_rms = 45.0 V. The generator is operating at 150.0 Hz. The circuit's impedance at 150.0 Hz is 125.0 Ω. Calculate the average power transferred to the circuit.