A circuit contains two elements, but it is not known if they are L, R, or C. The current in this circuit when connected to a 120-V rms 60.0-Hz source is 5.6 A and lags the voltage by 55°. What are the two elements and what are their values?

Verified step by step guidance

1. Identify the type of elements based on the phase difference: Since the current lags the voltage by 55°, the circuit must contain an inductor (L) and possibly a resistor (R) or another inductor, as capacitors (C) would cause the current to lead the voltage.
2. Calculate the impedance of the circuit using the formula $Z = \frac{V}{I}$, where $V$ is the rms voltage and $I$ is the rms current. This will give the magnitude of the total impedance.
3. Determine the phase angle of the impedance, which is given as 55°. Use this to find the components of the impedance in the complex plane. The real part corresponds to the resistance (R) and the imaginary part corresponds to the reactance (X), which can be either inductive or capacitive.
4. Use the relationship $X_L = \omega L$ for inductive reactance, where $\omega = 2\pi f$ and $f$ is the frequency, to calculate the value of the inductor (L).
5. If there is a resistor, calculate its value using the real part of the impedance. If the imaginary part of the impedance corresponds to another inductor, calculate its value using the same formula for inductive reactance.