**Category:** Electromagnetism

**Subtype:** AC Circuits

**Problem Description:** This problem involves analyzing an AC circuit consisting of a capacitor \(C\), a resistor \(R\), and a box \(X\) that can be one of three components: a pure resistor, a capacitor, or an inductor. Given the effective voltage across the entire circuit and the effective voltages across two segments of the circuit, the task is to determine the nature of the component in the box \(X\). 

**Key Points:**
- The circuit is powered by an AC voltage source with an effective voltage of 130 V.
- The effective voltages across segments AM and MB are given as 50 V and 120 V, respectively.
- The goal is to identify whether the box \(X\) is a capacitor, a non-ideal inductor, a pure inductor, or a pure resistor based on the voltage values provided.