In a series $LC$ circuit, which of the following statements about the electric current is correct?

• A. The current only flows through the capacitor.
• B. The current is different at different points in the circuit.
• C. The current is the same at all points in the circuit.
• D. The current is zero everywhere in the circuit.

Answer: (C)

Verified step by step guidance

1. Recall that in a series LC circuit, the components (inductor and capacitor) are connected end-to-end, forming a single path for current flow.
2. Understand that in any series circuit, the current is the same at every point because there is only one path for the charge to flow; charge cannot accumulate at any point.
3. Recognize that while the voltage across the inductor and capacitor may vary, the current through both components must be identical at any instant in time.
4. Note that the current does not only flow through the capacitor; it flows through the entire series circuit, including the inductor and capacitor.
5. Conclude that the correct statement is: the current is the same at all points in the circuit.