An electrical circuit consists of two capacitors and one inductor. How many state variables are required to describe this system?

Correct option is C

​$$\text{In a dynamic electrical system, the number of state variables equals the number of independent energy storage elements.} \\[8pt]\bullet \ \text{Each capacitor contributes one state variable (its voltage).} \\[4pt]\bullet \ \text{Each inductor contributes one state variable (its current).} \\[8pt]\text{Given:} \\[6pt]\bullet \ 2 \text{ capacitors } \rightarrow 2 \text{ state variables} \\[2pt]\bullet \ 1 \text{ inductor } \rightarrow 1 \text{ state variable} \\[10pt]\text{Total state variables } = 2 + 1 = 3$$​​