Discussion
Match the entries in Group I (Mechanical system) with analogous quantities in Group II (Electrical system)
| Group I | Group II |
|---|---|
| P) Mass | 1) Current |
| Q) Spring constant | 2) Voltage |
| R) Displacement | 3) Reciprocal capacitance |
| S) Velocity | 4) Charge |
| 5) Inductance |
Answer: D
The correct match is P-5, Q-3, R-4, S-1.
This is the force-voltage analogy, where the mechanical equation \(m\ddot{x} + b\dot{x} + kx = F\) is matched term by term with the series circuit equation \(L\ddot{q} + R\dot{q} + \frac{q}{C} = V\):
- mass \(m\) corresponds to inductance \(L\);
- spring constant \(k\) corresponds to reciprocal capacitance \(\frac{1}{C}\);
- displacement \(x\) corresponds to charge \(q\);
- velocity \(\dot{x}\) corresponds to current \(\dot{q}\).
The options with S-2 pair velocity with voltage; voltage corresponds to force. The options with P-3, Q-5 swap mass and spring constant.
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