Introduction:
The force-voltage analogy is a powerful tool used in electrical engineering to analyze and design electrical circuits. It establishes an analogy between mechanical systems and electrical circuits, where force is analogous to voltage, and velocity is analogous to current.

Analogy between mechanical and electrical systems:
To understand why velocity is analogous to current in the force-voltage analogy, let's consider the analogy between mechanical and electrical systems.

In mechanical systems, force is the driving factor that causes motion, and velocity is the rate of change of displacement with respect to time. Similarly, in electrical systems, voltage is the driving factor that causes current flow, and current is the rate of flow of electric charge with respect to time.

Explanation:
To explain why velocity is analogous to current in the force-voltage analogy, let's consider the equation that relates force, velocity, and mass in a mechanical system:

Force = mass × acceleration

Similarly, in an electrical system, we have Ohm's law that relates voltage, current, and resistance:

Voltage = current × resistance

Comparing these two equations, we can establish an analogy between the variables:

- Force is analogous to voltage (both are the driving factors)
- Mass is analogous to resistance (both oppose the flow)
- Acceleration is analogous to current (both represent the rate of change)

Therefore, in the force-voltage analogy, velocity is analogous to current because they both represent the rate of change of a quantity. Just as velocity is the rate of change of displacement, current is the rate of flow of electric charge.

Conclusion:
In the force-voltage analogy used in electrical engineering, velocity is analogous to current. This analogy establishes a relationship between mechanical systems and electrical circuits, where force is analogous to voltage and velocity is analogous to current. Understanding this analogy helps in analyzing and designing electrical circuits by leveraging the principles and techniques used in mechanical systems.