Introduction:
In electrical engineering, the force-voltage analogy is a method used to analyze electrical circuits by drawing an analogy between electrical quantities and mechanical quantities. This analogy helps in understanding the behavior of electrical circuits by relating them to more familiar mechanical systems. In this analogy, mass, which represents inertia in mechanical systems, is analogous to certain electrical quantities.

Analogy between Electrical and Mechanical Systems:
The force-voltage analogy draws similarities between electrical quantities and mechanical quantities as shown below:

- Force (F) is analogous to Voltage (V)
- Velocity (v) is analogous to Current (I)
- Mass (m) is analogous to Inductance (L)
- Damping (b) is analogous to Resistance (R)

Explanation of the Analogy:
The analogy between mass and inductance can be understood by considering their respective roles in their corresponding systems.

1. Mass in Mechanical Systems:
In mechanical systems, mass represents inertia and resists changes in velocity. It stores kinetic energy and opposes changes in motion. The greater the mass, the more force is required to accelerate or decelerate the object.

2. Inductance in Electrical Systems:
Similarly, in electrical systems, inductance represents inertia and resists changes in current. It stores magnetic energy and opposes changes in current flow. The greater the inductance, the more voltage is required to change the current.

Key Points:
- Mass resists changes in velocity in mechanical systems.
- Inductance resists changes in current in electrical systems.
- Both mass and inductance store energy.
- Both oppose changes in their respective quantities.

Analogy Justification:
Since both mass and inductance have similar roles in their respective systems, they are analogous in the force-voltage analogy. The analogy helps in understanding the behavior of inductors in electrical circuits by relating them to masses in mechanical systems.

Conclusion:
In the force-voltage analogy, mass is analogous to inductance. Both represent inertia, store energy, and resist changes in their respective quantities. This analogy is a useful tool in electrical engineering to analyze and understand the behavior of electrical circuits by drawing parallels with mechanical systems.