Home of RF and Wireless Vendors and Resources

One Stop For Your RF and Wireless Need

Analogy between mechanical system and electrical system

This page compares analogy between mechanical system vs electrical system and mentions difference between mechanical system and electrical system.

Introduction: Two systems viz. mechanical and electrical are analogous when their differential equations are same. They are physically different to each other as shown in the figure.

Mechanical System

• The figure depicts mechanical system with block of mass ('m') and spring. Here 'B' is damping, 'K' is spring constant and 'X' is the displacement due to Force ('F').
• The second order differential equation of the system can be written as follows.
➨ F = M*d2x/dt2 + B*dx/dt + K*x ....Equation-(1)


Analogy between Mechanical System and Electrical System

Electrical System

• The figure depicts Series LCR electrical system.
• It consists of resistor (R), inductor (L) and capacitor (C) all connected in series.
• When input voltage (V) is applied across its terminal, current (i) flows through it.
• Applying kirchhoff voltage law to the loop we will get equation as follows.
• V = R*i + L*di/dt + (1/C)*∫i*dt
• Substituting (dq/dt) in place of "i" in above equation, we get differential equation of electrical system as follows.
➨ V = R*dq/dt + L * d2q/dt2 + q/C
➨ Rearranging we get, V = L * d2q/dt2 + R*dq/dt + q/C ....Equation-(2)

Difference between mechanical system and electrical system

Following table mentions difference between mechanical system and electrical system by comparing their analogies.

Mechanical system Electrical system
Force (F) Voltage (V)
Mass (M) Inductance (L)
Frictional Coefficient (B) Resistance (R)
Spring Constant (K) Reciprocal of Capacitance (1/C)
Displacement (x) Charge (q)
Velocity (v) Current (i)

Analogy between mechanical oscillator and electrical oscillator

Also refer Mechanical Oscillator vs Electrical Oscillator >> which mentions analogy between mechanical oscillator and electrical oscillator.


OCXO and other Crystal Oscillator types RELATED LINKS

OCXO basics and types
TCXO basics and types
Crystal Oscillator vs MEMS Oscillator
crystal oscillator manufacturers
crystal oscillator vs frequency synthesizer
OCXO vs VCXO vs TCXO vs DCXO
Vectron OCXO
Rakon TCXO
GPS Guided TCXO Oscillator



More RF Links

RF converter design
C band RF Transceiver basics
RF filter design
RF vector Signal generation/analysis
Microstrip line basics
RF and SoC Testing
rf connector
Rectangular Waveguide
RF Terminologies
what is RF
RF circulator basics

What is Difference between

PDH vs SDH  SONET versus SDH   CAS vs CCS  Types of WDM   Single vs multimode fiber  

RF and Wireless Terminologies


Share this page

Translate this page