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Tuesday, September 6, 2022

Basic Concepts of Network Theory

 Jay     September 06, 2022     Circuit Theory   



Network and Circuits

  • Circuits must have a closed loop Path whereas network may be open or closed path
  • Every circuit is a network but every network is not circuit
  • Circuit is the subset of network

Charge

=> Quantity which is responsible for electric phenomemon.

                                  Q = n.e

where, n = Number of electrons or protons
            Q = total charge 
            e = charge of each electrons 

Unit :- Coulomb (C)

Current

=> Charge in motion represent a current.

Unit : Ampere

Voltage

=> The amount of work required to move a charge through the element.

where, W is the potential energy (in Joule)
            Q is the charge (in Coulomb)

Power

=> Power can be defined as the rate of flow of electrical energy.

Mathematically, it can be written as, 


Energy

  • The Capacity to do work is known as Energy.
  • W = ∫ P dt
  • Unit :- Joule (J)
  • The Electric power utility companies measure energy in watts-hours (Wh)
  • 1 Wh = 3600J

Ohm's Law

Current flowing through conductor is proportional to the potential difference between two ends provided external consitions to be constant.

i.e, I ∝ V 
=> I = V / R

Resistivity

  • Specific resistance is defined as the resistance offered by a unit length and unit cross-section of the substance to a current when a voltage is applied to it.
  • SI Unit :- Ohm.Meter
  • It depends upon the material but not on dimensions

Limitation of Ohm's Law

  • Applicable only for linear elements.
  • Temperature must be constant.

Open circuit & short circuit characteristics 

Open Circuit => R = ∞, I = 0, V = V

Short Circuit => I = I, V = 0, R = 0

Inductance

Capacitance











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