D.c NETWORKS AND THEOREMS ____________________________________________INTRODUCTION_
°in the study of electrical engineering which involves the study of the behaviour of electrical systems and devices the knowledge of electric circuit theory is very essential. We are there for beginning our study of electrical circuit theory with the study of various methods off the network analysis and principle theorems which have been developed for solving problems and complex electrical networks
°even through the discussion in the chapter is restricted to D.C circuit only, it is equally applicable to A.C network in the case of A.C networks, the only difference is that the impedance's are used instead of just ohmic resistance's. Since the impedance as well as as currents and voltages in such(ऐसा) circuits are expressed (व्यक्त करना) by complex numbers the algebraic manipulation are more extensive(बहुत बड़ा). ------------------------------------------------------
°CONCEPT OF OPEN AND SHORT CIRCUIT'S
____________________________________________ °The conceptual understanding of open circuits and short circuits is very important in the analysis of electrical network. otherwise, they can cause a lot of confusion while applying some of the methods of theorems for the solution of electrical networks.
Open circuit: An open circuit exist between two isolated terminals of a network which are not connected by an element of any.
°under these condition the terminals can have a potential difference across them but the current flowing through them is always zero amperes.
°for example, consider the batteries of EMF E volts and internal resistance of r ohms shown in fig. 2.1.
°and open circuit exist between the terminals a and b there is a voltage of V(=E) volts between these two terminals, but the current flowing between them is zero to the absence of a closed path for it's flow.
Short circuit: A connection of zero resistance across and element or combination of elements is called a short circuit.
°a short circuit can carry a current of high level but the potential difference across its terminals is always off zero voltas.
° in the circuit of this figure:-(a), it is obvious that the circuit current I=E/r+R amperes.
°Now, if is short circuit established across the resistor of R ohms as figure:-(b) then under this condition,
Total resistance of the circuit Rt= r+ R×0/R+0= r ohms
So, Circuit current I=E/Rt=E/r amperes
If the internal (b)resistance (r) of the battery is vary small, then this circuit will be very high.
° Futher ,since the current always prefers the path of least resistance, all this current will flow the short circuit path and number current will flow through the resistor R*{IR= 0/(0+R)×I= 0}. Also the resistance of a short circuit being zero ohms, the potential difference across its terminals is always zero volt (Since, in accordance with Ohms law V=l×0=volts). .
Thank you. Written by. Abhishek Singh (E.E)
Nice
ReplyDelete