Explain mesh - current method, Electrical Engineering

Assignment Help:

Q. Explain Mesh - Current Method?

This complements the nodal-voltage method of circuit analysis. A set of independent mesh-current variables that implicitly satisfy the KCL equations is selected in order to formulate circuit equations in this mesh analysis. An elementary loop,ora mesh, is easily identified as one of the "window panes" of the whole circuit. However, it must be noted that not all circuits can be laid out to contain only meshes as in the case of planar networks. Those which cannot are called nonplanar circuits, for which the mesh analysis cannot be applied, but the nodal analysis can be employed.

A mesh current is a fictitious current, which is defined as the one circulating around a mesh of the circuit in a certain direction. While the direction is quite arbitrary, a clockwise direction is traditionally chosen. Branch currents can be found in terms of mesh currents, whose solution is obtained from the independent simultaneous equations. The number of necessary equations in the mesh-analysis method is equal to the number of independent loops or meshes.

812_Mesh - Current Method1.png

All current sourceswith shunt conductanceswill be replaced by their corresponding Thévenin equivalents consisting of voltage sources with series resistances. Let us illustrate the method by considering a simple, but typical, example, as shown in Figure (a).

Replacing the current sourcewith shunt resistance by the Thévenin equivalent, Figure (a) is redrawn as Figure (b), in which one can identify two elementary loops, or independent meshes.

By assigning loop or mesh-current variables I1 and I2, as shown in Figure (b) , both in the clockwise direction, one can write the KVL equations for the two closed paths (loops) ABDA and BCDB,

1575_Mesh - Current Method.png


Related Discussions:- Explain mesh - current method

Calculate the maximum radiation intensity, Q. The power gain of an antenna ...

Q. The power gain of an antenna is 10,000. If its input power is 1 kW, calculate the maximum radiation intensity that it can generate.

Evaluate currents in the circuits, Evaluate currents in the circuits: ...

Evaluate currents in the circuits: Determine currents I 1 and I 2 in the given circuits by applying KVL. Solution We apply KVL for first loop : 10 = 1 I 1   + 1 (

Copy data byte 10h ldax instruction, Copy  data byte  10H LDAX  instruct...

Copy  data byte  10H LDAX  instruction Example : Copy  data byte  10H  stored at memory  location 3020 H to  the accumulator using  LDAX  instructions. Solution : To use

Explain numeric processor 8087, Explain numeric processor 8087. Numeric...

Explain numeric processor 8087. Numeric processor 8087 is a coprocessor which has been intended to work under the control of the processor 8086 and offer it additional numeric

Calculate the resistance of a 2 km length of aluminium, Calculate the resis...

Calculate the resistance of a 2 km length of aluminium overhead power cable if the cross-sectional area of the cable is 100 mm 2 . Take the resistivity of aluminium to be 0.03x10 -

Define diffusion length, Define diffusion length: Sol. Diffusion len...

Define diffusion length: Sol. Diffusion length is defined as the distance, travelled by free carriers before recombining. It may also be defined as the average distance cove

How can a jfet be used as a constant current source, Q. How can a JFET be u...

Q. How can a JFET be used as a constant current source? Explain from the drain characteristics. As the VDS voltage is increased from 0 to a few volts, the current will increase

Determine the current for given capacitance values, Q. Consider the circuit...

Q. Consider the circuit of Figure. Determine and sketch i L (t) and v C (t) for capacitance values of (a) 1/6 F, (b) 1/8 F, and (c) 1 / 26 F. Note that the capacitance values ar

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd