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Unformatted text preview: Mesh Analysis A structured form of Kirchhoff's Voltage Law ( loop Vs = 0). In KVL we know that the sum of voltages around any loop is zero. Consider this problem: v 2 + v 5a V a = 0 or 2 i a + 5( i a i b ) = 10 v 5b + v 7 + v 8 = 0 or 5( i b i a ) + 7 i b + 8 i b = 0 These equations can be put in a convenient matrix form. If we collect the i a terms together in the first column and the i b terms together in the second column, we get the following: 2 + 5 5 i a 10 = 5 5 + 7 + 8 i b and now we see there is a simple formula for writing loop equations by inspection: V a Rs (loop a) R ab i a = V b R ab Rs (loop b) i b 1 8 i a + V a = 10 V 2 5 7 i b + + + + + v 2 v 5a v 5b v 7 v 8 8 i a + 10 2 5 7 i b Note: If a resistance is shown without the ohms sign, assume the value shown is in ohms. Likewise, a voltage source is in volts....
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This note was uploaded on 10/06/2008 for the course EE 302 taught by Professor Mccann during the Fall '06 term at University of Texas at Austin.
- Fall '06