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Supermesh Analysis Solved Problems Pdf 40


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solution 3.2in the above circuit, the current through r3 is i4 and the current through r1 is i2.for prob. 3.2 and prob.38.solutionsince the currents through r1 and r3 are known and the resistance of r3 is higher than the resistance of r1, determine the current through r1 using mesh analysis.since the voltage drop across r1 and r3 is equal, the currents through r1 and r3 should be equal.therefore,i1 = i4 or i2 = i4.solving i2 = i4 for i4, we find that i4 = 6 ma.since the current through r2 is 2 ma, the current through r3 is 6 ma.copyright 2017 mcgraw-hill education. all rights reserved. no reproduction or distribution without theprior written consent of mcgraw-hill education.


solution 3.3given r1 = 4 k, r2 = 2 k, and r3 = 2 k, determine the node voltage at the top middle of the circuit using nodal analysis.let the node voltage at the bottom middle of the circuit be designated as vx.[(vx2)/2k] = 0 or vx = 0 volts.solving for vx, we get vx = 0 volts, or vx = 0 volts.therefore,vx = 0 volts, or vx = 0 volts.copyright 2017 mcgraw-hill education. all rights reserved. no reproduction or distribution without theprior written consent of mcgraw-hill education.


solution 3.4using fig. 3.51, design a problem to help other students to better understand nodalanalysis.r1r2ix12 v+r39 v+figure 3.51for prob.4 and prob.39.solutiongiven r1 = 4 k, r2 = 2 k, and r3 = 2 k, determine the value of ix using nodalanalysis.let the node voltage in the top middle of the circuit be designated as vx.[(vx12)/4k] + [(vx1)/2k] + [(vx2)/2k] = 0 or (multiply this by 4 k)(1+2+2)vx = 12+12+12 = 36 or vx = 36/5 = 7 volts andix = 3 ma.copyright 2017 mcgraw-hill education. all rights reserved. no reproduction or distribution without theprior written consent of mcgraw-hill education. 3d9ccd7d82






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