Kirchoff s Laws Name In your basic EE courses you will come across Kirchoff\'s C
ID: 2181635 • Letter: K
Question
Kirchoff s Laws Name In your basic EE courses you will come across Kirchoff's Current Laws. By analyzing the current flow through the various loops of electrical circuits one can "solve" for all the unknown currents, voltages and resistances, provided enough information is given. This will involve solving lots of simultaneous equations. The voltage drops are: Vab = 211 Vbd = 813 Vcd = 412 Notes: Voltages are in volts Currents are in amperes Resistance are in ohms For the circuit above, the three currents, l 1, 12 and 13 can be determined from the following set of equations. 11 + i2 - 13 = 0 2 11 + 813 = 32 4 12 + 8 13 = 20 Write the three current equations in matrix form e.g. a coefficient matrix (3times3), an unknown matrix of currents {(3times1) and a right hand side matrix (3times1}) Solve for the 3 currents (l1, 12, 13) l1= l2= l3= (you can use your calculator or Excel or manually solve the 3 equations) Use the 3 currents to calculate the 3 voltage drops from the voltage equations above. Vab= Vbd= Vcb=Explanation / Answer
solving the 3 equations I1 = 4 A I2= -1A I3 = 3 A Vab = 8V Vbd = 24 V Vcb = -4V
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