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Forum: Electrical & Computer Engineering :: Electric Circuits :: Mesh current method  New Topic
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aac13 #5 Sat 4 Apr 2009 3:59:00 PM
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Joined Wed 21 Jan 2009
Posts 151

a)    Use the mesh-current method to find vo in the circuit.

b)    Find the power delivered by the dependent source.


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aac13 Sat 4 Apr 2009 4:00:00 PM
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Joined Wed 21 Jan 2009
Posts 151

a)  mesh 1:           -10 + 2i1 + 16(i1 – i2)  =  0

               mesh 2:           16(i2 – i1) + 12i2  + 4i∆ =  0

               mesh 3:           -4 + 5i∆ + 3i∆  =  0

          Thus, we get the following:

                                      18i1 – 16i2 = 10
                                      -16i1 + 28i2 + 4i∆ = 0

                                      8i∆  =  4

          Solving the system we get:

                                      i∆ = 0.5 A;           i1 = 1 A;           i2 = 0.5 A

          V0 = 16(i1 – i2)  = 16 (0.5)  =  8 V

          b)  P4i∆  =  4i∆ i2  =  4(0.5)(- 0.5)  =  - 1 W                 (delivered)


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