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Homework Statement
Apply mesh analysis to determine the magnitude and phase of the currents in the circuit of FIGURE 4, given the values in TABLE A
Vs = 20 Vrms
Z1 = 0  j5 Ω
Z2 = 5 + j5 Ω
Z3 = 5 + j5 Ω
Z4 = 0  j10 Ω
Z5 = 10 + j0 Ω
Homework Equations
KVL
Simultanious equations
The Attempt at a Solution
I first highlighted three appropriate mesh's to use in the calculation, these are shown in the attachment. I know that these are appropriate mesh's to use.
I then calculated an equation for each circuit:
Green:
= E  I1Z1  (I1I3)Z3 = 0
= E  (Z1+Z3)I1 +Z3I3 = 0
= 20  (5+j0)I1 + (5+j5)I3 = 0
Pink:
= E  I2Z2  (I2I3)Z4
= E  (Z2+Z4)I2  (I2I3)Z4 = 0
= 20  (5j5)I2 + (0j10)I3 = 0
Orange:
= I3Z5  (I3+I2)Z4  (I3I1)Z3 = 0
= Z3I1  Z4I2  (Z3+Z4+Z5)I3 = 0
= (5+j5)I1  (0j10)I2  (15j5)I3 = 0
What I need is someone to confirm that what I have done so far is correct. And if so I am stuck at how to solve the equations to find the current and phase. I have tried to be as clear as possible (My paper workings out aren't so...) Thank you in advance
Attachments

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