Mesh Current Analysis for Determining I1, I2, and I1 + I2 in a Network

AI Thread Summary
Mesh-current analysis is being used to calculate the currents I1, I2, and their sum in a given network. The equations for Mesh A and Mesh B have been established but the user is experiencing difficulty in simplifying them. A suggestion was made to distribute the j100 Ohm term and combine like terms to facilitate the calculation. This approach aims to clarify the relationships between the currents and voltages in the circuit. Continuing with these calculations will help in resolving the current values effectively.
shaltera
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Use mesh-current analysis to determine currents I1, I2 and I1 + I2 for the network shown.My calculation so far:

Mesh A: v1+v2=12∠00
Mesh B: -v2+v3=-10∠00

v1=i1RA=(47Ω)iA
v2=iAR2=R2(iA-iB)=(j100Ω)(iA-iB)
v3=iBR3=(-75j)iB

Mesh A: (47Ω)iA+(j100Ω)(iA-iB)=12∠00
Mesh B: -(j100Ω)(iA-iB)+(-75j)iB=-10∠00

I'm stuck
 

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Have you tried distributing j100 Ohm and -j100 Ohm and then combining like terms?
 
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