In circuit shown in the picture below all impedances are known, when switch is off, current I1 is also known I1=20mA. The task is to find the same current when the switch is on. Impedances:
Z1=(20+j40) Ohms, Z2=(120-j80)Ohms, Z3=(80+j120)Ohms, Z4=(140-j180)Ohms, Z5=(100+j100)Ohms.
I've tried to solve it this way:
Since i know all impedances and i don't know the voltage on E1 and E4 and current of Ig5 i thought i should find Thevenin generator for the part of the circuit left from the Z2 (including the branch with Z2) when the switch is off(since then i know the current I1). Impedance of Thevenin generator is Zt=40(2-j)V now i ave circuit with Z1 and Zt in series and two voltage generators which can be replaced with one whose voltage is sum of their voltages. With known current it's easy to determine E(E=E1+Et) and i got E=2V. When the switch is on i have only Zt impedance left, and E which is now known value, so I1'=E/Zt=(100+j50)mA.
So, is this correct and is this valid approach, i mean am i missing something or making mistake somewhere? Any suggestion, advice or correction is welcome.
Z1=(20+j40) Ohms, Z2=(120-j80)Ohms, Z3=(80+j120)Ohms, Z4=(140-j180)Ohms, Z5=(100+j100)Ohms.
I've tried to solve it this way:
Since i know all impedances and i don't know the voltage on E1 and E4 and current of Ig5 i thought i should find Thevenin generator for the part of the circuit left from the Z2 (including the branch with Z2) when the switch is off(since then i know the current I1). Impedance of Thevenin generator is Zt=40(2-j)V now i ave circuit with Z1 and Zt in series and two voltage generators which can be replaced with one whose voltage is sum of their voltages. With known current it's easy to determine E(E=E1+Et) and i got E=2V. When the switch is on i have only Zt impedance left, and E which is now known value, so I1'=E/Zt=(100+j50)mA.
So, is this correct and is this valid approach, i mean am i missing something or making mistake somewhere? Any suggestion, advice or correction is welcome.