Hi,
I am following a text book and I've got this far which I know is correct:
\(\displaystyle V_{S1} = V_{s1}e^{\frac{π}{4}j} \)
\(\displaystyle I_{S2} = I_{s2}e^{\frac{-π}{2}j} \)
\(\displaystyle Z_{L1} = 150j \)
\(\displaystyle Z_{C1} = -66.67j \)
\(\displaystyle Z_{R2L2} = 100 + 50j \)
\(\displaystyle Z_{R1C2} = 3.24 - 19.46j \)
\(\displaystyle V_Y = Z_{R2L2} \frac{V_{S1}(Z_{L1} + Z_{C1} + Z_{R1C2}) + I_{S2}Z_{L1}Z_{R1C2}}{Z_{R2L2}(Z_{L1} + Z_{C1} + Z_{R1C2}) + Z_{L1}(Z_{R1C2}+Z_{C1})} \)
This is where I'm stuck, as I need to get from here to:
\(\displaystyle V_Y = 3.5e^{2.3j} \)
Is anyone able to help solve this?
I am following a text book and I've got this far which I know is correct:
\(\displaystyle V_{S1} = V_{s1}e^{\frac{π}{4}j} \)
\(\displaystyle I_{S2} = I_{s2}e^{\frac{-π}{2}j} \)
\(\displaystyle Z_{L1} = 150j \)
\(\displaystyle Z_{C1} = -66.67j \)
\(\displaystyle Z_{R2L2} = 100 + 50j \)
\(\displaystyle Z_{R1C2} = 3.24 - 19.46j \)
\(\displaystyle V_Y = Z_{R2L2} \frac{V_{S1}(Z_{L1} + Z_{C1} + Z_{R1C2}) + I_{S2}Z_{L1}Z_{R1C2}}{Z_{R2L2}(Z_{L1} + Z_{C1} + Z_{R1C2}) + Z_{L1}(Z_{R1C2}+Z_{C1})} \)
This is where I'm stuck, as I need to get from here to:
\(\displaystyle V_Y = 3.5e^{2.3j} \)
Is anyone able to help solve this?