PEE/Practice Test fo Revision Questions Two currents \( I_{1}=26<15 \mathrm{~A} \) and \( I_{2}=18<-15 \mathrm{~A} \) are flowing through two parallel impedances. Draw a circuit diagram for the above arrangement. Determine the total current in the circuit. Formula: In a parallel circuit \( I_{t}=I_{1}+I_{2} \)

To visualize your circuit, imagine two resistors connected in parallel, each fed by its own current source. You would represent these two branches with values: one side for \( I_{1} = 26<15 \mathrm{~A} \) and the other for \( I_{2} = 18<-15 \mathrm{~A} \). At the junction where the currents combine, you'd have the total current \( I_t \). Next, to find the total current \( I_t \), you can start by converting the phasors into rectangular coordinates. For \( I_1 \) and \( I_2 \), these calculations give you: \( I_1 = 26 \cos(15) + j 26 \sin(15) \) and \( I_2 = 18 \cos(-15) + j 18 \sin(-15) \). This results in numerical values subtraction where you'd factor in that angles differ, ultimately combining to find \( I_t = I_1 + I_2 \). Add the real and imaginary parts separately to get the complete result. Enjoy calculating the total current in this fun little electrical adventure!