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 the circuit setup, imagine two parallel branches connected to a common node. Each branch has its respective current: \( I_{1} = 26 \text{ A (at +15°)} \) flowing in one direction, while \( I_{2} = 18 \text{ A (at -15°)} \) flows in the opposite direction. This arrangement can be drawn with two arrows, one pointing up and the other down, symbolizing the currents. Now, to find the total current \( I_{t} \), we can use the provided formula. Since the currents are at different angles, we convert them into rectangular form. Then, we sum the respective real and imaginary components. This results in the total current \( I_{t} \), reflecting the actual flow of electricity accounting for both magnitude and direction. Don’t forget, vector addition is key here!