Final answer:
Symmetrical components of line currents require context to calculate, specifically if the provided currents are phase currents or sequence components and their relationships within a three-phase system.
Step-by-step explanation:
The question seems to relate to the calculation of symmetrical components of line currents in an electrical power system. Given the currents I₁ = j40 A, I₂ = 40 A, and I₃ = 0 A, it is not clear if these currents are meant to represent phase currents or sequence components, as there is no further context provided.
Generally, symmetrical components are used to simplify the analysis of three-phase systems by breaking down complex, unbalanced systems into three sets of balanced components: positive, negative, and zero sequence components. However, without additional context or a clear definition of each current's relation to the phase or sequence, providing a calculation for the symmetrical components is not possible. For a precise calculation, the problem statement should clarify if I₁, I₂, and I₃ refer to phase currents and how they are related to each other within the system.