Question

Consider a three-phase Y-connected source feeding a balanced-$\mathbf{∆}$ load. The phasor sum of the line currents as well as the neutral current are always zero.

(a) True

(b) False

Short answer

Answer

Therefore, the correct option for the statement is “True”.

Step-by-step solution

Define phasor for line to line and line to neutral currents in Y-connected source.

The delta-load when supplied by the balanced line currents of Y start connected source, the phasor sum of the balanced load currents equal zero.

${\mathbf{I}}_{\mathbf{AB}}\mathbf{+}{\mathbf{I}}_{\mathbf{BA}}\mathbf{+}{\mathbf{I}}_{\mathbf{CA}}\mathbf{=}\mathbf{0}$

Also, for the load connected in delta, the sum of all the phasor currents is also zero whether the system is unbalanced or balanced. This is because there is no neutral wire in the load.

Define if statement is true or false.

Since, phasor currents are zero for line to line load current and line to neutral load currents. The given statement is true.

Thus, the statement is true.