The Currents in A $\Delta$ Load Are $I_{a b}=10 \angle 0^{\circ}, I_{b c}=20 \angle-90^{\circ}$

Essay

The currents in a $\Delta$ load are $I_{a b}=10 \angle 0^{\circ}, I_{b c}=20 \angle-90^{\circ}$ , and $I_{c a}=15 \angle 90^{\circ}$ A. Calculate (a) the sequence components of the $\Delta$ -load currents, denoted $I_{\Delta 0}, I_{\Delta 1}, I_{\Delta 2}$ ; (b) the line currents $I_{a}, I_{b}$ , and $I_{c}$ , which feed the $\Delta$ load; and (c) sequence components of the line currents $I_{\mathrm{L} 0}, I_{\mathrm{L} 1}$ , and $I_{\mathrm{L} 2}$ . Also, verify the following general relation: $I_{\mathrm{L} 0}=0$ , $I_{\mathrm{L} 1}=\sqrt{3} I_{\Delta 1} \angle-30^{\circ}$ , and $I_{\mathrm{L} 2}=\sqrt{3} I_{\Delta 2} \angle+30^{\circ} \mathrm{A}$ .