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 $I_{\mathrm{L} 2}=\sqrt{3} I_{\Delta 2} \angle+30^{\circ} \mathrm{A}$.

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The Answer of 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 $I_{\mathrm{L} 2}=\sqrt{3} I_{\Delta 2} \angle+30^{\circ} \mathrm{A}$.

The Currents in A Δ\DeltaΔ Load Are Iab=10∠0∘,Ibc=20∠−90∘I_{a b}=10 \angle 0^{\circ}, I_{b c}=20 \angle-90^{\circ}Iab​=10∠0∘,Ibc​=20∠−90∘

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