Write down the relation between line current and phase current, line voltage and phase voltage, power in balanced three phase delta connected balanced load.

For a balanced delta (Δ) connected load:

• Voltage: each phase is connected directly between two lines, so V_L = V_ph.
• Current: each line current is the phasor difference of two phase currents 120° apart: I_L = √3 I_ph, and the line currents lag the respective phase currents by 30°.
• Power: \( P = 3V_{ph}I_{ph}\cos\phi = \sqrt3V_LI_L\cos\phi \) W; reactive power \( Q = \sqrt3V_LI_L\sin\phi \) VAR; apparent power \( S = \sqrt3V_LI_L \) VA, where φ is the angle between phase voltage and phase current (load impedance angle).

 I_L = I_R - I_B  (phasor) -> |I_L| = 2 I_ph cos30 = sqrt(3) I_ph