If P is the power of a star connected system, then what will be the power of an equivalent delta connected system?

The correct answer is option 4): 3 P

Concept:

Let the star-connected system is denoted as (Y)

V_L is the line voltage

V_ph is the phase voltage

I_L is the line current

I_ph is the phase current

V_ph = 

I_L = I_Ph = 

Power = 3 × I_ph² × R

P_Y = 

For delta connection ( Δ )

I_L =  = 

P_Δ  = 3 × Iph2 × R

= 3 × ()² × R

PΔ =  3 × 

PΔ  =  3 × PY

Hence option 4 is correct