as we know
in DELTA connection the phase voltage equal the line voltage and the phase
current equal to the line current times 1/root(3)
then V(phase)=V(line) = V
and I(phase)=I(line)/root(3) = I/root(3)
In STAR connection if again the line voltage equal
to V(line)= V , the phase voltage will equal to line voltage time
1/root(3) V(phase)=V(line)/root(3) =
V/root(3) and as per Ohm's Law (V=I*Z) and in both connection (star &
Delta) we have the same winding impedance, any change in Voltage will change the
current in the same amount.then V(phase)=V(line) = V
and I(phase)=I(line)/root(3) = I/root(3)
so the phase current for star connection will be equal to
I(phase-star)= I(phase-delta)/root(3)
=(I/root(3))/root(3)
= I/3
and as we know in star connection the line current equal to the phase current
I(line)=I(phase)= I/3
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