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The d.c armature resistance of a delta-connected alternator measured across its two terminals is 1 ?. The per-phase d.c. resistance is

To find the per-phase d.c. armature resistance, we need to use the equivalent resistance formula for a parallel combination of resistors, which is:

Rparallel = (R1 x R2) / (R1 + R2)

In this case, let's assume the resistance of one phase winding to be Ra, and therefore the equivalent resistance across the terminals to be RRY. Then, we have:

RRY = Ra || (2Ra)

Simplifying this expression, we get:

RRY = (Ra x 2Ra) / (Ra + 2Ra)

RRY = 2Ra / 3

We know that the value of RRY is given as 1 ?. Therefore, we can substitute this value in the above equation to get:

1 = 2Ra / 3

Ra = 3 / 2

Ra = 1.5 ?

Therefore, the per-phase d.c. armature resistance of the delta-connected alternator is 1.5 ?.