The correct answer is option 'D': 1.5 m and m; both rotating.
Explanation:
In 3-phase and 2-phase ac machines, the resultant flux is determined by the sum of the individual fluxes produced by each phase. Let's analyze the given options to understand which one is correct.
a) 2 m and 1.5 m; both rotating
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a 2-phase machine, there are only two phases. So, the total resultant flux would be 2m. Hence, this option is incorrect.
b) 1.5 m, rotating and m, standstill
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a 2-phase machine, there are only two phases. So, the total resultant flux would be 2m. Hence, this option is incorrect.
c) 1.5 m and m; both standstill
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. However, for a standstill machine, there is no rotation, and the flux remains constant. Hence, this option is incorrect.
d) 1.5 m and m; both rotating
This option suggests that the maximum value of flux due to any one phase is m. In a 3-phase system, the maximum value of flux due to any one phase is m. Therefore, the total resultant flux would be 3m for a rotating 3-phase machine. Similarly, for a 2-phase machine, there are only two phases, and the total resultant flux would be 2m. Since both machines are rotating, this option is correct.
In summary, the resultant flux in 3-phase and 2-phase ac machines is given by 1.5 m and m, respectively, when both are rotating.