Two 100 V full scale PMMC type DC voltmeters having figure of Merits (...
Answer
Explanation:
To calculate the maximum voltage that can be measured using the series combination of two PMMC voltmeters, we need to use the following formula:
Maximum voltage = (FS1 + FS2) / [(RM1 / FOM1) + (RM2 / FOM2)]
Where,
FS1 and FS2 = Full scale deflection of the two voltmeters, in volts
RM1 and RM2 = Internal resistance of the two voltmeters, in ohms
FOM1 and FOM2 = Figure of merit of the two voltmeters, in ohms per volt
Substituting the given values, we get:
Maximum voltage = (100 + 100) / [(RM1 / 10000) + (RM2 / 20000)]
We know that the internal resistance of a PMMC voltmeter is typically in the range of a few kiloohms. Assuming a value of 5 kΩ for both voltmeters, we get:
Maximum voltage = 200 / [(5 / 10000) + (5 / 20000)] = 150 V
Therefore, the maximum DC voltage that can be measured using the series combination of the two PMMC voltmeters is 150 V.
Conclusion:
Thus, we can conclude that the correct option is (c) 150 V.