GATE EE 2014 Set 1 — Question 58
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Electrical & Electronic Measurements → Electrical Quantity Measurement → Dynamometer Instruments
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Question
The dc current flowing in a circuit is measured by two ammeters, one PMMC and another electrodynamometer type, connected in series. The PMMC meter contains 100 turns in the coil, the flux density in the air gap is , and the area of the coil is . The electrodynamometer ammeter has a change in mutual inductance with respect to deflection of . The spring constants of both the meters are equal. The value of current, at which the deflections of the two meters are same, is ________
Correct answer
3 to 3.4
Solution
For a PMMC instrument, the deflecting torque is .
For an electrodynamometer instrument, the deflecting torque is .
Since the spring constants are equal and the deflections are the same, the deflecting torques must be equal for the same current :Given:
Substituting the values:
For an electrodynamometer instrument, the deflecting torque is .
Since the spring constants are equal and the deflections are the same, the deflecting torques must be equal for the same current :Given:
Substituting the values:
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