GATE EE 2014 Set 2 — Question 58
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Electrical & Electronic Measurements → Measurement Principles → Range Extension (Shunts)
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Question
Two ammeters X and Y have resistances of and respectively and they give full-scale deflection with and respectively. The ranges have been extended by connecting shunts so as to give full scale deflection with . The ammeters along with shunts are connected in parallel and then placed in a circuit in which the total current flowing is . The current in amperes indicated in ammeter X is __________.
Correct answer
9.9 to 10.3
Solution
1.Calculate the voltage drop at full scale for each meter coil:
For meter X: For meter Y:
2.Calculate the equivalent resistance of each extended ammeter assembly (meter + shunt) for the range:
The equivalent resistance of an extended meter is the voltage drop at full scale divided by the new full-scale current.3.Calculate the current division when connected in parallel:
When these two extended meters are connected in parallel with a total current , the current through extended meter X () is found using the current division rule:4.Determine the indicated current:
Since the ammeter is calibrated to show the total current entering its extended assembly, the reading on ammeter X will be the current .Reading .This value falls within the specified range of to .
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