GATE EE 2015 Set 2 — Question 40
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Electrical & Electronic Measurements → Electrical Quantity Measurement → Error Analysis
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Question
The coils of a wattmeter have resistances and ; their inductances may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws at power factor . The voltage across the load terminals is . The percentage error on the wattmeter reading is ______.
Correct answer
0.14 to 0.16
Solution
The true power consumed by the load is given by:From the circuit diagram, the wattmeter is connected such that the pressure coil (PC) is on the supply side of the current coil (CC). In this configuration, the wattmeter reading includes the power consumed by the load and the power loss in the pressure coil:The supply voltage is the vector sum of the load voltage and the voltage drop across the current coil:Taking as reference: . Since lagging, .This value falls within the specified range of 0.14 to 0.16.
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