# GATE Questions & Answers of Measurement of Voltage, Current, Power, Energy and Power Factor

## What is the Weightage of Measurement of Voltage, Current, Power, Energy and Power Factor in GATE Exam?

Total 16 Questions have been asked from Measurement of Voltage, Current, Power, Energy and Power Factor topic of Electrical and Electronic Measurements subject in previous GATE papers. Average marks 1.31.

Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeters reads half of the other (both positive), then the power factor of the load is

A 0-1 Ampere moving iron ammeter has an internal resistance of $50\;m\Omega$ and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10 Ampere for all operating frequencies. The time constant in milliseconds and resistance in $m\Omega$ of the shunt coil respectively are

The load shown in the figure is supplied by a 440 V (line-to-line), 3-phase source (RYB sequence). The load is balanced and inductive, drawing 3436 VA. When the switch S is in position N, the three watt-meters W1, W2 and W3 read 577.35 W each. If the switch is moved to position Y, the readings of the watt-meters in watt will be:

An energy meter, having meter constant of 1200 revolutions/kWh, makes 20 revolutions in 30 seconds for a constant load. The load, in kW, is _____________.

A (0-50 A) moving coil ammeter has a voltage drop of 0.1 V across its terminals at full scale deflection. The external shunt resistance (in milliohms) needed to extend its range to (0-500 A) is ________.

Match the following:

 Instrument Type Used for P. Permanent magnet moving coil 1. DC only Q. Moving iron connected through current transformer 2. AC only R. Rectifier 3.AC and DC S. Electrodynamometer

A 3-phase balanced load which has a power factor of 0.707 is connected to balanced supply. The power consumed by the load is 5 kW. The power is measured by the two wattmeter method. The readings of the two wattmeters are

The coils of a wattmeter have resistances 0.01$\mathrm{\Omega }$ and 1000$\mathrm{\Omega }$; their inductances may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws 25A at power factor 0.8. The voltage across the load terminals is 30V. The percentage error on the wattmeter reading is _________.

Power consumed by a balanced 3-phase, 3-wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is

While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are 100 W and 250 W. The power factor of the load is _________.

An LPF wattmeter of power factor 0.2 is having three voltage settings 300 V, 150 V and 75 V, and two current settings 5 A and 10 A. The full scale reading is 150. If the wattmeter is used with 150 V voltage setting and 10 A current setting, the multiplying factor of the wattmeter is _________.

For the circuit shown in the figure, the voltage and current expressions are

$v\left(t\right)={E}_{1}\mathrm{sin}\left(\omega t\right)+{E}_{3}\mathrm{sin}\left(3\omega t\right)$ and $i\left(t\right)={I}_{1}\mathrm{sin}\left(\omega t-{\Phi }_{1}\right)+{I}_{3}\mathrm{sin}\left(3\omega t-{\Phi }_{3}\right)+{I}_{5}\mathrm{sin}\left(5\omega t\right)$

The average power measured by the Wattmeter is

Consider the following statement
(i) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the current coil.
(ii) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the voltage coil circuit.

A wattmeter is connected as shown in the figure. The wattmeter reads