All questions of Measurement of Power & Energy for Electrical Engineering (EE) Exam

The declared constant of a 5 A, 220 V d.c. watthour meter is 3275 revolutions per kWh. The speed of the disc at full load is
  • a)
    8 rps
  • b)
    3 rps
  • c)
    1 rps
  • d)
    2 rps
Correct answer is option 'C'. Can you explain this answer?

Here, cos φ = 1 (for d.c. watthour meter) Energy supplied to the energy meter in kWh

∴ Energy supplied to the energy meter per minute = 
Given, energy meter constant, K = 3275 revolutions/kWh
∴ Disc speed in rpm = Energy supplied per minute x Energy meter constant

The braking torque provided by a permanent magnet in a single phase meter is proportional to the
  • a)
    square of the flux of the permanent magnet
  • b)
    speed of the meter
  • c)
    both (a) and (b)
  • d)
    neither (a) nor (b)
Correct answer is option 'C'. Can you explain this answer?

Gargi Basak answered
Braking torque provided by the permanent magnet is given by

Where,
N = speed of the disc in rpm
φm = maximum value of flux of the permanent magnet 
d = distance of the permanent magnet from the centre of the revolving disc

Assertion (A): An electrodynamometer type wattmeter reads low when the load power factor is leading.
Reason (R): The effect of pressure coil inductance is to increase the phase angle between load current and pressure coil current when the load power factor is leading.
  • a)
    Both A and R are true and R is a correct explanation of A.
  • b)
    Both A and R are true but R is not a correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?

Anirban Gupta answered
Assertion (A): An electrodynamometer type wattmeter reads low when the load power factor is leading.
Reason (R): The effect of pressure coil inductance is to increase the phase angle between load current and pressure coil current when the load power factor is leading.

Explanation:
A is true because an electrodynamometer type wattmeter is designed to measure the real power in a circuit. In a circuit with a leading power factor, the wattmeter will read low due to the effect of inductive reactance in the pressure coil.

R is a correct explanation of A because when the load power factor is leading, there is a phase difference between the current flowing through the load and the current flowing through the pressure coil of the wattmeter. The inductance of the pressure coil causes a lagging current, which increases the phase angle between the load current and the pressure coil current. This leads to an error in the measurement of real power by the wattmeter.

To understand this concept more clearly, let's break down the explanation into key points:

1. Electrodynamometer Type Wattmeter:
- An electrodynamometer type wattmeter is a type of instrument used to measure the real power in a circuit.
- It works on the principle of the interaction between the magnetic field produced by the current in the pressure coil and the magnetic field produced by the current in the current coil.

2. Leading Power Factor:
- In a circuit with a leading power factor, the current leads the voltage waveform.
- This means that the current waveform reaches its peak before the voltage waveform.

3. Effect of Pressure Coil Inductance:
- The pressure coil of the electrodynamometer type wattmeter has inductance due to the presence of a coil.
- Inductance causes a phase lag between the current and voltage waveforms.
- When the load power factor is leading, the phase angle between the load current and the pressure coil current increases.
- This increased phase angle causes the wattmeter to read low.

Conclusion:
Both Assertion (A) and Reason (R) are true, and Reason (R) is a correct explanation of Assertion (A). The effect of pressure coil inductance is to increase the phase angle between load current and pressure coil current when the load power factor is leading, leading to a low reading on the electrodynamometer type wattmeter.

 In a single phase induction type energy meter, the lag adjustment is done
  • a)
    to bring the pressure coif flux in phase with the applied voltage 
  • b)
    to make the current coil flux to lag 90° behind the applied voltage
  • c)
    to make the pressure coil flux to lag 90° behind the applied voltage
  • d)
    none of the above
Correct answer is option 'C'. Can you explain this answer?

For the energy meter to record true energy the pressure coil should be highly inductive (i.e, Δ = 90°). Thus, for the angle between the shunt magnet flux (φρ) and the supply voltage to be 90°, a lagging coil is placed between the potential coil and the rotating aluminium disc. Lag adjustment sometimes is called power factor or quadrature or inductive load adjustment.

A 230 V, single phase, watt hour meter has a constant load of 4 A passing through it for 6 hours at unity at unity power factor. The meter disc makes 2208 revolutions during this period. If the number of revolutions made by the meter are 1472 when operating at 230 V and 5 A for 4 hours, then power factor of the load would be
  • a)
    0.6 lag
  • b)
    0.707 lag
  • c)
    0.866 lag
  • d)
    0.8 lag
Correct answer is option 'D'. Can you explain this answer?

Energy supplied = VI cosφ) x t x 10-3 kWh
= 230 x 4 x 1 x 6 x 10-3
= 5.52 kWh
Energy meter constant,

Energy consumed when the meter makes 1472 revolutions

Now, energy consumed
 VI cos φ x f x 10-3 kWh = 230 x 5 x cost}) x 4 x 10-3 kWh
= 3.68 kWh (As obtained above)
or, 
Hence, power factor of the load = 0.8

Assertion (A): A wattmeter must be used for the measurement of power in a.c. circuit instead of merely an ammeter and a voltmeter.
Reason (R): Wattmeter measures average active and reactive powers.
  • a)
    Both A and R are true and R is a correct explanation of A.
  • b)
    Both A and R are true but R is not a correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'C'. Can you explain this answer?

Nayanika Kaur answered
Explanation:

Assertion (A):
- A wattmeter must be used for the measurement of power in a.c. circuit instead of merely an ammeter and a voltmeter.

Reason (R):
- Wattmeter measures average active and reactive powers.

Analysis:
- The assertion is true because a wattmeter is specifically designed to measure power in alternating current circuits, taking into account both active (real) power and reactive power.
- The reason is false because a wattmeter measures only active power, not reactive power. Reactive power is measured using a separate instrument called a varmeter.
Therefore, the correct answer is:

c) A is true but R is false.

 Power at RF is measured using
  • a)
    directly
  • b)
    P = E2IR or P = I2 R
  • c)
    wattmeter
  • d)
    voltmeter
Correct answer is option 'B'. Can you explain this answer?

Megha Datta answered
At AF (audiofrequency) and RF (radio frequency) it is easier to measure voltage, current and impedance, than to measure- power. Direct measurement of power is not done in this range. Here, power is calculated from the equation 
P = E2IR or P = I2 R

Creeping in a single phase induction type energy meter may be due to
  • a)
    overvoltage
  • b)
    vibration
  • c)
    neither overvoltage nor vibration
  • d)
    overvoltage or vibration
Correct answer is option 'D'. Can you explain this answer?

Creeping in Single Phase Induction Type Energy Meter

Creeping in single phase induction type energy meter refers to a phenomenon where the energy meter registers more energy consumption than the actual amount of energy consumed. This happens when the energy meter disc rotates even when there is no load connected to the meter.

Causes of Creeping

There are two main causes of creeping in single phase induction type energy meter:

1. Overvoltage: When the voltage supplied to the energy meter exceeds the rated voltage, the meter disc starts rotating even when there is no load connected to it. This happens because the meter disc is designed to rotate at a particular speed corresponding to the rated voltage. When the voltage exceeds this value, the meter disc rotates faster, leading to creeping.

2. Vibration: Vibration in the energy meter can also cause creeping. This is because the meter disc is very sensitive to even small vibrations. When there is vibration in the meter, the disc starts rotating even when there is no load connected to it.

Prevention of Creeping

To prevent creeping in single phase induction type energy meter, the following measures can be taken:

1. Voltage Regulation: The voltage supplied to the energy meter should be regulated to ensure that it does not exceed the rated voltage of the meter.

2. Mounting: The energy meter should be mounted on a stable surface where there is no vibration. This will prevent any vibration from affecting the meter disc.

Conclusion

Creeping in single phase induction type energy meter is a common problem that can lead to inaccurate energy consumption readings. It can be caused by overvoltage and vibration. To prevent creeping, the voltage supplied to the meter should be regulated, and the meter should be mounted on a stable surface where there is no vibration.

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