SSC JE Measurement & Instrumentation Solved Questions (2018-2009) Part-2

Ques 41. A wattmeter is marked 15 A/30 A, 300 V/600 V and its scale is marked up to 4500 watts. When the meter is connected to 30 A, 600 V, the point indicated 2000 watts. The actual power of the circuit is (SSC-2013)

  1. 2000 watts
  2. 4000 watts
  3. 6000 watts
  4. 8000 watts

Answer.4. 8000 watts

Explanation:

Power consumed by wattmeter = CT ratio x PT ratio x VIcosΦ……..1

In the above question

Power consumed by wattmeter = 2000 watts

CT ratio = 15 / 30

PT ratio = 300 / 600

VI = 600 x 30

Putting all the value in equation number 1 we get

2000=(15/30) x (300/600) x 600 x 30 x cosΦ

CosΦ = 0.4444

Power = VI cosΦ = 600 x 30 x 0.4444

Power = 7999.2 ≅ 8000 watts

 

Ques 42. In a balanced 3-phase system, the current coil of a wattmeter is inserted in line 1 and the potential coil across 2 and 3. If the wattmeter reads 100 W, the reactive power drawn by the 3-phase load is (SSC-2012)

  1. 173.2 VAR
  2. 50 VAR
  3. 100 VAR
  4. 141. 4 VAR

Answer.1. 173.2 VAR

Explanation:-

Reactive power drawn by the 3-phase load is

Q = √3 x reading of wattmeter

Q = √3 x 100

173.21 VAR

 

Ques 43. The conditions at which the following potential divider is independent of frequency may be (SSC-2012)

Numerical 32

  1. R1/R2 = C1/C2
  2. R1/R2 = C2/C1
  3. R1C1 << 1, R2C2 <<1
  4. R1 + R2 + 1/C1 + 1/C2
  1. ii and iv are true
  2. 1 and iii are true
  3. i is true only
  4. ii is true only

Answer.4. ii is true only

Explanation:-

For independent frequency-time constants, RC network must be equal i.e the circuit has an output which is independent of frequency if the low and high-frequency response is identical.

Vo = R1/(R1 + R2) = C2/(C1 + C2)

= R1C1 = R2C2

= R1/R2 = C2/C1

 

Ques 44. In the circuit forward resistance of the diode D is 2Ω and its reverse resistance is infinitely high. (SSC-2012)

numerical 41a

A list consists of meters (List-I) and another list shows, the meter readings (Lis-II)

Numerical 41 1

Which one of the options given here is correct to indicate the type of meter (List-I) and its reading (List-II)

  1. i → (a), (ii) → c
  2. (i) → b, (ii) → (d)
  3. (i) → (a), (ii) → (b)
  4. (i) → (b), (ii) → (a)

Answer.3. (i) → (a), (ii) → (b)

Explanation:-

For PMMC and Hot wire

Given Vrms =100V

Peak voltage Vm = VRMS x √2

= 100 x √2 = 141.42 V

Im = Vm/R = 141.42/(8+2)

Im = 14.14 A

RMS current of half wave rectifier is

Irms = Im/2 = 14.14/2 = 7.07 A →Hot wire

In the most analogous meter movement which employs PMMC deflection system the average current flowing through the meter coil. And the average current for have wave rectified sine wave is

Iavg = Im/π =14.14/π = 4.5A→PMMC

 

Ques 45. In figure D in an ideal diode. If the RMS value of the input voltage is 50V, then the RMS current through 100 Ω is (SSC-2012)

numerical 42

  1. 0.5/√2A
  2. 0.25A
  3. 0.5A
  4. 0.5√2 A

Answer.1. 0.5/√2A

Explanation:-

In the given figure the circuit consists of the single diode, therefore, the Output will be rectified as half wave, hence RMS current of half wave rectifier is

Irms = Im/2

RMS voltage = 50 V

RMS Value of output (Vrms) of Half voltage rectifier

Vrms = Vm/√2

Vm = Vrms x √2 = 50 x √2

Im = Vm/R

= 50√2/100 = 1/√2

Irms = Im/2

= 1/2√2 = 0.5/√2

 

Ques 46. In a rectifier circuit, the primary function of the filter is to (SSC-2012)

  1. Control the DC level of the output voltage
  2. Remove ripples from the rectified output
  3. Minimize AC input variations
  4. Suppress odd harmonics In the rectifier output

Answer.2. Remove ripples from the rectified output

Explanation:-

We know that rectifiers are used to convert AC to DC, but not a pure DC. The output that is obtained from a rectifier is pulsating in nature, which basically means that it has a certain amount of AC component called the ripple. These ripple components are very much unwanted and undesirable in a rectifier circuit as they reduce the efficiency of AC to DC conversion. So, in order to remove these components, filters are used. A filter ( capacitor-based filter) in a circuit takes this mixed input and produces a pure DC output, bypassing the AC component to earth / neutral.

 

Ques 47. In two wattmeter method of measurement of three-phase power of a balanced load, if both the wattmeters indicate the same reading, then the power factor of the load is (SSC-2011)

  1. Zero
  2. Unity
  3. 0.8 lagging
  4. 0.8 Leading

Answer.2. Unity

Explanation:-

The power factor of the wattmeter is given as

11

Second method

Reading of Wattmeter 1 “W1”

W1 = VLIL Cos(30 + Φ)

Reading of Wattmeter 2 “W2”

W2 = VLIL Cos(30 – Φ)

When load P.F cosΦ = 1 then Φ = 0° so that

W1 = W2 = VLIL Cos30

 

Ques 48. Measurement of ________ is affected by the presence of thermo-emf in the measuring circuit (SSC-2011)

  1. High resistance
  2. Low Resistance
  3. Capacitance
  4. Inductance

Answer.2. Low Resistance

Explanation:-

In the galvanometer circuit, the dissimilar metals come in contact and generate the thermal e.m.f.s. Such thermal e.m.f.s may cause errors while measuring low-value resistances. To prevent this, more sensitive galvanometers having copper coils and copper suspension systems are used.

 

Ques 49. The response time of an indicating instrument is determined by its (SSC-2011)

  1. Deflecting system
  2. Damping system
  3. Controlling system
  4. Support type of Moving system

Answer.2. Damping system

Explanation:-

The major function of the damping system is to produce a damping force while the moving system is in motion. The damping force should be of such a magnitude that the pointer of the moving system comes to its final steady value quickly without any oscillation.

The response time of an indicating instrument is determined by the Damping system.

  • If the moving system reaches its final position rapidly and smoothly without oscillations, the instrument is said to be critically damped.
  • If the moving system oscillates about the final stead, position with a decreasing amplitude and take some time to come to rest then the instrument is said to be underdamped.
  • The instrument is said to be overdamped if the moving system moves slowly to its find steady position.
  • In practice, slightly underdamped systems are preferred.

 

Ques 50. The ratio of the reading of two wattmeters connected to measure active power in a balanced 3-phase load is 2:1. The power factor of the load is (SSC-2011)

  1. 0.866 lag
  2. 0.866 lead
  3. 0.866 lag or lead
  4. None of the above

Answer.2. 0.866 lead

Explanation:-

The ratio of the reading of two wattmeter

P1/P2 = 2:1

solution 10

On putting the value

P1/P2 = 2/1

P.F = Cosθ =  Cos 30° = 0.866 Lead

Since for leading power factor P1 > P2.

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