SSC JE Basic Electrical Questions (2009 – 2018) Solved | MES Electrical

Ques.11. Determine the current (in A) that flows through a 15 Ohms resistance, when the potential difference between the terminals of the resistors is 60 V. (SSC 2018 -S-1)

  1. 3
  2. 2
  3. 4
  4. 6

Answer.3. 4

Explanation

Given

Resistance R = 15 ohms

Potential Difference V = 60 V

Current I =?

According to the Ohm’s Law

I = V/R = 60/15 = 4A

I = 4A

 

Ques.12. Determine the power (in W) dissipated by a 16 ohms resistor, when the potential difference between the ends of the resistors is 32 V. (SSC 2018 -S-1)

  1. 66
  2. 68
  3. 62
  4. 64

Answer.4. 64

Explanation

Given
Resistance = 16 ohms
Potential  difference V = 32 V

∴ Power dissipated by the resistor

P = V2 ⁄ R = (32)2 ⁄ 16

P = 64 Watt

 

Ques.13. Which of the following represents the quality factor of a series RLC circuit? (SSC 2018 -S-1)

[latex]\begin{array}{l}1.\dfrac{1}{R}\sqrt {\dfrac{L}{C}} \\\\2.\dfrac{1}{R}\sqrt {\dfrac{C}{L}} \\\\3.{R^2}\dfrac{L}{C}\\\\4.{R^2}\dfrac{C}{L}\end{array}[/latex]

Answer.1.

Explanation:-

img.4 2

The quality factor is defined as the ratio of Resonant Frequency to the Bandwidth.

[latex]\begin{array}{l}{\text{Quality Factor = }}\dfrac{{{\omega _o}}}{{B.W}}\\\\{\text{Resonant Frequency }}{\omega _o} = \dfrac{1}{{\sqrt {LC} }}\\\\Bandwidth = \dfrac{R}{L}\\\\{\text{Q Factor = }}\dfrac{{\frac{1}{{\sqrt {LC} }}}}{{\dfrac{R}{L}}}\\\\{\text{Q Factor = }}\dfrac{1}{R}\sqrt {\dfrac{L}{C}} \end{array}[/latex]

 

Ques.14. What will be the value of average power (in Watt) of a sinusoidal voltage applied across a series circuit is 20 sinωt V and the current flowing the circuit is 10 sin(ωt + 60)A? (SSC 2018 -S-1)

  1. 50
  2. 60
  3. 80
  4. 100

Answer.4. 100

Explanation

Given

The instantaneous value of Voltage V = Vmsinωt = 20 sinωt = 20 V

The instantaneous value of voltage I = Imsin(ωt + φ) = 10 sin(ωt + 60) = 10 A

Phase angle φ = 60°

Average Power delivered by an AC circuit

Pavg = IRMS.VRMS.Cosφ

Where

IRMS = Im ⁄ √2 = 20 ⁄ √2

VRMS = Vm ⁄ √2 = 10 ⁄ √2

[latex]\begin{array}{l}{P_{avg}} = \dfrac{{20}}{{\sqrt 2 }} \times \dfrac{{10}}{{\sqrt 2 }} \times \cos 60^\circ \\\\{P_{avg}} = {\text{100 watt}}\end{array}[/latex]

 

Ques.15. Which one of the following is the S.I unit of the magnetic field strength? (SSC 2018 -S-1)

  1. Weber
  2. Tesla
  3. Ampere-Meter
  4. Ampere/Meter

Answer.4. Ampere/Meter

Explanation

MAGNETIC FIELD INTENSITY

Magnetic field Intensity (H) is also called as Magnetic field StrengthMagnetic IntensityMagnetic fieldMagnetic Force and Magnetization Force.

Magnetic Field Strength (H)  gives the quantitative measure of the strongness or weakness of the magnetic field.

magnetic field circuit

Suppose that a current of I amperes flows through a coil of N turns wound on a toroid of length I meters. The MMF is the total current linked to the magnetic circuit i.e  IN ampere-turns. If the magnetic circuit is homogeneous and of the uniform cross-sectional area, the MMF per meter length of the magnetic circuit is termed as the magneticfield strength, magnetic field intensity, or magnetizing force. It is represented by symbol H and is measured in ampere-turns per meter (At/m).

[latex display=”true”]H = \dfrac{{NI}}{l}{\text{ AT/m}}[/latex]

Hence the magnetic field Intensity can be defined as the ratio of applied MMF to the length of the path that it acts over.

Note:- Magnetic field intensity, H, is independent of the medium. Its value depends only on the number of turns N and the current I flowing in the coil.

Magnetic Field Strength is equivalent to the Voltage gradient in an Electrical Circuit.

 

Ques.16. What is the bandwidth (in kHz) of a series RLC circuit having the resistance, inductance, and capacitance of 80 Ohms, 2 mH, and 0.01 mF respectively? (SSC 2018 -S-1)

  1. 10
  2. 20
  3. 40
  4. 80

Answer.3. 40

Explanation

img.4 2

Given Resistance “R” = 80 Ω
Capacitance “C” = 0.01 mF
Inductance “L” = 2 mH = 2 × 10-3

The bandwidth of the series RLC circuit is given as

B.W = R/L

B.W = 80 ⁄ (2 × 10-3)

B.W = 40 Hz

 

Ques.17. A 3-phase star connected system is supplied by a line voltage of 440 V. The value of the current is 50 A. What is the power (in kW) consumed by the system, if the current lags the voltage by 45 degrees? (SSC 2018 -S-1)

  1. 8.95
  2. 24
  3. 26.94
  4. 47

Answer.3. 26.94

Explanation

Given

Line voltage VL = 440 V

Phase current Iph = 50 A

Phase angle φ = 45°

In star connection the line current and phase current are equal i.e Iph = IL = 50A

The power in 3-phase star connection is given as

P = √3 × VL × IL × cos45°

= √3 × 440 × 50 × cos45°

P = 26940.3 watt

Power = 26.94 kW

 

Ques.18. What is the magnitude of the reactive power (in kVAR) of a balanced 3-phase delta connected system having the line voltage of 400 V and the line current of 50 A and the phase difference between the voltage and current is 53.13 degrees? (SSC 2018 -S-1)

  1. 0.2771
  2. 2.771
  3. 27.71
  4. 277.1

Answer.3. 27.71

Explanation

Given

Line Voltage VL = 400 V

Line current IL = 50A

Phase angle φ = 53.13

The reactive power of three-phase AC circuit is given as

Q = √3 × VL × IL × sinφ

Q = √3 × 400 × 50 × sin 53.13°

Q = √3 × 400 × 50 × 0.8

Q = 27712.8 VAR

or

Q = 27.71 KVAR

 

Ques.19. What is the peak-to-peak value of a sinusoidal voltage (in V) having the average value of 100 V? (SSC 2018 -S-1)

  1. 141.44
  2. 159.98
  3. 282.88
  4. 314

Answer.4. 314

Explanation

The average value of a sin wave for the complete cycle i.e 2π is given as

Vavg = 2⁄π Vpeak

100 = 2⁄π Vpeak

VPeak = 157 V

Or

Vavg = 0.636 × VPeak

VPeak = 157

Now Peak to Peak Voltage is given as

VPK − VPK = 2 × VPeak

VPK − VPK = 2 × 157 = 314 V

VPK − VPK = 314 V

 

Ques.20.Determine the heat dissipated (in joule) through a conductor of 10 ohms resistance, when 1 A of current is flowing through the conductor for 5 seconds. (SSC 2018 -S-1)

  1. 50
  2. 40
  3. 20
  4. 60

Answer.1. 50

Explanation

If current flows for time t then the production of heat is given as

H = I2R.t

Where

I = current = 1 A

R = Resistance = 10 ohms

t = time = 5 sec

H = 12 × 10 × 5

H = 50 watt-sec or Joule

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