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Questions and Answers

What is the number of equations to be solved in the Newton Raphson method for this system?

  • 300
  • 298 (correct)
  • 275
  • 264

    • What value of reactive power ‘Qc’ is indicated as correct?

  • 212 kVA
  • 188 kVA
  • 200 kVA
  • 165 kVA (correct)

    • In the Gauss Seidel method, how many equations must be solved?

  • 150
  • 150 + n
  • 300
  • 149 (correct)

    • What is the extinction angle, β, for the single-phase one-pulse converter?

    <p>275°</p> Signup and view all the answers

    Which relationship correctly describes the supply voltage and frequency for the given converter?

    <p>V = 230 V at 50 Hz</p> Signup and view all the answers

    What is the net real power drawn by the load?

    <p>160 kW</p> Signup and view all the answers

    What is the formula for the net apparent power, S?

    <p>S = P^2 + Q^2</p> Signup and view all the answers

    How much is the load's apparent power at a power factor of 0.8 lagging?

    <p>200 kVA</p> Signup and view all the answers

    What is the minimum net apparent power S_min when Qc is at its highest value?

    <p>253.7 kVA</p> Signup and view all the answers

    If the reactive power QC ranges from 20 kVAR to 80 kVAR, what is the maximum value of Q drawn?

    <p>80 kVAR</p> Signup and view all the answers

    What current value IL is calculated using the given apparent power?

    <p>13.12 A</p> Signup and view all the answers

    In the context of the power system network, how many generator buses are present?

    <p>25 generator buses</p> Signup and view all the answers

    Which of the following components varies the reactive power Qc connected to the load?

    <p>Variable shunt capacitor bank</p> Signup and view all the answers

    What is the output at n = 2 when the input x(n) = {–1, 1, 0, 1} is applied?

    <p>0.5</p> Signup and view all the answers

    Which of the following describes the system with the impulse response h(t) = u(t + 1) / (t + 2)?

    <p>Non causal &amp; Stable</p> Signup and view all the answers

    If x(n) = u(n) is applied to two LTI systems with impulse responses h1(n) = δ(n) and h2(n) = δ(n) - δ(n - 2), what is the output?

    <p>δ(n - 1) + δ(n - 2)</p> Signup and view all the answers

    What is the value of x(2) when given the input x(n) = {–1, 1, 0, 1}?

    <p>0</p> Signup and view all the answers

    Given the equation y(n) = 0.2x(n) - 0.5x(n - 2) + 0.4x(n - 3), what term contributes negatively for n = 2?

    <p>0.5x(0)</p> Signup and view all the answers

    In a system characterized by h(t) = u(t + 1) / (t + 2), which of the following is true regarding stability?

    <p>The system is unstable.</p> Signup and view all the answers

    When substituting values into the equation y(2) = 0.2x(2) - 0.5x(0) + 0.4x(-1), what value is obtained from x(-1)?

    <p>1</p> Signup and view all the answers

    From the equations provided, what operation does the parameter 0.2 in y(n) = 0.2x(n) - 0.5x(n - 2) + 0.4x(n - 3) represent?

    <p>Gain applied to x(n).</p> Signup and view all the answers

    What is the form of the given differential equation?

    <p>A second-order linear equation</p> Signup and view all the answers

    What method is suggested for solving the differential equation?

    <p>Substituting ln x for t</p> Signup and view all the answers

    Which of the following is a characteristic of the auxiliary equation f(D) = 0?

    <p>It has different real roots</p> Signup and view all the answers

    What is the primary conclusion about the polarities of the voltages based on the diagram?

    <p>The polarities are irrelevant for the equation</p> Signup and view all the answers

    What are the roots of the auxiliary equation D^2 - 1 = 0?

    <p>D = 1 and D = -1</p> Signup and view all the answers

    The general solution of the given equations relies on which mathematical operation?

    <p>Finding roots of the characteristic equation</p> Signup and view all the answers

    Which of the following values for Vs is NOT one of the options provided?

    <p>1, 2V</p> Signup and view all the answers

    Which term best describes the nature of the given differential equation based on its construction?

    <p>Homogeneous equation</p> Signup and view all the answers

    What is the correct charge density at the origin from the given electric field?

    <p>8.85 pC/m3</p> Signup and view all the answers

    To confirm that the given electric field is static, which mathematical operation is checked?

    <p>Curl of E</p> Signup and view all the answers

    What does it indicate if the curl of the electric field is zero?

    <p>The field is static</p> Signup and view all the answers

    In the provided electric field expression E = (x^2ax + yay + 2z^3az) N/C, which component has the highest degree of dependence on z?

    <p>2z^3az</p> Signup and view all the answers

    What is the range of the charge density value rounded off to two decimal places?

    <p>8.84 to 8.86 pC/m3</p> Signup and view all the answers

    What type of symmetry is referenced for the junction nodes relating to potential?

    <p>Reflective symmetry</p> Signup and view all the answers

    What is the value of $R_{ab}$ given in the content about resistance?

    <p>0.8 Ω</p> Signup and view all the answers

    Which of the following indicates a problem with the formulation of the electric field?

    <p>Non-static condition</p> Signup and view all the answers

    What does the equation $ abla imes E = 0$ signify about the electric field E?

    <p>It is a static electric field.</p> Signup and view all the answers

    Which mathematical expression represents the curl of the electric field E?

    <p>$ abla imes E = 0$</p> Signup and view all the answers

    In the context of the given equations, what does the symbol $ abla$ represent?

    <p>The gradient operator.</p> Signup and view all the answers

    What type of system does a balanced bridge refer to in the given content?

    <p>An electrical circuit setup used to measure resistance.</p> Signup and view all the answers

    Which of the following represents a condition for static equilibrium in electric fields?

    <p>$ abla imes E = 0$</p> Signup and view all the answers

    What is the result of the differential expression $ rac{ ext{d}y}{ ext{d}z}$ in the equilibrium equations?

    <p>Represents the relationship between y and z directions.</p> Signup and view all the answers

    Which aspect of the electric field does the term static imply?

    <p>Constant over time.</p> Signup and view all the answers

    What do the variables $a_x$, $a_y$, and $a_z$ typically represent in the equations provided?

    <p>Acceleration rates in respective axes.</p> Signup and view all the answers

    What is the purpose of the expressions $ rac{ ext{d}y}{ ext{d}z}$ and $ rac{ ext{d}E}{ ext{d}t}$ in the context of electric fields?

    <p>To determine relationships between variables.</p> Signup and view all the answers

    What does the notation $CLTF$ refer to in control systems?

    <p>Closed Loop Transfer Function.</p> Signup and view all the answers

    Study Notes

    General Aptitude (GA) Questions

    • Fill in the blank:

      • Jobs are hard to come by.

    • Choose the correct word:

      • If you had gone to see him, he would have been delighted.
      • Monkey: Troop :: bacteria : Colony

    • Word Relationship:

      • Monkey: Troop :: bacteria: Colony

    • Coin Calculation:

      • 50 one-rupee coins, 70 fifty-paise coins, and 120 twenty-five paise coins could total ₹115.

    GATE-2020 Electrical Engineering (EE)

    • Meaning of Hegemony:

      • Dominance (control over another country or group of people)

    • Critical Reading:

      • Critical reading is a demanding, essential process that involves active engagement with the text.

    • Anil's House Direction:

      • Anil ends up 25 meters west of his starting point.

    • Profit Sharing in Partnership:

      • A's share of the profit is ₹80.
      • B's share of the profit is ₹76.
      • C's share of the profit is ₹98.

    • Loan Interest:

      • ₹10160 was lent at 12%.

    • Sector Angle for Operators:

      • The sector angle for operators increased by 4° in 1995 compared to 1990.

    • Transformer with varying power factor load:

      • Core losses remain unchanged in a transformer supplying a leading power factor load when compared to no load.

    • Induced EMF:

      • The induced emf is 1600V. (10πr/sec)

    • kW, synchronous motor:

      • The synchronous impedance per phase is 8 ohms with negligible resistance.

    • ESE-Mains Classes:

      • Classes start in Feb 2020.
      • Students who qualify in Prelims can get a 100% fee waiver.

    • GATE-PSUs-2021 Batches

      • Short Term and Regular Batches in Hyderabad and Delhi for 28th April to 20th May 2020.

    • Boolean Function Duality and Complement:

      • The dual and complement of a Boolean function 'f = A+B' are the same.

    • Address for Next Instruction:

      • The next instruction in the program is fetched from address 1110H.

    • Electrical Engineering (EE):

      • The output of a single phase full wave half controlled rectifier with 45 degree delay is 0.8869

    • Voltage:

      • The voltage of 220V (LL) with source reactance of 20 ohms and protected by an over-current relay setting of 80% yields 148.47 km.

    • Load Current in a Circuit:

      • The load current in the given circuit is 4.66 kA.

    • Thevinin's Equivalent Resistance:

      • The Thevinin's equivalent resistance is 16 ohms

    • RMS value of Short Circuit Current:

      • The RMS value of short circuit current is 6.06 A.

    • Time Constant of Current in a Circuit:

      • The time constant in this circuit is 1 second.

    • Electric Potential Calculation at a Point:

      • The electric potential at the origin (given electric field in region outside r=r2) is Kr1^2 /2r2.

    • Discrete Sequence Calculation:

      • y(ej) = 0.984

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