Untitled Quiz
47 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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° (A)</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 (B)</p> Signup and view all the answers

What is the net real power drawn by the load?

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

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

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

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

<p>13.12 A (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 (A)</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 (C)</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 (A)</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 (C)</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) (A)</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 (C)</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) (D)</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. (A)</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 (A)</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). (B)</p> Signup and view all the answers

What is the form of the given differential equation?

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

What method is suggested for solving the differential equation?

<p>Substituting ln x for t (D)</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 (D)</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 (A)</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 (C)</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 (B)</p> Signup and view all the answers

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

<p>1, 2V (D)</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 (B)</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 (D)</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 (C)</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 (A)</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 (C)</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 (C)</p> Signup and view all the answers

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

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

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

<p>0.8 Ω (C)</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 (D)</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. (D)</p> Signup and view all the answers

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

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

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

<p>The gradient operator. (D)</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. (A)</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$ (C)</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. (C)</p> Signup and view all the answers

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

<p>Constant over time. (C)</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. (D)</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. (A)</p> Signup and view all the answers

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

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

Flashcards

Load flow analysis

A method used to analyze the electrical power system's steady-state behavior.

Gauss Seidel method

An iterative method for solving simultaneous equations in load flow analysis.

Newton-Raphson method

Another iterative method for solving simultaneous equations in load flow analysis, typically faster than Gauss Seidel.

Number of equations in Gauss Seidel method

The number of equations to solve using the Gauss Seidel method is one less than the total number (n) of elements in the system.

Signup and view all the flashcards

Number of equations in Newton Raphson method

The number of equations to solve using Newton-Raphson method is two times the number of elements minus two.

Signup and view all the flashcards

Single phase one pulse converter

A specific type of converter circuit that converts AC power to DC power using a single pulse.

Signup and view all the flashcards

Peak Inverse Voltage (PIV)

The maximum voltage that appears across a diode or thyristor in circuits that convert alternating current (AC) to direct current (DC).

Signup and view all the flashcards

Net real power (P)

The actual power used by the load, measured in kW.

Signup and view all the flashcards

Net reactive power (Q)

Power that fluctuates back and forth between the source and load, measured in kVAR.

Signup and view all the flashcards

Net apparent power (S)

The total power of the system, measured in kVA, combining real and reactive power.

Signup and view all the flashcards

Power factor (cos ɸ)

A measure of how effectively electrical power is used by the load.

Signup and view all the flashcards

Minimum apparent power (Smin)

The lowest possible apparent power drawn from a system for given conditions; it occurs at a specified reactive power (Qc value).

Signup and view all the flashcards

Variable shunt capacitor bank (Qc)

A capacitor bank with adjustable reactive power capacity, connected to a load.

Signup and view all the flashcards

Load apparent power (200 kVA)

The total power consumed by the load, including both real and reactive components.

Signup and view all the flashcards

Reactive power range (20 kVAR ≤ Qc ≤ 80 kVAR)

The permissible range of reactive power that the capacitor bank can handle.

Signup and view all the flashcards

150-bus power system network

An intricate electrical system with 150 connected nodes.

Signup and view all the flashcards

Generator buses (25)

Nodes in the network where power is generated.

Signup and view all the flashcards

Load buses

Nodes where power is consumed.

Signup and view all the flashcards

Electric Field

A vector field that describes the force experienced by a positive test charge at any point in space.

Signup and view all the flashcards

Charge Density

The amount of electric charge per unit volume.

Signup and view all the flashcards

Static Electric Field

An electric field that does not change with time. Curl of E is zero.

Signup and view all the flashcards

Mirror Image Symmetry

A problem-solving technique that utilizes symmetry in a system, often applied to simplify calculations.

Signup and view all the flashcards

Potential

A scalar quantity that describes the potential energy per unit charge.

Signup and view all the flashcards

Joint Nodes

Points in a circuit where electric potential remains constant.

Signup and view all the flashcards

Differential Equation

An equation that relates a function with its derivatives.

Signup and view all the flashcards

Auxiliary Equation (for D.E.)

An algebraic equation derived from the differential equation by replacing derivatives with powers of a variable (often 'D').

Signup and view all the flashcards

Real Roots (in Aux. Eq.)

Roots of the auxiliary equation that are real numbers.

Signup and view all the flashcards

Differential operator 'D'

Used in differential equations to represent the derivative operation.

Signup and view all the flashcards

Static Electric Field (E)

An electric field that does not change with time.

Signup and view all the flashcards

Delta-to-star (wye) conversion

A method to transform a three-phase, delta-connected network into an equivalent star (wye)-connected network. This helps simplify circuit analysis.

Signup and view all the flashcards

Balanced bridge circuit

A circuit configuration in which the impedances are balanced, leading to specific simplified analysis.

Signup and view all the flashcards

Divergence of E (E)

A mathematical operation that determines how much a vector field (like an electric field) diverges at a given point in space.

Signup and view all the flashcards

Vector calculus application

Mathematical tools used to define and solve problems in fields, such as physics and engineering.

Signup and view all the flashcards

Output at n=2

The output value of a discrete-time system when the input is applied at a given time step.

Signup and view all the flashcards

Linear Time-Invariant (LTI) system

A system whose output is a linear combination of the input, and does not change over time.

Signup and view all the flashcards

Impulse response h(t)

The response of a system to a Dirac delta input (impulse).

Signup and view all the flashcards

Causal System

A system's output depends only on present and past inputs; the output does not depend on future inputs.

Signup and view all the flashcards

Unstable System

A system for which the output grows without bound when the input is bounded.

Signup and view all the flashcards

Cascade Connection

Connecting two or more systems one after the other, where the output of one becomes the input to the next.

Signup and view all the flashcards

Impulse response h1(n)

The output of the system when the input is an impulse at time n.

Signup and view all the flashcards

Input x(n) = u(n)

A discrete-time input (signal) equal to 1 for all non-negative time steps and 0 otherwise.

Signup and view all the flashcards

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. (10Ï€r/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

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Untitled Quiz
6 questions

Untitled Quiz

AdoredHealing avatar
AdoredHealing
Untitled Quiz
37 questions

Untitled Quiz

WellReceivedSquirrel7948 avatar
WellReceivedSquirrel7948
Untitled Quiz
55 questions

Untitled Quiz

StatuesquePrimrose avatar
StatuesquePrimrose
Untitled Quiz
50 questions

Untitled Quiz

JoyousSulfur avatar
JoyousSulfur
Use Quizgecko on...
Browser
Browser