All Courses
Get the App Signup / Login
Sign in Open App
Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Electromagnetic Fields Theory (EMFT)  >  Test: Laplacian Operator - Electrical Engineering (EE) MCQ

Test: Laplacian Operator - Electrical Engineering (EE) MCQ


Test Description

10 Questions MCQ Test Electromagnetic Fields Theory (EMFT) - Test: Laplacian Operator

Test: Laplacian Operator for Electrical Engineering (EE) 2024 is part of Electromagnetic Fields Theory (EMFT) preparation. The Test: Laplacian Operator questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Laplacian Operator MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Laplacian Operator below.
Solutions of Test: Laplacian Operator questions in English are available as part of our Electromagnetic Fields Theory (EMFT) for Electrical Engineering (EE) & Test: Laplacian Operator solutions in Hindi for Electromagnetic Fields Theory (EMFT) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Laplacian Operator | 10 questions in 10 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Electromagnetic Fields Theory (EMFT) for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Laplacian Operator - Question 1
Save

The point form of Gauss law is given by, Div(V) = ρv
State True/False.

Detailed Solution for Test: Laplacian Operator - Question 1

Answer: a
Explanation: The integral form of Gauss law is ∫∫∫ ρv dv = V. Thus differential or point form will be Div(V) = ρv.

Test: Laplacian Operator - Question 2
Save

If a function is said to be harmonic, then

Detailed Solution for Test: Laplacian Operator - Question 2

Answer: c
Explanation: Though option a & b are also correct, for harmonic fields, the Laplacian of electric potential is zero. Now, Laplacian refers to Div(Grad V), which is zero for harmonic fields.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Laplacian Operator - Question 3
Save

The Poisson equation cannot be determined from Laplace equation. State True/False. 

Detailed Solution for Test: Laplacian Operator - Question 3

Answer: b
Explanation: The Poisson equation is a general case for Laplace equation. If volume charge density exists for a field, then (Del)2V= -ρv/ε, which is called Poisson equation.

Test: Laplacian Operator - Question 4
Save

Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation.
Detailed Solution for Test: Laplacian Operator - Question 4

Answer: a
Explanation: (Del)2V = 0
(Del)2V = (Del)2(25 sin θ), which is not equal to zero. Thus the field does not satisfy Laplace equation.

Test: Laplacian Operator - Question 5
Save

If a potential V is 2V at x = 1mm and is zero at x=0 and volume charge density is -106εo, constant throughout the free space region between x = 0 and x = 1mm. Calculate V at x = 0.5mm.
Detailed Solution for Test: Laplacian Operator - Question 5

Answer: d
Explanation: Del2(V) = -ρv/εo= +106
On integrating twice with respect to x, V = 106. (x2/2) + C1x + C2.
Substitute the boundary conditions, x = 0, V = 0 and x = 1mm, V = 2V in V,
C1 = 1500 and C2 = 0. At x = 0.5mm, we get, V = 0.875V.

Test: Laplacian Operator - Question 6
Save

Find the Laplace equation value of the following potential field
V = x2 – y2 + z2
Detailed Solution for Test: Laplacian Operator - Question 6

Answer: b
Explanation: (Del) V = 2x – 2y + 2z
(Del)2 V = 2 – 2 + 2= 2, which is non zero value. Thus it doesn’t satisfy Laplace equation.

Test: Laplacian Operator - Question 7
Save

Find the Laplace equation value of the following potential field
V = ρ cosφ + z
Detailed Solution for Test: Laplacian Operator - Question 7

Answer: a
Explanation: (Del)2 (ρ cosφ + z)= (cos φ/r) – (cos φ/r) + 0
= 0, this satisfies Laplace equation. The value is 0.

Test: Laplacian Operator - Question 8
Save

Find the Laplace equation value of the following potential field V = r cos θ + φ
Detailed Solution for Test: Laplacian Operator - Question 8

Answer: d
Explanation: (Del)2 (r cos θ + φ) = (2 cosθ/r) – (2 cosθ/r) + 0
= 0, this satisfies Laplace equation. This value is 0.

Test: Laplacian Operator - Question 9
Save

The Laplacian operator cannot be used in which one the following?
Detailed Solution for Test: Laplacian Operator - Question 9

Answer: d
Explanation: The first three options are general cases of Laplacian equation. Maxwell equation uses only divergence and curl, which is first order differential equation, whereas Laplacian operator is second order differential equation. Thus Maxwell equation will not employ Laplacian operator.

Test: Laplacian Operator - Question 10
Save

When a potential satisfies Laplace equation, then it is said to be
Detailed Solution for Test: Laplacian Operator - Question 10

Answer: d
Explanation: A field satisfying the Laplace equation is termed as harmonic field.

10 videos|45 docs|56 tests
Join Course
Information about Test: Laplacian Operator Page
In this test you can find the Exam questions for Test: Laplacian Operator solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Laplacian Operator, EduRev gives you an ample number of Online tests for practice

Top Courses for Electrical Engineering (EE)

Download as PDF

Top Courses for Electrical Engineering (EE)

Important Questions for Laplacian Operator

Find all the important questions for Laplacian Operator at EduRev.Get fully prepared for Laplacian Operator with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Laplacian Operator syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Laplacian Operator resources.

Laplacian Operator MCQs with Answers

Prepare for the Laplacian Operator within the Electrical Engineering (EE) exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Laplacian Operator Electromagnetic Fields Theory (EMFT)

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Laplacian Operator with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup