Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? - EduRev Electrical Engineering (EE) Question

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Consider a solid sphere of radius 5 cm made o...

Join the Discussion on the App

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.

a)
uniformly over the entire volume of the sphere
b)
uniformly over the outer surface of the sphere
c)
concentrated around the centre of the sphere
d)
along a straight line passing through the centre of the sphere

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

Practice Test: Gate Electrical Engineering GATE 2017 Paper

Attempt Test

Attempt this Test

Verified Answer

Consider a solid sphere of radius 5 cm made of a perfect electric cond...

For a perfect conductor the charge is present only on the surface.

View all questions of this test

Most Upvoted Answer

Consider a solid sphere of radius 5 cm made of a perfect electric cond...

Answer:

To determine the distribution of electrons on the solid sphere, we need to consider the behavior of electric charges on a conductor. When a conductor is in electrostatic equilibrium, the charges reside on the outer surface of the conductor. This is known as the "Faraday Cage" effect.

Explanation:

1. Electric Charge Distribution on a Conductor:

- In a conductor, the electrons are free to move within the material. When a conductor is brought into an electric field, the free electrons redistribute themselves on the surface of the conductor until the electric field inside the conductor becomes zero.
- This redistribution of electrons leads to an excess of negative charge on the surface of the conductor, creating an electric field that cancels out the electric field due to the external charges.
- In electrostatic equilibrium, the electric field inside the conductor is zero, and the charges reside on the outer surface of the conductor.

2. Solid Sphere of Perfect Electric Conductor:

- In the given scenario, we have a solid sphere made of a perfect electric conductor. Since it is a perfect conductor, the electrons are free to move within the material.
- When one million electrons are added to the sphere, they will redistribute themselves on the outer surface of the sphere due to the electric repulsion between them.
- The excess negative charge will accumulate on the outer surface of the sphere, while the inner volume of the sphere will have a neutral charge distribution.
- This distribution is possible because the sphere is a conductor, allowing the electrons to move freely on its surface and redistribute themselves to cancel out the electric field inside the conductor.

3. Distribution of Electrons:

- As a result, the electrons will be uniformly distributed over the outer surface of the sphere. This means that each unit area on the outer surface will have an equal number of electrons.
- The distribution will be such that the electric field inside the sphere is zero, and the charges on the outer surface create an electric field that cancels out the electric field due to the added electrons.
- The electrons will not be concentrated around the center of the sphere because the electric repulsion between them will cause them to spread out evenly on the outer surface.
- Similarly, the electrons will not be distributed along a straight line passing through the center of the sphere because they will repel each other and spread out over the curved surface of the sphere.

Hence, the correct answer is option 'B' - the electrons will be uniformly distributed over the outer surface of the sphere.

Answered by Machine Experts · View profile

Attention Electrical Engineering (EE) Students!

To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).

Network Theory (Electric Circuits)

GATE Electrical Engineering (EE) Mock Test Series 2025

General Aptitude for GATE

GATE Notes & Videos for Electrical Engineering

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Electrical Engineering (EE) exam

Similar Electrical Engineering (EE) Doubts

it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

View answer

A single-phase transmission line has two conductors each of 10mm radius. These are fixed at a center-to-center distance of 1m in a horizontal plane. This is now converted to a three-phase transmission line by introducing a third conductor of the same radius. This conductor is fixed at an equal distance D from the two single-phase conductors. The three-phase line is fully transposed. The positive sequence inductance per phase of the three-phase system is to be 5% more than that of the inductance per conductor of the single-phase system. The distance D, in meters, is _______. Correct answer is between '1.41,1.47'. Can you explain this answer?

View answer

capacitance of the line is proportional to the length performance of short having a length less than 80 kilometres and low voltage transmission line In the case of high voltage and long lines it is considered as one of the most important parameters Capacitance of two wire line the capacitance of the transmission line along with the conductances forms the shunted mittens the conductance in the transmission line is because of the leakage over the surface of the conductor Considered a line consisting of two conductors and the each of radius are the distance between the conductors being de-shown in the diagram below minus the potential difference between the conductors and the is where QA charge on conductor at QV Related: Capacitance of Transmission Lines?

View answer

The density and mobility of electrons in a conductor are respectively 1020/cm3 and 800 cm2/V-s. If a uniform electric field of 1 V/cm exists across this conductor, then the electron current density would be approximately

View answer

Consider an overhead transmission line with 3-phase, 50 Hz balanced system with conductors located at the vertices of an equilateral triangle of length Dab= Dbc= Dca= 1m as shown in figure below. The resistance of the conductors are neglected. The geometric mean radius (GMR) of each conductor is 0.01m. Neglecting the effect of ground, the magnitude of positive sequence reactance in Ω/ km (rounded off to three decimal places) is _______ Correct answer is between '0.271,0.301'. Can you explain this answer?

View answer

Top Courses for Electrical Engineering (EE)View all

Network Theory (Electric Circuits)

GATE Electrical Engineering (EE) Mock Test Series 2025

General Aptitude for GATE

GATE Notes & Videos for Electrical Engineering

Engineering Mathematics

Top Courses for Electrical Engineering (EE)

View all

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer?.

Solutions for Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.

Here you can find the meaning of Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.a)uniformly over the entire volume of the sphereb)uniformly over the outer surface of the spherec)concentrated around the centre of the sphered)along a straight line passing through the centre of the sphereCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.

Explore Courses for Electrical Engineering (EE) exam