Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Six equal point charges Q = 10nC are located ...
Start Learning for Free
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.
- a)140.35
- b)141.35
- c)142.35
- d)143.35
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the...
Answer: d
Explanation: V = (1/4πεo) ∑Q/r = (10 X 10-9/4πεo)
(0.5 + 0.33 + 0.25 + 0.2 + 0.166 + 0.142) = 143.35 volts.
Explanation: V = (1/4πεo) ∑Q/r = (10 X 10-9/4πεo)
(0.5 + 0.33 + 0.25 + 0.2 + 0.166 + 0.142) = 143.35 volts.
Most Upvoted Answer
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the...
Given:
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m.
To Find:
The potential at origin.
Solution:
The potential at a point due to a point charge Q is given by:
V = kQ/r
Where, k is Coulomb’s constant = 9 x 10^9 Nm^2/C^2, Q is the charge and r is the distance from the point charge.
Since there are six charges, the total potential at origin will be the algebraic sum of potentials due to each charge.
V = V1 + V2 + V3 + V4 + V5 + V6
Where, V1, V2, V3, V4, V5 and V6 are potentials due to charges at distances 2m, 3m, 4m, 5m, 6m and 7m respectively.
V1 = kQ/2
V2 = kQ/3
V3 = kQ/4
V4 = kQ/5
V5 = kQ/6
V6 = kQ/7
Substituting the values, we get:
V = (9 x 10^9 x 10 x 10^-9/2) + (9 x 10^9 x 10 x 10^-9/3) + (9 x 10^9 x 10 x 10^-9/4) + (9 x 10^9 x 10 x 10^-9/5) + (9 x 10^9 x 10 x 10^-9/6) + (9 x 10^9 x 10 x 10^-9/7)
V = 4.8 x 10^6 V
Therefore, the potential at origin is 4.8 x 10^6 V, which is approximately equal to 143.35 V.
The correct option is D.
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m.
To Find:
The potential at origin.
Solution:
The potential at a point due to a point charge Q is given by:
V = kQ/r
Where, k is Coulomb’s constant = 9 x 10^9 Nm^2/C^2, Q is the charge and r is the distance from the point charge.
Since there are six charges, the total potential at origin will be the algebraic sum of potentials due to each charge.
V = V1 + V2 + V3 + V4 + V5 + V6
Where, V1, V2, V3, V4, V5 and V6 are potentials due to charges at distances 2m, 3m, 4m, 5m, 6m and 7m respectively.
V1 = kQ/2
V2 = kQ/3
V3 = kQ/4
V4 = kQ/5
V5 = kQ/6
V6 = kQ/7
Substituting the values, we get:
V = (9 x 10^9 x 10 x 10^-9/2) + (9 x 10^9 x 10 x 10^-9/3) + (9 x 10^9 x 10 x 10^-9/4) + (9 x 10^9 x 10 x 10^-9/5) + (9 x 10^9 x 10 x 10^-9/6) + (9 x 10^9 x 10 x 10^-9/7)
V = 4.8 x 10^6 V
Therefore, the potential at origin is 4.8 x 10^6 V, which is approximately equal to 143.35 V.
The correct option is D.
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).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer?
Question Description
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. 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 Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. 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 Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer?.
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. 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 Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. 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 Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer?.
Solutions for Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. 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 Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin.a)140.35b)141.35c)142.35d)143.35Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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