Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > What is the electric field strength at a dist...
Start Learning for Free
What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?
- a)450 kV/m
- b)236 kV/m
- c)525 kV/m
- d)328 kV/m
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the electric field strength at a distance of 200 mm from a cha...
Most Upvoted Answer
What is the electric field strength at a distance of 200 mm from a cha...
The electric field strength at a distance from a charge can be calculated using the formula:
\[
E = \frac{Q}{{4\pi\epsilon_0 r^2}}
\]
Where:
- E is the electric field strength
- Q is the charge
- \(\epsilon_0\) is the permittivity of free space
- r is the distance from the charge
Given:
- Q = 2 x 10^(-6) Coulomb
- r = 200 mm = 0.2 m (since 1 mm = 0.001 m)
We can substitute these values into the formula to calculate the electric field strength.
\[
E = \frac{{2 \times 10^(-6)}}{{4\pi\epsilon_0 \times (0.2)^2}}
\]
The permittivity of free space, \(\epsilon_0\), is a constant equal to 8.854 x 10^(-12) F/m.
\[
E = \frac{{2 \times 10^(-6)}}{{4\pi \times 8.854 \times 10^(-12) \times (0.2)^2}}
\]
Simplifying the expression further:
\[
E = \frac{{2 \times 10^(-6)}}{{4 \times 3.14159 \times 8.854 \times 10^(-12) \times 0.04}}
\]
\[
E = \frac{{2 \times 10^(-6)}}{{4 \times 3.14159 \times 8.854 \times 10^(-14)}}
\]
\[
E = \frac{{2 \times 10^(-6)}}{{1.1131 \times 10^(-12)}}
\]
\[
E = \frac{{2}}{{1.1131}} \times 10^(-6+12)
\]
\[
E = 1.795 \times 10^6 V/m
\]
Converting this value to kilovolts per meter (kV/m):
\[
E = 1.795 \times 10^3 kV/m
\]
Rounding off to the nearest whole number, the electric field strength at a distance of 200 mm from the charge is approximately 1.8 kV/m.
Therefore, none of the given options match the correct answer.
\[
E = \frac{Q}{{4\pi\epsilon_0 r^2}}
\]
Where:
- E is the electric field strength
- Q is the charge
- \(\epsilon_0\) is the permittivity of free space
- r is the distance from the charge
Given:
- Q = 2 x 10^(-6) Coulomb
- r = 200 mm = 0.2 m (since 1 mm = 0.001 m)
We can substitute these values into the formula to calculate the electric field strength.
\[
E = \frac{{2 \times 10^(-6)}}{{4\pi\epsilon_0 \times (0.2)^2}}
\]
The permittivity of free space, \(\epsilon_0\), is a constant equal to 8.854 x 10^(-12) F/m.
\[
E = \frac{{2 \times 10^(-6)}}{{4\pi \times 8.854 \times 10^(-12) \times (0.2)^2}}
\]
Simplifying the expression further:
\[
E = \frac{{2 \times 10^(-6)}}{{4 \times 3.14159 \times 8.854 \times 10^(-12) \times 0.04}}
\]
\[
E = \frac{{2 \times 10^(-6)}}{{4 \times 3.14159 \times 8.854 \times 10^(-14)}}
\]
\[
E = \frac{{2 \times 10^(-6)}}{{1.1131 \times 10^(-12)}}
\]
\[
E = \frac{{2}}{{1.1131}} \times 10^(-6+12)
\]
\[
E = 1.795 \times 10^6 V/m
\]
Converting this value to kilovolts per meter (kV/m):
\[
E = 1.795 \times 10^3 kV/m
\]
Rounding off to the nearest whole number, the electric field strength at a distance of 200 mm from the charge is approximately 1.8 kV/m.
Therefore, none of the given options match the correct answer.
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
What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer?
Question Description
What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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 What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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 What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer?.
What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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 What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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 What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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 What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the electric field strength at a distance of 200 mm from a charge of 2 x 10-6 Coulomb, in vacuum?a)450 kV/mb)236 kV/mc)525 kV/md)328 kV/mCorrect answer is option 'A'. 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