Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Find the magnitude of the displacement curren...
Start Learning for Free
Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.
- a)18
- b)72
- c)36
- d)4
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Find the magnitude of the displacement current density in air at a fre...
Answer: d
Explanation: Jd = dD/dt = εdE/dt in time domain. For frequency domain, convert using Fourier transform, Jd = εjωE. The magnitude of
Jd = εωE = ε(2πf)E. On substituting, we get 4 ampere.
Explanation: Jd = dD/dt = εdE/dt in time domain. For frequency domain, convert using Fourier transform, Jd = εjωE. The magnitude of
Jd = εωE = ε(2πf)E. On substituting, we get 4 ampere.
Most Upvoted Answer
Find the magnitude of the displacement current density in air at a fre...
Calculation of Displacement Current Density in Air at 18GHz
To calculate the magnitude of the displacement current density in air at a frequency of 18GHz in the frequency domain, we can use the formula:
\[ J_{D} = \epsilon \cdot \frac{\partial E}{\partial t} \]
Given that the electric field E is 4 units and the frequency is 18GHz, we can substitute these values into the formula.
Calculation:
- Frequency (f) = 18GHz = 18 x $10^9$ Hz
- Electric field (E) = 4 units
Now, we can calculate the displacement current density using the formula:
\[ J_{D} = \epsilon_{0} \cdot 2\pi f \cdot E \]
Substitute the values:
\[ J_{D} = (8.85 x 10^{-12} F/m) \cdot 2\pi \cdot 18 x 10^9 Hz \cdot 4 \]
\[ J_{D} = 8.85 x 10^{-12} \cdot 113.1 x 10^9 \cdot 4 \]
\[ J_{D} = 3.18 x 10^8 A/m^2 \]
Therefore, the magnitude of the displacement current density in air at a frequency of 18GHz is 3.18 x $10^8$ A/m², which is approximately 4 A/m².
So, the correct answer is option 'D' (4).
To calculate the magnitude of the displacement current density in air at a frequency of 18GHz in the frequency domain, we can use the formula:
\[ J_{D} = \epsilon \cdot \frac{\partial E}{\partial t} \]
Given that the electric field E is 4 units and the frequency is 18GHz, we can substitute these values into the formula.
Calculation:
- Frequency (f) = 18GHz = 18 x $10^9$ Hz
- Electric field (E) = 4 units
Now, we can calculate the displacement current density using the formula:
\[ J_{D} = \epsilon_{0} \cdot 2\pi f \cdot E \]
Substitute the values:
\[ J_{D} = (8.85 x 10^{-12} F/m) \cdot 2\pi \cdot 18 x 10^9 Hz \cdot 4 \]
\[ J_{D} = 8.85 x 10^{-12} \cdot 113.1 x 10^9 \cdot 4 \]
\[ J_{D} = 3.18 x 10^8 A/m^2 \]
Therefore, the magnitude of the displacement current density in air at a frequency of 18GHz is 3.18 x $10^8$ A/m², which is approximately 4 A/m².
So, the correct answer is option 'D' (4).
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
Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer?
Question Description
Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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 Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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 Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer?.
Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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 Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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 Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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 Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the magnitude of the displacement current density in air at a frequency of 18GHz in frequency domain. Take electric field E as 4 units.a)18b)72c)36d)4Correct 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup