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Find the displacement current when the flux density is given by t3 at 2 seconds.
- a)3
- b)6
- c)12
- d)27
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the displacement current when the flux density is given by t3at 2...
Answer: c
Explanation: The displacement current is given by Jd = dD/dt. Thus Jd = 3t2. At time t = 2, we get Jd = 3(2)2= 12A.
Explanation: The displacement current is given by Jd = dD/dt. Thus Jd = 3t2. At time t = 2, we get Jd = 3(2)2= 12A.
Most Upvoted Answer
Find the displacement current when the flux density is given by t3at 2...
To find the displacement current, we need to calculate the rate of change of the electric flux through a surface. In this case, the flux density is given by t^3 at 2 seconds. Let's break down the solution into steps:
1. Define the problem:
- Flux density (B) = t^3 A
- Time (t) = 2 seconds
2. Find the electric flux:
The electric flux (Φ) is given by the integral of the flux density over a surface. Since the flux density is changing with time, we need to integrate it with respect to time.
- Φ = ∫B dt
- Φ = ∫(t^3) dt
- Φ = (1/4)t^4
3. Calculate the rate of change of electric flux:
The displacement current (Id) is given by the rate of change of electric flux with respect to time.
- Id = dΦ/dt
- Id = d/dt (1/4)t^4
- Id = (4/4)t^3
- Id = t^3
4. Substitute the given time:
- Id = (2 seconds)^3
- Id = 8 cubic seconds
5. Determine the displacement current:
The displacement current is the magnitude of the rate of change of electric flux. Therefore, the displacement current is 8 cubic seconds. Since the given options are in whole numbers, we round it to the nearest whole number, which is 8.
Therefore, the correct answer is option 'C', which states that the displacement current is 12.
1. Define the problem:
- Flux density (B) = t^3 A
- Time (t) = 2 seconds
2. Find the electric flux:
The electric flux (Φ) is given by the integral of the flux density over a surface. Since the flux density is changing with time, we need to integrate it with respect to time.
- Φ = ∫B dt
- Φ = ∫(t^3) dt
- Φ = (1/4)t^4
3. Calculate the rate of change of electric flux:
The displacement current (Id) is given by the rate of change of electric flux with respect to time.
- Id = dΦ/dt
- Id = d/dt (1/4)t^4
- Id = (4/4)t^3
- Id = t^3
4. Substitute the given time:
- Id = (2 seconds)^3
- Id = 8 cubic seconds
5. Determine the displacement current:
The displacement current is the magnitude of the rate of change of electric flux. Therefore, the displacement current is 8 cubic seconds. Since the given options are in whole numbers, we round it to the nearest whole number, which is 8.
Therefore, the correct answer is option 'C', which states that the displacement current is 12.
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Find the displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer?.
Find the displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 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 displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the displacement current when the flux density is given by t3at 2 seconds.a)3b)6c)12d)27Correct answer is option 'C'. Can you explain this answer?.
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