NEET Exam > NEET Questions > A conducting circular loop made of a thin wi...
Start Learning for Free
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:
- a)1.4 × 10–4 mC
- b)7.0 × 10–4 mC
- c)21 × 10–4 mC
- d)6 × 10–4 mC
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m...
Net charge
= 1.4 × 10– 4 mC
Free Test
FREE
| Start Free Test |
Community Answer
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m...
Given information:
- Area of the circular loop: 3.5 × 10^(-3) m^2
- Resistance of the loop: 10 Ω
- Time-dependent magnetic field: B(t) = (0.4 T) sin(50πt)
- Time interval: t = 0 s to t = 10 ms
To find:
The net charge flowing through the loop during the given time interval.
Formula:
The emf induced in a conducting loop is given by Faraday's Law of Electromagnetic Induction:
ε = -dΦ/dt
Where ε is the induced emf and Φ is the magnetic flux through the loop.
The magnetic flux through the loop is given by the formula:
Φ = B(t) * A
Where B(t) is the magnetic field at time t and A is the area of the loop.
The current flowing through the loop is given by Ohm's Law:
I = V/R
Where I is the current, V is the induced emf, and R is the resistance of the loop.
The charge flowing through the loop is given by:
Q = I * t
Where Q is the charge, I is the current, and t is the time interval.
Solution:
1. Calculate the magnetic flux at t = 0 s:
Φ_1 = B(0) * A
= (0.4 T) * sin(50π * 0) * 3.5 × 10^(-3) m^2
= 0
2. Calculate the magnetic flux at t = 10 ms:
Φ_2 = B(10 ms) * A
= (0.4 T) * sin(50π * (10 × 10^(-3))) * 3.5 × 10^(-3) m^2
3. Calculate the change in magnetic flux:
ΔΦ = Φ_2 - Φ_1
4. Calculate the induced emf:
ε = -dΦ/dt
= -ΔΦ / (10 ms - 0 s)
5. Calculate the current:
I = ε / R
6. Calculate the charge:
Q = I * t
= (ε / R) * (10 ms - 0 s)
Final answer:
The net charge flowing through the loop during t = 0 s and t = 10 ms is approximately 1.4 × 10^(-4) mC. Therefore, the correct answer is option A.
- Area of the circular loop: 3.5 × 10^(-3) m^2
- Resistance of the loop: 10 Ω
- Time-dependent magnetic field: B(t) = (0.4 T) sin(50πt)
- Time interval: t = 0 s to t = 10 ms
To find:
The net charge flowing through the loop during the given time interval.
Formula:
The emf induced in a conducting loop is given by Faraday's Law of Electromagnetic Induction:
ε = -dΦ/dt
Where ε is the induced emf and Φ is the magnetic flux through the loop.
The magnetic flux through the loop is given by the formula:
Φ = B(t) * A
Where B(t) is the magnetic field at time t and A is the area of the loop.
The current flowing through the loop is given by Ohm's Law:
I = V/R
Where I is the current, V is the induced emf, and R is the resistance of the loop.
The charge flowing through the loop is given by:
Q = I * t
Where Q is the charge, I is the current, and t is the time interval.
Solution:
1. Calculate the magnetic flux at t = 0 s:
Φ_1 = B(0) * A
= (0.4 T) * sin(50π * 0) * 3.5 × 10^(-3) m^2
= 0
2. Calculate the magnetic flux at t = 10 ms:
Φ_2 = B(10 ms) * A
= (0.4 T) * sin(50π * (10 × 10^(-3))) * 3.5 × 10^(-3) m^2
3. Calculate the change in magnetic flux:
ΔΦ = Φ_2 - Φ_1
4. Calculate the induced emf:
ε = -dΦ/dt
= -ΔΦ / (10 ms - 0 s)
5. Calculate the current:
I = ε / R
6. Calculate the charge:
Q = I * t
= (ε / R) * (10 ms - 0 s)
Final answer:
The net charge flowing through the loop during t = 0 s and t = 10 ms is approximately 1.4 × 10^(-4) mC. Therefore, the correct answer is option A.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer?
Question Description
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer?.
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A conducting circular loop made of a thin wire, has area 3.5 × 10 –3m2 and resistance 10W. It is placed perpendicular to a time dependent magnetic field B (t) = (0.4T) sin (50pt). The net charge flowing through the loop during t = 0 s and t = 10 ms is close to:a)1.4 × 10–4 mCb)7.0 × 10–4 mCc)21 × 10–4 mCd)6 × 10–4 mCCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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