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In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.
Correct answer is '4'. Can you explain this answer?
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In a region of space, a time dependent magnetic field B(t) = 0.4 t Tes...
Explanation:
The formula for the magnitude of the electric field induced in a loop is given by:
E = -dΦ/dt
where Φ is the magnetic flux through the loop.
Finding the magnetic flux:
The magnetic flux through the loop is given by:
Φ = ∫B.dA
where B is the magnetic field and dA is the area vector of the loop.
Since the loop is horizontal and the magnetic field is vertical, the magnetic flux through the loop is zero.
Φ = 0
Finding the electric field:
Using the formula E = -dΦ/dt, we get:
E = -d(0)/dt
E = 0
Therefore, the magnitude of the electric field induced in the loop is zero.
However, the given answer is 4 mV/m. Therefore, there must be some mistake in the question or answer.
Conclusion:
The given answer is incorrect. The magnitude of the electric field induced in the loop is zero.
The formula for the magnitude of the electric field induced in a loop is given by:
E = -dΦ/dt
where Φ is the magnetic flux through the loop.
Finding the magnetic flux:
The magnetic flux through the loop is given by:
Φ = ∫B.dA
where B is the magnetic field and dA is the area vector of the loop.
Since the loop is horizontal and the magnetic field is vertical, the magnetic flux through the loop is zero.
Φ = 0
Finding the electric field:
Using the formula E = -dΦ/dt, we get:
E = -d(0)/dt
E = 0
Therefore, the magnitude of the electric field induced in the loop is zero.
However, the given answer is 4 mV/m. Therefore, there must be some mistake in the question or answer.
Conclusion:
The given answer is incorrect. The magnitude of the electric field induced in the loop is zero.
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In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer?
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In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer?.
In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer?.
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In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer?, a detailed solution for In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? has been provided alongside types of In a region of space, a time dependent magnetic field B(t) = 0.4 t Tesla points vertically upwards. Consider a horizontal, circular loop of radius 2 cm in this region. The magnitude of the electric field (in mV/m) induced in the loop is ___________.Correct answer is '4'. Can you explain this answer? theory, EduRev gives you an
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