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A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?
- a)There is current in the loop even though there is no battery (or any other voltage source)
- b)The work done in moving the coil is being converted to the current in the coil
- c)The current is being generated because the magnetic field is doing the work.
- d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strength
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A square closed loop of area A, lying in the horizontal plane is movin...
A. True, EMF will be induced by Motional EMF
B. True, Conservation of Work & Energy. Coz,,Work-done by Magnetic Field is zero.
C. False, always work done by Magnetic Field is Zero cozy direction of Force and Displacement are Perpendicular so, Dot Product is Zero always.
D. True, E = [V x B. dl] where, V = Velocity and E = EMF
E. True, E = (V x B), dl where B = Magnetic Field and E = EMF
Most Upvoted Answer
A square closed loop of area A, lying in the horizontal plane is movin...
Explanation:
The situation described in the question is an example of electromagnetic induction, where a changing magnetic field induces an electric current in a conductor. Let's analyze each statement one by one:
a) There is current in the loop even though there is no battery (or any other voltage source)
This statement is true. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an emf (electromotive force) in a conductor, which in turn generates an electric current. In this case, the moving square loop experiences a changing magnetic field due to its motion, which induces a current in the loop.
b) The work done in moving the coil is being converted to the current in the coil
This statement is also true. The energy expended in moving the loop is converted into the electric energy of the current induced in the loop. This is a manifestation of the law of conservation of energy.
c) The current is being generated because the magnetic field is doing the work.
This statement is false. The magnetic field does not do any work on the loop. Work is defined as the product of force and displacement, and the magnetic force on a moving charge is always perpendicular to the velocity of the charge, which means that it does not do any work. Therefore, the current is not generated because of the work done by the magnetic field.
d) The emf generated is proportional to the velocity of the coil
This statement is true. The emf induced in a conductor is proportional to the rate of change of magnetic flux through it, which in turn is proportional to the velocity of the conductor. Therefore, the emf generated in the moving square loop is proportional to its velocity.
e) The emf generated is proportional to the magnetic field strength
This statement is false. The emf induced in a conductor is proportional to the rate of change of magnetic flux through it, which depends on the velocity of the conductor and the strength of the magnetic field. Therefore, the emf is proportional to the product of the velocity and the magnetic field strength, not just the magnetic field strength alone.
The situation described in the question is an example of electromagnetic induction, where a changing magnetic field induces an electric current in a conductor. Let's analyze each statement one by one:
a) There is current in the loop even though there is no battery (or any other voltage source)
This statement is true. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an emf (electromotive force) in a conductor, which in turn generates an electric current. In this case, the moving square loop experiences a changing magnetic field due to its motion, which induces a current in the loop.
b) The work done in moving the coil is being converted to the current in the coil
This statement is also true. The energy expended in moving the loop is converted into the electric energy of the current induced in the loop. This is a manifestation of the law of conservation of energy.
c) The current is being generated because the magnetic field is doing the work.
This statement is false. The magnetic field does not do any work on the loop. Work is defined as the product of force and displacement, and the magnetic force on a moving charge is always perpendicular to the velocity of the charge, which means that it does not do any work. Therefore, the current is not generated because of the work done by the magnetic field.
d) The emf generated is proportional to the velocity of the coil
This statement is true. The emf induced in a conductor is proportional to the rate of change of magnetic flux through it, which in turn is proportional to the velocity of the conductor. Therefore, the emf generated in the moving square loop is proportional to its velocity.
e) The emf generated is proportional to the magnetic field strength
This statement is false. The emf induced in a conductor is proportional to the rate of change of magnetic flux through it, which depends on the velocity of the conductor and the strength of the magnetic field. Therefore, the emf is proportional to the product of the velocity and the magnetic field strength, not just the magnetic field strength alone.
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A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer?
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A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer?.
A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A square closed loop of area A, lying in the horizontal plane is moving horizontally with velocity v in a uniform vertical magnetic field B. Which one of the following statements is FALSE?a)There is current in the loop even though there is no battery (or any other voltage source)b)The work done in moving the coil is being converted to the current in the coilc)The current is being generated because the magnetic field is doing the work.d)The emf generated is proportional to the velocity of the coil (e) the emf generated is proportional to the magnetic field strengthCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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