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(A): Time varying electric field produces magnetic fields.
(R): Time varying magnetic field produces electric fields.
(R): Time varying magnetic field produces electric fields.
- a)Both A and R are true and R is a correct explanation of A
- b)Both A and R are true but R is not a correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
(A): Time varying electric field produces magnetic fields.(R): Time va...
A is true: A time-varying electric field does indeed produce a magnetic field. This phenomenon is described by one of Maxwell's equations, specifically Faraday's law of electromagnetic induction.
R is true: A time-varying magnetic field does produce an electric field. This is described by another of Maxwell's equations, known as Ampere's law with Maxwell's addition.
However, R is not a correct explanation of A. The fact that a time-varying magnetic field produces an electric field is not the direct cause of a time-varying electric field producing a magnetic field. The relationship between electric and magnetic fields is more complex and is described by Maxwell's equations as a set of interdependent phenomena. So, while both statements are true, R does not provide a direct explanation for A.
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(A): Time varying electric field produces magnetic fields.(R): Time va...
Understanding the Concepts
In electromagnetism, two fundamental principles govern the relationship between electric and magnetic fields, which are governed by Maxwell's equations.
Time-Varying Electric Fields
- A time-varying electric field is capable of inducing a magnetic field.
- This phenomenon is described by Faraday’s law of electromagnetic induction, stating that a change in electric flux through a circuit induces an electromotive force (EMF) and hence a magnetic field.
Time-Varying Magnetic Fields
- Similarly, a time-varying magnetic field induces an electric field.
- This is also a consequence of Faraday's law, which indicates that a changing magnetic field creates an electric field in the surrounding space.
Evaluation of Statements
- Both statement (A) and statement (R) are indeed true:
- (A) is true: Time-varying electric fields do produce magnetic fields.
- (R) is true: Time-varying magnetic fields do produce electric fields.
Correct Explanation
- However, the statement (R) does not serve as a correct explanation for (A). They are independent phenomena that both arise from the principles of electromagnetism but do not explain each other.
- A time-varying electric field producing a magnetic field exists as a separate principle from the time-varying magnetic field generating an electric field.
Conclusion
- Therefore, the correct choice is option (B): "Both A and R are true but R is not a correct explanation of A."
In electromagnetism, two fundamental principles govern the relationship between electric and magnetic fields, which are governed by Maxwell's equations.
Time-Varying Electric Fields
- A time-varying electric field is capable of inducing a magnetic field.
- This phenomenon is described by Faraday’s law of electromagnetic induction, stating that a change in electric flux through a circuit induces an electromotive force (EMF) and hence a magnetic field.
Time-Varying Magnetic Fields
- Similarly, a time-varying magnetic field induces an electric field.
- This is also a consequence of Faraday's law, which indicates that a changing magnetic field creates an electric field in the surrounding space.
Evaluation of Statements
- Both statement (A) and statement (R) are indeed true:
- (A) is true: Time-varying electric fields do produce magnetic fields.
- (R) is true: Time-varying magnetic fields do produce electric fields.
Correct Explanation
- However, the statement (R) does not serve as a correct explanation for (A). They are independent phenomena that both arise from the principles of electromagnetism but do not explain each other.
- A time-varying electric field producing a magnetic field exists as a separate principle from the time-varying magnetic field generating an electric field.
Conclusion
- Therefore, the correct choice is option (B): "Both A and R are true but R is not a correct explanation of A."
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(A): Time varying electric field produces magnetic fields.(R): Time varying magnetic field produces electric fields.a)Both A and R are true and R is a correct explanation of Ab)Both A and R are true but R is not a correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
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