Consider the following statements regarding electromagnetic induction:1.Induced EMF depends on rate of change of flux.2.Lenz’s law determines the direction of induced EMF.3.Induced EMF always aids the cause.Which of the above statements is/are correct?
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Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage. Lenz's law supplies the negative sign: the induced current/EMF acts in a direction that opposes the change producing it, consistent with conservation of energy. Key relation: e = −N dΦ/dt.
Exam focus: Magnitude comes from Faraday; direction comes from Lenz. Common trap: Lenz's law says oppose the cause/change, not aid it.
Formula / Key Relation
e = −N dΦ/dt.
Detailed Explanation
Correct Answer: C - 1 and 2 only Quick Concept Explanation Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage. Lenz's law supplies the negative sign: the induced current/EMF acts in a direction that opposes the change producing it, consistent with conservation of energy. Key relation: e = −N dΦ/dt.Exam focus: Magnitude comes from Faraday; direction comes from Lenz. Common trap: Lenz's law says oppose the cause/change, not aid it. Statement-wise Verification Statement 1 - Correct.Induced EMF depends on rate of change of flux.Faraday's law states that induced EMF is proportional to…
Correct Answer: C - 1 and 2 only
Quick Concept Explanation
Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage. Lenz's law supplies the negative sign: the induced current/EMF acts in a direction that opposes the change producing it, consistent with conservation of energy. Key relation: e = −N dΦ/dt.
Exam focus: Magnitude comes from Faraday; direction comes from Lenz. Common trap: Lenz's law says oppose the cause/change, not aid it.
Statement-wise Verification
Statement 1 - Correct. Induced EMF depends on rate of change of flux. Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage.
Statement 2 - Correct. Lenz’s law determines the direction of induced EMF. Lenz's law supplies the negative sign: the induced current/EMF acts in a direction that opposes the change producing it, consistent with conservation of energy.
Statement 3 - Incorrect. Induced EMF always aids the cause. The correct principle is: Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage.
Core Concept
Faraday's law states that induced EMF is proportional to the time rate of change of flux linkage. Lenz's law supplies the negative sign: the induced current/EMF acts in a direction that opposes the change producing it, consistent with conservation of energy.
Formula / Key Relationship
e = −N dΦ/dt.
Why the Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 2. Option B is incorrect because it omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Magnitude comes from Faraday; direction comes from Lenz.
Common Mistake
Lenz's law says oppose the cause/change, not aid it.
Quick Revision
Direction and Magnitude of Induced EMF is linked with Faraday and Lenz Laws, Electromagnetic Induction and Electrical Fundamentals. Magnitude comes from Faraday; direction comes from Lenz.
Quick Trick
Magnitude comes from Faraday; direction comes from Lenz.
Why Other Options Are Wrong
Option A is incorrect because it omits correct statement(s) 2. Option B is incorrect because it omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Common Mistake
Lenz's law says oppose the cause/change, not aid it.
Exam Tip
Magnitude comes from Faraday; direction comes from Lenz.
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