Faradays Laws Of Induction

Step 1: Understanding the Concept:
Induced emf is governed by Faraday's law and Lenz's law, not Biot-Savart law.

Step 2: Detailed Explanation:
Biot-Savart law gives magnetic field due to a current, not induced emf.
All other pairs are correctly matched.

Step 3: Final Answer:
Mismatched pair: Induced emf : Biot-Savart law.

Concept:

Step 1: Doubling turns.

Concept: Electromagnetic induction produces opposing force.

Step 1: As magnet falls.
Changing magnetic flux induces current.

Step 2: Lenz’s law.
Induced current opposes motion.

Step 3: Result.
Acceleration decreases:

Step 1: Understanding the Concept:
According to Faraday's Law of Electromagnetic Induction, a changing magnetic flux through a coil induces an electromotive force (EMF). The magnitude of the average induced EMF is proportional to the rate of change of magnetic flux.

Step 2: Key Formula or Approach:
Faraday's Law formula for average induced EMF ( ):

Where:
= number of turns
= change in magnetic flux
= time interval
Magnetic flux . Since the coil is placed perpendicular to the field, the angle between the area vector and the B-field is , so , and .

Step 3: Detailed Explanation:
Given values:
Number of turns,
Radius, cm = m
Area of the coil, m
Initial magnetic field, T
Final magnetic field, T
Time interval, s
Calculate initial and final flux per turn:
Wb
Wb
Change in flux:
Wb
Calculate magnitude of average induced EMF:





Using the approximation often intended in such problems to get a clean integer:


Step 4: Final Answer:
The average induced emf is 44 V.

Concept:
• Maxwell's symmetry:
• Changing magnetic field → electric field (Faraday)
• Changing electric field → magnetic field (Ampere-Maxwell)

Step 1: Interpretation
Faraday’s law and Ampere-Maxwell law are symmetric counterparts. Final Conclusion:
Option (A)