Electromagnetic Induction Part 2

Introduction

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• Watch Part 1 before proceeding

Magnetic Flux

• Prerequisite for Electromagnetic Induction
  • Understanding magnetic flux is crucial for grasping electromagnetic induction

Definition of Magnetic Flux

• Analogy with Electric Flux

  • Electric flux: Number of electric lines of force crossing a specific area
  • Magnetic flux: Number of magnetic lines of force crossing a specific area

• Mathematical Definition

  • Magnetic flux (ϕ_B) is defined as:
    • ϕ_B = B • A
    • Where B is the magnetic field vector and A is the area vector
  • Can also be expressed as:
    • ϕ_B = B A cos(θ)
    • θ = angle between area vector and magnetic field vector

Area Vector and Orientation

• Importance of Area Vector
  • Area is treated as a vector due to its orientation affecting the amount of flux
  • Normal to the area defines the direction of the area vector

Scenarios for Understanding Flux

1. Scenario 1

   • Magnetic field direction: perpendicular to area vector
   • θ = 90 degrees
   • Flux (ϕ) = 0

2. Scenario 2

   • Magnetic field direction: aligned with area vector
   • θ = 0 degrees
   • Flux (ϕ) = B • A (maximum value)

Properties of Magnetic Flux

• Scalar Quantity
  • Measures the number of magnetic lines of force
• SI Unit
  • Weber (Wb)
    • 1 Weber = 1 Tesla • 1 meter²
• CGS Unit
  • Maxwell
    • Relation: 1 Weber = 10^8 Maxwell

Transition to Electromagnetic Induction

• Understanding magnetic flux sets the stage for discussing electromagnetic induction.

Conclusion

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