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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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The line integral of the electric field intensity is
Mmf
Emf
Electric potential
Magnetic potential
Emf
The line integral of the electric field intensity ∮E⋅dl represents the electromotive force (EMF) around a closed path. According to Faraday's Law, this integral is equal to the negative rate of change of magnetic flux linkage.
The line integral of the electric field intensity ∮E⋅dl represents the electromotive force (EMF) around a closed path. According to Faraday's Law, this integral is equal to the negative rate of change of magnetic flux linkage.
∮E⋅dl=−dtdΦ — Faraday's law in integral form
∮E⋅dl=V — Work done per unit charge in a closed loop
When a time-varying magnetic field threads a conductor, it induces an electric field. The line integral of this induced electric field around a closed loop accounts for the work done per unit charge, which is the definition of Electromotive Force (EMF). In a static case, this integral is zero, but in time-varying fields, it defines the induced voltage source.
The line integral of E represents the potential difference only in conservative (static) fields.
For time-varying fields, the electric field is non-conservative, leading to the concept of induced EMF.
The SI unit of EMF is Volts (V).
Provides a fundamental bridge between electric and magnetic fields.
Essential for understanding transformer and generator principles.
Does not account for non-field based potential drops.
Only applicable to closed loops for EMF definition.
Electric Generators
Transformers
Induction Motors
Electric potential is defined by the line integral of E between two points, whereas EMF involves a closed loop integration.
Option A (MMF) relates to magnetic circuits through the magnetic field intensity integral ∮H⋅dl.
B is correct — The closed-loop line integral of electric field intensity defines the electromotive force (EMF) generated within that loop.
Remember: ∮E⋅dl is EMF (Voltage), while ∮H⋅dl is MMF (Current) by Ampere's Law.