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Questions and Answers
According to Faraday’s law, what does a steady current carrying wire or moving charge produce?
According to Faraday’s law, what does a steady current carrying wire or moving charge produce?
- A magnetic field (correct)
- An induced magnetic field
- An induced electric field
- An electric field
What does the equation $\oint (\nabla \times \mathbf{E}) \cdot d\mathbf{a} = -\frac{d}{dt}\int \mathbf{B} \cdot d\mathbf{a}$ represent?
What does the equation $\oint (\nabla \times \mathbf{E}) \cdot d\mathbf{a} = -\frac{d}{dt}\int \mathbf{B} \cdot d\mathbf{a}$ represent?
- Stokes theorem
- Direction of current due to induced magnetic field
- Faraday’s law in differential form (correct)
- Flux given by changing magnetic field
What is the field due to loop 1 called in the context of mutual inductance?
What is the field due to loop 1 called in the context of mutual inductance?
- emf in the 2nd loop
- Mutual inductance (correct)
- Self inductance
- Flux through loop 2
What does the flux formula and Stokes theorem help in writing?
What does the flux formula and Stokes theorem help in writing?
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What is the direction of the induced field according to Faraday’s law?
What is the direction of the induced field according to Faraday’s law?
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Study Notes
Electromagnetic Induction
- A steady current carrying wire or moving charge produces a magnetic field.
Mathematical Representation
- The equation $\oint (\nabla \times \mathbf{E}) \cdot d\mathbf{a} = -\frac{d}{dt}\int \mathbf{B} \cdot d\mathbf{a}$ represents Faraday's law of induction.
Mutual Inductance
- The field due to loop 1 in the context of mutual inductance is called the flux.
Flux Formula and Stokes Theorem
- The flux formula and Stokes theorem help in writing the magnetic flux.
Direction of Induced Field
- The direction of the induced field, according to Faraday's law, is perpendicular to the direction of the changing magnetic flux.
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