Which of the following is scalar:
Correct answer: D. Both (a) and (b)
- A. Flux density
- B. emf
- C. Magnetic flux
- D. Both (a) and (b)
Explanation
The correct answer is: Both (a) and (b) are scalar.Here's a breakdown of each quantity and why they are scalar:Flux density: In both electric and magnetic fields, flux density represents the magnitude of the field passing through a unit area perpendicular to the field lines. Its direction is defined by the right-hand rule for magnetic fields and the dot product for electric fields. Since it only carries information about the magnitude, it is a scalar quantity.Electric potential (emf): In electromagnetism, emf refers to the potential difference (voltage) between two points, which drives the flow of current. It represents the amount of energy per unit charge that would be gained or lost by a charged particle moving between the points. As it only specifies a magnitude without direction, emf is scalar.
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About Electromagnetic Induction
Changing magnetic flux induces an emf according to Faraday's law, while Lenz's law gives the direction that opposes the change producing it. Transformers apply induction between coils to step alternating voltage up or down, with turns ratio, current transformation and energy losses determining practical operation.
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