The magnetic flux through a 25-loop wire coil changes by 2.6 ×10^-4 T ·m^2 and produces an indu

step 1 Here in this question we have given induced EMF equals to 1 .7 volt also we have change in magne

The magnetic flux through a 25-loop wire coil changes by 2.6...

The magnetic flux through a 25-loop wire coil changes by $2.6 \times 10^{-4} \mathrm{~T} \cdot \mathrm{m}^{2}$ and produces an induced emf of $1.7 \mathrm{~V}$. How much time is required for this change in magnetic flux?

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Key Concepts

Magnetic Flux

Magnetic flux quantifies the amount of magnetic field passing through a given area. It is calculated as the product of the magnetic field and the perpendicular area through which it passes. This concept is crucial in electromagnetic induction, as changes in magnetic flux are what drive the induction of an electromotive force (emf).

Faraday’s Law of Electromagnetic Induction

Faraday’s Law states that the magnitude of the induced emf in a closed loop is proportional to the rate of change of the magnetic flux through the loop. This fundamental relationship underpins the operation of many electrical devices, explaining how variations in magnetic environments can generate electrical currents.

Multi-turn Coil Effects

When dealing with coils that have multiple loops, each loop contributes to the total induced emf, with the overall emf being the sum of the contributions from each turn. This amplification effect is important in designing electrical components like transformers and inductors, where increasing the number of loops can enhance the induced voltage for a given rate of change in magnetic flux.

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