Physics, asked by sumitkumar8014, 1 year ago

when induced current is highest​

Answers

Answered by ams68
2

The induced emf is greatest where the magnetic flux through the loop is changing at the fastest rate. By inspection, this is obviously occurring at the point where the sides of the wire loop are cutting through the magnetic field lines at the fastest rate. This occurs when the sides of the wire loop are aligned with the magnetic field. ...

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The induced current is proportional to the time change in magnetic flux

I∝dΦ/dt=AdB⃗ n⃗ dt=ddtABcosωt=−ABωsinωt

I∝dΦ/dt=AdB→n→dt=ddtABcos⁡ωt=−ABωsinωt

where B⃗ B→ is the magnetic field, n⃗ n→ is the normal vector of the loop surface, AA is the area of the loop, and ϕ=ωtϕ=ωt is the angle between the loop normal and the magnetic field B⃗ B→. Thus the current is maximum when ϕ=ωt=π/2+nπϕ=ωt=π/2+nπ because then the time change of the magnetic flux ΦΦ is maximal.

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