is it possible to generate emf without rotating the coil
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Consider a coil of cross section area S rotating with an angular speed ω in a uniform magnetic field B as shown in the figure.
Magnetic flux through the loop in the given position is given by:
ϕ=B⋅S
=BScos(π/2−θ)
=BSsin(θ)
θ=θo+ωt
⟹ϕ=BSsin(θo+ωt)
Induced emf is given by:
ε=dtdϕ
ε=dtd(BSsin(θo+ωt))
ε=BSωcos(θo+ωt)
Note that the induced emf is alternating in nature.
The rms value of induced emf is: εrms=2BSω
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