Question #297963

A flat coil with 78 loops of wire has a radius of 15 mm. The coil is placed in a magnetic field of 0.35 T so that a maximum flux goes through it. It is later rotated in 0.07 s to a position so that no flux can go through. What is the average induced EMF produced between the terminals of the coil?


1
Expert's answer
2022-02-15T16:18:55-0500

Magnetic field

A=πr2A=\pi r^2

A=π×0.0152A=\pi \times0.015^2

e=Ndϕdte=N\frac{d\phi}{dt}

ϕ=BAcosθ\phi=BAcos\theta

ϕmax=BA\phi_{max}=BA

Cos0°=1


e=78×0.35×π×0.01520.070=0.275Ve=78\times\frac{0.35\times\pi \times0.015^2}{0.07-0}=0.275V


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