Answer:
33.48 V
Explanation:
Parameters given:
Number of turns, N = 420
Magnetic field strength, B = 0.055 T
Area, A = 0.065 m²
Angular velocity, ω = 22.3 rad/s
EMF induced in a coil is given as:
EMF = -dΦ/dt
where Φ = magnetic flux
Magnetic flux, Φ, is given as:
Φ = B * N * A * cosωt
EMF = -d( B * N * A * cosωt) / dt
EMF = B * N * A * ω * sinωt
where ωt = 90°
Therefore:
EMF = 0.055 * 420 * 0.065 * 22.3 * sin90°
EMF = 33.48 V
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The 4 significant figures of 31,546,000 are all 8 of the digits.
