Question on: SS2 Physics - Electricity and Magnetism
A circular loop of radius 0.1 m is placed in a uniform magnetic field of 0.5 T. If the loop is rotated from a position where the magnetic field lines are perpendicular to the plane of the loop to a position where the magnetic field lines are parallel to the plane of the loop in 0.2 s, what is the average induced EMF in the loop?
The average induced EMF can be calculated using the formula: EMF = -N x (ΔΦ/Δt), where N is the number of turns and ΔΦ/Δt is the average rate of change of magnetic flux.
Given: N = 1 (single loop),
ΔΦ/Δt = (Φ₂ - Φ₁) / Δt = (B₂A - B₁A) / Δt,
B₁ = 0.5 T,
B₂ = 0 T,
A = πr²,
r = 0.1 m,
Δt = 0.2 s
Substituting the values into the formula:
EMF = -1 x ((0 - 0.5 T) x π x (0.1 m)²) / 0.2 s
= -1 x (-0.0157 V)
= 0.0157 V
The average induced EMF in the loop is 0.0157 V.
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