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PHY 102 Electromagnetic Induction 1 Objective Question

Question

For a rotating loop of area A in a uniform magnetic field B, rotating with angular frequency ω, what is the induced EMF (ε) as derived on page 23?
Options
A ε = BAω cos(ωt)
B ε = BAω sin(ωt)
Correct Answer
C ε = BA / (ω sin(ωt))
D ε = BAω tan(ωt)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Page 23 states: 'ε = - dΦB / dt = BAω sin(ωt)'. The negative sign is for direction, but the magnitude is BAω sin(ωt).

Hint

Refer to the 'Rotating Loop - The Electricity Generator' section and find the derived formula for EMF.

Question Info