Magnetic Properties Of Matter Question 2
Question 2 - 2024 (30 Jan Shift 1)
A ceiling fan having 3 blades of length $80 \mathrm{~cm}$ each is rotating with an angular velocity of $1200 \mathrm{rpm}$. The magnetic field of earth in that region is $0.5 \mathrm{G}$ and angle of dip is $30^{\circ}$. The emf induced across the blades is $N \pi \times 10^{-5} \mathrm{~V}$. The value of $\mathrm{N}$ is
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Answer: (32)
Solution:
$B_{v}=B \sin 30=\frac{1}{4} \times 10^{-4}$
$\omega=2 \pi \times f=\frac{2 \pi}{60} \times 1200 \mathrm{rad} / \mathrm{s}$
$\varepsilon=\frac{1}{2} B_{V} \omega \ell^{2}$
$=32 \pi \times 10^{-5} \mathrm{~V}$
