Magnetic Properties Of Matter Question 2

Question 2 - 2024 (30 Jan Shift 1)

A ceiling fan having 3 blades of length $80 cm$ each is rotating with an angular velocity of $1200 rpm$. The magnetic field of earth in that region is $0.5 G$ and angle of dip is $30^{\circ}$. The emf induced across the blades is $N \pi \times 10^{-5} V$. The value of $N$ is

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Answer: (32)

Solution:

$B _v=B \sin 30=\frac{1}{4} \times 10^{-4}$

$\omega=2 \pi \times f=\frac{2 \pi}{60} \times 1200 rad / s$

$\varepsilon=\frac{1}{2} B _V \omega \ell^{2}$

$=32 \pi \times 10^{-5} V$