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A coil is placed perpendicular to a magnetic field of 5000 T. When the field is changed to 3000 T in 2 s, an induced emf of 22 V is produced in the coil. If the diameter of the coil is 0.02 m, then the number of turns in the coil is

Asked in JEE Main 31st Jan 1st Shift 2024 · Flux change and induced EMF

Answer: (4) 70

Step-by-step solution

(dB)/(dt)=(5000-3000)/2=1000 T s⁻¹.

r=0.01 m so A=π r²=3.14×10⁻⁴ m².

ε=NA(dB)/(dt)⇒ 22=N×3.14×10⁻⁴×1000=0.314N.

N=70.

Why the other options are wrong

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