For MRI, a patient is slowly pushed in a time of 10 s within the coils of the magnet where magnetic field is B = 2.0 T . If the patient's trunk is 0.8 m in circumference, the induced emf around t

Question

For MRI, a patient is slowly pushed in a time of 10 s within the coils of the magnet where magnetic field is B = 2.0 T . If the patient's trunk is 0.8 m in circumference, the induced emf around the patient's trunk is

TestHub · Accepted Answer

Change in magnetic field in 10 s = 2.0 T As ε = d t − d ϕ ​ = − A d t d B ​ ( ∵ ϕ = B A ) Circumference of patient's trunk, 2 π r = 0.8 m (given) ∴ r = 2 π 0.8 ​ m = π 0.4 ​ m Areaofcrosssection, A = π r 2 = π ( π 0.4 ​ ) 2 = π 0.16 ​ m 2 ∴ ∣ ε ∣ = π 0.16 ​ × 10 2 ​ V ≈ 10.18 × 1 0 − 3 V

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