AIIMS2017PhysicsElectromagnetic Induction
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
Options
- A10.18 10⁻² ~V
- B9.66 10^2 ~V
- C10.18 10⁻³ ~V
- D1.51 10⁻² ~V
Correct answer
C. 10.18 10⁻³ ~V
Step-by-step solution
Change in magnetic field in 10 ~s =2.0 ~T As = -d d t =-A d B d t ( =B A) Circumference of patient's trunk, 2 r=0.8 ~m (given) r= 0.8 2 m = 0.4 m Areaofcrosssection, A= r^2= ( 0.4 )^2= 0.16 m ^2 | |= 0.16 2 10 ~V 10.18 10⁻³ ~V