Question

A body enters in MRI machine in $10sec$. If the magnetic field is $1.5T$ and circumference of MRI machine is $0.9m$ then find out emf induced in the body.

• A. $0.96V$
• B. $9.6V$
• C. $9.6mV$
• D. $96mV$

Answer 1

The correct option is C $9.6mV$

circumference $2\pi r=0.9m$

$\Rightarrow$ radius $=\frac{0.9}{2\pi }=\frac{0.9}{0.28}meter$

area $A=\pi r^2=3.14\times \frac{0.81}{6.28\times 6.28}{m}^2$

initial flux = 0

flux after 10 second is $\varphi =BA$

$\varphi =1.5\times 0.064$ weber

$\Delta \varphi =$ charge in flux = $\varphi -0=0.096weber$

emf $=\frac{\Delta \varphi }{\Delta t}=\frac{0.096weber}{10sec}=.0096$ volt

$emf=9.6mv$