A plane rectangular loop is placed in a magnetic field. The emf induced in the loop due to this field is `epsilon_(1)` whose maximum value is `epsilon_(im)`. The loop was pulled out of the magnetic field at a variable velocity. Assume that `vec(B)` is uniform and constant `epsilon_(1)` is plotted against t as shown in the graph.
Which of the following are/is correct statement(s):

Options

A. `epsilon_(im)` is independent of rate of removal of coil from the field.
B. The total chage that passes through any point of the loop in the process of complete removal of the loop does not depend on velocity of removal.
C. The total are under the curve `(epsilon_(i) vs t)` is independent of rate of removal of coilfrom the field.
D. The area under the curve is dependent on the rate of remval of the coil.

Answer

B, C

Explanation

`|epsilon_(i)|=|-(d phi)/(dt)|=|epsilon_(i)|alpha |-(d phi)/(dt)|`
and also area under the curve gives
change in flux `=phi_(f)-pho_(i)=int d phi= int epsilon_(i)dt`
Total charge that will flow=`Delta phi//R`.