### Electromagnetic Induction

goals
A helicopter rises vertically with a speed of 100 m/s. If helicopter has length 10 m and horizontal component of earth's magnetic field is $5\times 10^{-3} Wb/m^2$, then the induced emf between the tip of nose and tail of helicopter is:
Two coils A and B have mutual inductance $2\times 10^{-2}$ henry. If the current in the primary is $i = 5\sin (10\pi t)$ then the maximum value of e.m.f. induced in coil B is:
A vertical rod of length $l$ is moved with constant velocity$v$ towards east. The vertical component of earth's magnetic field is B and angle of dip is $\theta$. The  induced e.m.f.  in rod is:
Force of 25 N is required to move a conducting loop through a non uniform magnetic field at 2.5 m/s. The rate production of internal energy in watts in the loop:
A heart pacing device consists of a coil of $50\ turns$ & radius $1\ mm$ just the body with $1000\ turns$ & radius $2\ cm,$ placed concentrically and coaxially just outside the body. Calculate the average induced EMF in the internal coil, if a current of a $1\ A$ in the external coil collapses in $10\ milliseconds.$