Two coaxial coils are very close to each other and their mutual inductance is $5 \,mH$. If a current $50 sin 500 \,t$ is passed in one of the coils then the peak value of induced e.m.f in the secondary coil will be ........... $V$

Two coil $A$ and $B$ have coefficient of mutual inductance $M = 2H$. The magnetic flux passing through coil $A$ changes by $4$ Weber in $10$ seconds due to the change in current in $B$. Then

The area of its cross-section is $1.2 \times {10^{ - 3}}{m^2}$. Around its central section, a coil of $300$ turns is wound. If an initial current of $2A$ in the solenoid is reversed in $0.25\, sec$, then the $e.m.f$. induced in the coil is

An $e.m.f.$ of $100$ $millivolts$ is induced in a coil when the current in another nearby coil becomes $10$ $ampere$ from zero in $0.1$ $second.$ The coefficient of mutual induction between the two coils will be....$millihenry$

There are two long co -axial solenoids of same length $l.$ The inner and outer coils have radii $r_1$ and $r_2$ and number of turns per unit length $n_1$ and $n_2$ respectively. The ratio of mutual inductance to the self -inductance of the inner -coil is

A very long straight conductor and isosceles triangular conductor lie in a plane and are separated from each other as shown in the figure. If $a = 10\ cm , b = 20\ cm$ and $h = 10\ cm$ , find the coefficient of mutuaI induction