A square loop of side $a$ and resistance $R$ is placed in a spatially uniform magnetic field $B$ that is perpendicular to its plane. The magnetic field decays exponentially with time according to $B(t) = B_0e^{-t/au}$. What is the total charge that flows through the loop from $t=0$ to $t=\infty$?

If in a coil rate of change of area is $\frac{{5\,\,metr{e^2}}}{{milli{\rm{ }}second}}$, current becomes $1\,\,amp$ form $2\,\,amp$ in $2\,\, imes {10^{ - 3}}\,\,\sec$ magnetic field is $1\,\,tesla$, then self inductance of the coil is

A coil of ${\rm{N = 100}}$ turns carries a current $I = 5{\rm{ }}A$ and creates a magnetic flux $\phi = {10^{ - 5}}\,\,{\rm{T}}{{\rm{m}}^2}$ per turn. The value of its inductance $L$ will be

A circular coil of radius $5\,\,cm$ has ${\rm{500}}$ turns of a wire. The approximate value of the coefficient of self induction of the coil will be

The self-inductance of a long solenoid with 1000 turns is 0.1 H. If a current of 4 A flows through it, what is the magnetic flux linked with each turn?

If number of turns in primary and secondary coils is increased to two times each, the mutual inductance

An air core solenoid has ${\rm{1000}}$ turns and is one $metre$ long. Its cross-sectional area is $10\,\,c{m^2}$. Its self inductance is

Two coils have a mutual inductance $0.005\,\,H$. The current changes in the first coil according to equation $I = {I_0}\,\,\sin \,\,\omega t$, where ${I_0} = 10\,A$ and $\omega = 100{\mkern 1mu} {\mkern 1mu} \pi \,radian/\sec$. The maximum value of e.m.f. in the second coil is

A coil of wire of a certain radius has ${\rm{600}}$ turns and a self inductance of $108\,\,mH$. The self inductance of a ${{\rm{2}}^{{\rm{nd}}}}$ similar coil of ${\rm{500}}$ turns will be

A small square loop wire of side $l$ is placed inside a large squre loop of side $L\left( {L > > l} \right)$. If the loops are coplanar and their centres coincide, the mutual induction of the system is directly proportional to

The mutual inductance of an induction coil is $5\,\,H$. In the primary coil, the current reduces from $5\,A$ to zero in ${10^{ - 3}}\,s$. What is the induced emf in the secondary coil