Assignment Set-2

A long solenoid has self inductance $L.$ If its length is doubled keeping total number of turns constant then its new self inductance will be

If $L$ and $R$ denote inductance and resistance respectively, then the dimension of $\frac{L}{R}$ is

With the decrease of current in the primary coil from $2 \mathrm{A}$ to zero in $0.01 \mathrm{s}$, the $e.m.f.$ generated in the secondary coil is $1000 \mathrm{V} .$ The mutual inductance of the two coil is

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

The coefficient of self induction of two inductor coils are $20\mathrm{mH}$ and $40\mathrm{mH}$ respectively. If the coils are connected in series so as to support each other and the resultant inductance is $80\mathrm{mH}$ then the value of mutual inductance between the coils will be

If given arrangement is moving towards right with speed $v$ in the uniform magnetic field, then induced current in the loop is (resistance of loop is $R$ )

According to Faraday's laws of electromagnetic induction, magnitude of induced emf in a coil is proportional to, 

A straight wire of length $\ell$ is moving with speed $v$ in a direction perpendicular to length. If a uniform magnetic field of strength $B$ is existing in the region, which is perpendicular to both $\ell$ and $v$, then emf across ends of wire is proportional to