Magnetic flux linked with a coil is $\phi = 5t^2 + 2t + 3$,where $t$ is in seconds and $\phi$ is in webers. At time $t = 1 \ s$,the value of the induced emf is . . . . . . $V$.

The magnetic flux linked to a circular coil of radius $R$ is given by $\phi = 2t^3 + 4t^2 + 2t + 5 \; Wb$. The magnitude of the induced $emf$ in the coil at $t = 5 \; s$ is $.......... \; V$.

The magnetic flux through a loop of resistance $10 \Omega$ is given by $\phi = 5t^2 - 4t + 1 \text{ Wb}$. How much current is induced in the loop after $0.2 \text{ s}$ (in $\text{ A}$)?

$A$ physicist works in a laboratory where the magnetic field is $2 \, T$. She wears a necklace enclosing an area of $0.01 \, m^2$ in such a way that the plane of the necklace is normal to the field,and it has a resistance $R = 0.01 \, \Omega$. Because of a power failure,the magnetic field decays to $1 \, T$ in $10^{-3} \, s$. What is the total heat produced in her necklace in Joules?

$A$ coil having effective area '$A$' is held with its plane normal to a magnetic field of induction '$B$'. The magnetic induction is quickly reduced to $25\%$ of its initial value in $1 \text{ s}$. The e.m.f. induced in the coil (in volt) will be

Two square wire frames $abcd$ and $efgh$ are placed in a uniformly decreasing magnetic field as shown in the figure. The direction of the induced current in both the loops is