Current in the long wire is increasing. Find direction of the induced emf in the loop.

A uniform magnetic field exists along $x$-axis, find the flux through a square loop of side $a$ inclined at $60°$ to $(+x)$ axis as shown in figure.

An infinitely long wire carries current $i_0$ along $+z$ axis. Find flux through the right angled isosceles triangular region coplanar with the wire as shown in figure.

The loop moves towards a region of magnetic field. Draw graph of $i(+$ ve direction is marked in figure $)$ and time. Speed of coil is constant and equal to $v .$.

The loop shown in figure is rotating with angular velocity $\omega$ around a perpendicular axis passing through $O$. Which of the following graph correctly represent emf developed in the loop as function of $\theta$ ? ( $\theta$ is shown in diagram) (Consider anti-clockwise current due to $+ ve$ emf)

A rod is moving on rails as shown in figure. Outside magnetic field is given by $B_0$. Resistance of system is $R$ and length is $l .$

(a) Find direction of induced current.
(b) Find emf and current.
(c) Find magnetic force on the rod.