A solid current carrying conductor of radius $R$ is having current per unit area $\left(J\right)$ as $J=\frac{\alpha r}{R}$ where $\alpha$ is a constant and $r$ is distance from axis. Find magnetic field at distance $x$ from axis of wire. Assume $x<R$

Find magnitude and direction of force on following current carrying wires. Direction of magnetic field has been indicated in each case.

Magnetic field in a region is radially outward. Find force on the current carrying wire as shown in figure.

Two current carrying wire segments are placed as shown in figure. If force on segment $A$ due to segment $B$ is along $+x$ direction, what is the direction of force on segment $B$ due to segment $A$ ?

Find the force on the current carrying square loop due to infinitely long wire as shown in figure.