the magnetic field existing in a region is given by vector b = b0(1 + x/l)vector k. a square loop of edge i and carrying a current i, is placed with its edges parallel to the x-y axes. find the magnitude of the net magnetic force experienced by the loop

Q. The magnetic field existing in a region is given by $\overrightarrow{B}=B_0\left(1+\frac{x}{l}\right)\overrightarrow{k}$. A square loop of edge l and carrying a current i, is placed with its edges parallel to the x−y axes. Find the magnitude of the net magnetic force experienced by the loop.

Q. The magnetic field in a region is given by $\overrightarrow{B}=B_0(1+\frac{x}{a})\hat{k}$. A square loop of edge length $d$ is placed with its edge along the $x$- and $y$-axes. The loop is moved with a constant velocity $\overrightarrow{v}=v_0\hat{i}$. The emf induced in the loop is

Q. A hypothetical magnetic field existing in a region is given by $\overrightarrow{B}=B_0{\overrightarrow{e}}_r,$ where ${\overrightarrow{e}}_r$ denotes the unit vector along the radial direction. A circular loop of radius a, carrying a current i, is placed with its plane parallel to the x−y plane and the centre at (0, 0, d). Find the magnitude of the magnetic force acting on the loop.

Q. A hypothetical magnetic field existing in a region is given by $\overrightarrow{B}=B_0{\overrightarrow{e}}_r$, where ${\overrightarrow{e}}_r$ denotes the unit vector along the radial direction. A circular loop of radius $\alpha ,$ carrying a current $i$, is placed with its plane parallel to $X-Y$ plane and the centre at $(0,0,d)$. Find the magnitude of the magnetic force acting on the loop.

Q. The magnetic field in a region is given by $\overrightarrow{B}=B_0\left(\frac{x}{a}\right)\hat{k}$. A sqaure loop of side $d$ is placed with its edges along the $x$ and $y$ axes. The loop is moved with a constant velocity $\overrightarrow{v}=v_0\hat{i}$. The emf induced in the loop is: