A current of $5$ $ampere$ is flowing in a wire of length $1.5$ $metres$. A force of $7.5\, N$ acts on it when it is placed in a uniform magnetic field of $2\, Tesla$. The angle between the magnetic field and the direction of the current is......$^o$

A conductor in the form of a right angle $ABC$ with $AB = 3\, cm$ and $BC = 4\, cm$ carries a current of $10\, A$. There is a uniform magnetic field of $5\, T$ perpendicular to the plane of the conductor. The force on the conductor will be......$N$

A triangular shaped wire carrying $10 A$ current is placed in a uniform magnetic field of $0.5\,T$, as shown in figure. The magnetic force on segment $CD$ is $....N$ $($ Given $BC = CD = BD =5\,cm )$.

A solenoid $60 \;cm$ long and of radius $4.0\; cm$ has $3$ layers of windings of $300$ turns each. A $2.0 \;cm$ long wire of mass $2.5\; g$ lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of $6.0\; A$ in the wire. What value of current (with appropriate sense of circulation in $A$) in the windings of the solenoid can support the weight of the wire? $g=9.8\; m \,s ^{-2}$

A square loop of edge length $2 \mathrm{~m}$ carrying current of $2 \mathrm{~A}$ is placed with its edges parallel to the $\mathrm{x}-\mathrm{y}$ axis. A magnetic field is passing through the $x-y$ plane and expressed as $\vec{B}=B_0(1+4 x) \hat{k}$, where $\mathrm{B}_0=5 \mathrm{~T}$. The net magnetic force experienced by the loop is. . . . . . .  $\mathrm{N}$.

If a wire of length $1\, meter$ placed in uniform magnetic field $1.5\, Tesla$ at angle ${30^o}$ with magnetic field. The current in a wire $10\, amp$. Then force on a wire will be.......$N$