As shown in the figure, a metallic rod of linear density $0.45\,kg\,m ^{-1}$ is lying horizontally on a smooth incline plane which makes an angle of $45^{\circ}$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15\,T$ magnetic field is acting on it in the vertical upward direction, will be $....A$ $\left\{\right.$ Use $\left.g=10 m / s ^{2}\right\}$
$30$
$15$
$10$
$3$
Through two parallel wires $A$ and $B$, $10$ and $2$ $ampere$ of currents are passed respectively in opposite direction. If the wire $A$ is infinitely long and the length of the wire $B$ is $ 2\, m$, the force on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be
The horizontal component of the earth's magnetic field at a certain place is $3.0 \times 10^{-5}\; T$ and the direction of the field is from the geographic south to the geographic north. A very long straight conductor is carrying a steady current of $1 \;A$. What is the force per unit length on it when it is placed on a horizontal table and the direction of the current is $(a)$ east to west; $(b)$ south to north?
A rectangular loop carrying a current $i$ is situated near a long straight wire such that the wire is parallel to the one of the sides of the loop and is in the plane of the loop. If a steady current $I$ is established in wire as shown in figure, the loop will
A conducting loop carrying a current $I$ is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to
A wire carrying a current $i$ is placed in a uniform magnetic field in the form of the curve $y = a\sin \,\left( {\frac{{\pi x}}{L}} \right)\,0 \le x \le 2L.$ The force acting on the wire is