Two long current carrying thin wires, both with current $I$, are held by insulating threads oflength $L$ and are in equilibrium as shown in the figure, with threads making an angle '$\theta$' with the vertical. If wires have mass $\lambda$ per unit length then the value of $l$ is
($g =$ gravitational acceleration)
$2$$sin$$\theta \sqrt {\frac{{\pi \lambda gL}}{{{\mu _0}cos\theta }}} \;\;\;\;\;\;\;\;$
$2$$\sqrt {\frac{{\pi gL}}{{{\mu _0}}}tan\theta } $
$\;\sqrt {\frac{{\pi \lambda gL}}{{{\mu _0}}}tan\theta } $
$sin$$\theta \sqrt {\frac{{\pi \lambda gL}}{{{\mu _0}cos\theta }}} $
A conducting circular loop of radius $r$ carries a constant current $i$. It is placed in a uniform magnetic field $\overrightarrow B $, such that $\overrightarrow B $ is perpendicular to the plane of the loop. The magnetic force acting on the loop is
A square loop $ABCD$, carrying a current $i,$ is placed near and coplanar with a long straight conductor $XY$ carrying a current $I,$ the net force on the loop will be
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A charge of $2.0\,\mu C$ moves with a speed of $3.0 \times {10^6}\,m{s^{ - 1}}$ along $+ ve$ $X$ - axis $A$ magnetic field of strength $\vec B = - 0.2\,\,\hat k$ $Tesla$ exists in space. What is the magnetic force $({\overrightarrow F _m})$ on the charge
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