Two very long straight parallel wires, parallel to $y-$ axis,carrycurrents $4I$ and $I,$ along $+y$ directionand$-y$ direction, respectively. The wires are passes through the $x-$axis at the points $(d, 0, 0)$ and $(- d, 0, 0)$ respectively.The graph of magnetic field $z-$component as one moves along the $x-$axis from $x=- d$ to $x= +d,$ is best given by
For $B$ to be minimum $\frac{d B}{d x}=0 \Rightarrow x=\frac{2 d}{3}$
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A particle of mass $m$ and charge $q$ , moving with velocity $V$ enters region $II$ normal to the boundary as shown in the figure. Region $II$ has a uniform magnetic field $B$ perpendicular to the plane of the paper. The length of the region $II$ is $l$ . Choose the not correct choice
A coil is placed in $y-z$ plane making an angle of $30^{\circ}$ with $x$ -axis. The current through coil is $I,$ and number of turns are $N$. If a magnetic field of strength $'B'$ is applied in positive $x-$direction, then find the torque experienced by the coil (Radius of coil is $R$) (in $N \cdot m$)
$\left(N=100, I=1 A, R=2\, m, B=\frac{1}{\pi} T\right)$
Which one of the following modifications may ncrease the sensitivity of moving coil galvanometer?
$1^{st}$ Way : By using spring of smaller torsion constant.
$2^{nd}$ Way : By using a smaller coil
$3^{rd}$ Way : By using a stronger magnet
$4^{th}$ Way : By using a coil having fewer number of turns.
A wire of length $314\,cm$ carrying current of $14\,A$ is bent to form a circle. The magnetic moment of the coil is $........A- m ^{2}$. [Given $\left.\pi=3.14\right]$