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A vertical wire kept in $Z-X$ plane carries a current from $Q$ to $P$ (see figure). The magnetic field due to current will have the direction at the origin $O$ along
A particle of mass $m$ and charge $q$ moves with a constant velocity $v$ along the positive $x$ direction. It enters a region containing a uniform magnetic field $B$ directed along the negative $z$ direction, extending from $x = a$ to $x = b$. The minimum value of $v$ required so that the particle can just enter the region $x > b$ is
The magnetic field at the centre of a circular current carrying-conductor of radius $r$ is $B_c$. The magnetic field on its axis at a distance $r$ from the centre is $B_a$. The value of $B_c$ : $B_a$ will be
A long wire A carries a current of $10\, amp$. Another long wire $B$, Which is parallel to $A$ and separated by $0.1\,m$ from $A$, carries a current of $5\, amp$, in the opposite direction to that in $A$. what is the magnitude and nature of the force experienced per unit length of $B$ $({\mu _0} = 4\pi \times {10^{ - 7}}\,weber/amp{\rm{ - }}m)$