$AB$ and $CD$ are smooth parallel rails, separated by a distance $l$, and inclined to the horizontal at an angle $\theta$ . $A$ uniform magnetic field of magnitude $B$, directed vertically upwards, exists in the region. $EF$ is a conductor of mass $m$, carrying a current $i$, if $B$ is normal to the plane of the rails
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The coil in a moving coil Galvanometer experiences torque proportional to current passed through it. If a steady current $i$ is passed through it the deflection of the coil is found to be $90^o$ . Now the steady current is switched off and a charge $Q$ is suddenly passed through the coil. If the coil has $N$ turns of area $A$ each and its moment of inertia is $I$ about the axis it is going to rotate then the maximum angle through which it deflects upon passing $Q$ is
The region between $y = 0$ and $y = d$ contains a magnetic field $\vec B = B\hat z$ A particle of mass $m$ and charge $q$ enters the region with a velocity $\vec v = v\hat i$. If $d = \frac{{mv}}{{2qB}}$ , the acceleration of the charged particle at the point of its emergence at the other side is
A straight wire of diameter $0.5\, mm$ carrying a current of $1\, A$ is replaced by another wire of $1\, mm$ diameter carrying the same current. The strength of magnetic field far away is
Two long thin, parallel conductors carrying equal currents in the same direction are fixed parallel to the $x$-axis, one passing through $y = a$ and the other through $y = -a$. The resultant magnetic field due to the two conductors at any point is $B$. Which of the following are correct?
Five very long, straight wires are bound together to form a small cable. Currents carried by the wires are ${I_1} = 20\,A,$ ${I_2} = - \,6\,A,$ ${I_3} = 12\,A,\,{I_4} = - 7\,A,\,{I_5} = 18\,A.$ The magnetic induction at a distance of $10\, cm$ from the cable is
An imaginary north pole of $10\,Am$ is rotating around an infinite long current carrying wire with $30\,revolution/min.$ on circular path. If current in wire is $5\,A$ then workdone in one second in doing so
An ammeter reads upto $1\, ampere$. Its internal resistance is $0.81\, ohm$. To increase the range to $10\, A$ the value of the required shunt is ............ $\Omega $