A long solenoid carrying a current produces a magnetic field $B$ along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is
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A magnetic needle lying parallel to a magnetic field requires $W$ units of work to turn it through $60°$ . The torque required to maintain the needle in this position will be
A uniform conducting wire of length is $24 {a}$, and resistance ${R}$ is wound up as a current carrying coil in the shape of an equilateral triangle of side $'a'$ and then in the form of a square of side $'a'.$ The coil is connected to a voltage source ${V}_{0}$. The ratio of magnetic moment of the coils in case of equilateral triangle to that for square is $1: \sqrt{y}$ where $y$ is ..... .
An $\alpha -$ particle of $1\,MeV$ energy moves on circular path in uniform magnetic field. Then kinetic energy of proton in same magnetic field for circular path of double radius is......$MeV$
The oscillating frequency of acyclotron is $10\, MHz$. If the radius of its dee is $0.5\, m$, the kinetic energy of a proton, which is accelerated by the cyclotron is......$MeV$
A single turn current loop in the shape of a right angle triangle with sides $5\,cm , 12\,cm , 13\,cm$ is carrying a current of $2\,A$. The loop is in a uniform magnetic field of magnitude $0.75\,T$ whose direction is parallel to the current in the $13\,cm$ side of the loop. The magnitude of the magnetic force on the $5\,cm$ side will be $\frac{ x }{130}\,N$. The value of $x$ is $..........$
The ratio of the magnetic field at the centre of a current carrying circular coil to its magnetic moment is $'\alpha '.$ If the current and radius both are doubled then new ratio will become
A square-shaped conducting wire loop of dimension moving parallel to the $X$-axis approaches a square region of size $b(a < b)$, where a uniform magnetic field $B$ exists pointing into the plane of the paper (see figure). As the loop passes through this region, the plot correctly depicting its speed $v$ as a function of $x$ is