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An $\alpha$ particle is moving along a circle of radius $R$ with a constant angular velocity $\omega $. Point $A$ lies in the same plane at a distance $2R$ from the centre. Point $A$ records magnetic field produced by $\alpha$ particle. If the minimum time interval between two successive times at which $A$ records zero magnetic field is $‘t’,$ find the angular speed $\omega $, in terms of $t.$
A solenoid of length $0.5 \mathrm{~m}$ has a radius of $1 \mathrm{~cm}$ and is made up of ' $m$ ' number of turns. It carries a current of $5 \mathrm{~A}$. If the magnitude of the magnetic field inside the solenoid is $6.28 \times 10^{-3} \mathrm{~T}$, then the value of $m$ is :
Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current flowing in the given wire segments lying on the $x y$ plane?
A conducting ring of radius $'r$' is placed in a varying magnetic field perpendicular to the plane of the ring, the rate at which magnetic field varies is $x$ the electric field intensity at any point of the ring is
A long solenoid is producing magnetic field on its axis is $B$. If it is cuts into four equal parts and for same current, half number of turns wound on any on piece than value of magnetic field on it axis becomes
A cell of emf $90\,V$ is connected across series combination of two resistors each of $100\,\Omega$ resistance. A voltmeter of resistance $400\,\Omega$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be $.........\,V$
A galvanometer coil has a resistance $90\, \Omega$ and full scale deflection current $10\, mA$ . A $910\,\Omega$ resistance is connected in series with the galvanometer to make a voltmeter. If the least count of the voltmeter is $0.1\,V$, the number of divisions on its scale is
A coaxial cable having radii $a, b$ and $c$ carries equal and opposite currents of magnitude $i$ the inner and outer conductors. What is the magnitude of the magnetic induction at point $P$ outside of the cable at a distance $r$ from the axis?