A proton moving with a velocity, $2.5 \times {10^7}\,m/s$, enters a magnetic field of intensity $2.5\,T$ making an angle ${30^o}$ with the magnetic field. The force on the proton is
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A circular loop of radius $R$ carries a current $I$. Another circular loop of radius $r(< < R) $ carries a current $i$ and is placed at the centre of the larger loop. The planes of the two circles are at right angle to each other. Find the torque acting on the smaller loop.
Two coaxial solenoids of different radii carry current $I$ in the same direction. Let $\;{\overrightarrow {\;F} _1}$ be the magnetic force on the inner solenoid due to the outer one and $\;{\overrightarrow {\;F} _2}$ be the magnetic force on the outer solenoid due to the inner one. Then
A moving coil galvanometer of resistance $100 \,\Omega$ is used as an ammeter using a resistance $0.1 \,\Omega$. The maximum deflection current in the galvanometer is $100\,\mu A$. Find the minimum current in the circuit so that the ammeter shows maximum deflection ............... $mA$
An infinitely long, straight conductor $AB$ is fixed and a current is passed through it. Another movable straight wire $CD$ of finite length and carrying current is held perpendicular to it and released. Neglect weight of the wire
In given figure, $X$ and $Y$ are two long straight parallel conductors each carrying a current of $2\,\, A.$ The force on each conductor is $F$ newtons. When the current in each is changed to $1\, A $ and reversed in direction, the force on each is now
A hollow cylinder having infinite length and carrying uniform current per unit length $\lambda$ along the circumference as shown. Magnetic field inside the cylinder is