A long solenoid is formed by winding $70$ turns $cm ^{-1}$. If $2.0\,A$ current flows, then the magnetic field produced inside the solenoid is $.......\times 10^{-4}\,T$ $\left(\mu_0=4 \pi \times 10^{-7}\,TmA ^{-1}\right)$
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A current of $10\, ampere$ is flowing in a wire of length $1.5\, m$. A force of $15\, N$ acts on it when it is placed in a uniform magnetic field of $2$ $tesla$. The angle between the magnetic field and the direction of the current is.....$^o$
The force exerted by a magnetic field on a wire having length $L$ and current $I$ is perpendicular to the wire and given as $\left| F \right| = IL\left| B \right|$ . An experimental plot shows $(\vec F)$ as function of $L$ . The plot is a straight line with a slope $S = \left( {10 \pm 1} \right) \times {10^{ - 5}}\ AT$. The current in the wire is $\left( {15 \pm 1} \right)\ mA$ . The percentage error in $B$ is
A particle of charge $q$ and mass $m$ moving with a velocity $v$ along the $x$-axis enters the region $x > 0$ with uniform magnetic field $B$ along the $\hat k$ direction. The particle will penetrate in this region in the $x$-direction upto a distance $d$ equal to
One proton beam enters a magnetic field of ${10^{ - 4}}$ $T$ normally, Specific charge = ${10^{11}}\,C/kg.$ velocity = ${10^7}\,m/s$. What is the radius of the circle described by it....$m$
The dipole moment of a circular loop carrying a current $I$, is $m$ and the magnetic field at the centre of the loop is $B_1$ . When the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is $B_2$ . The ratio $\frac{{{B_1}}}{{{B_2}}}$ is