A galvanometer of resistance $40\,\Omega $ gives a deflection of $5\, divisions$ per $mA$. There are $50\, divisions$ on the scale. The maximum current that can pass through it when a shunt resistance of $2\,\Omega $ is connected is ................ $mA$
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A circular conducting loop of radius $R$ carries a current $I.$ Another straight infinite conductor carrying current $I$ passes through the diameter of this loop as shown in the figure. The magnitude of force exerted by the straight conductor on the loop is
A particle with charge $q$, moving with a momentum $p$, enters a uniform magnetic field normally. The magnetic field has magnitude $B$ and is confined to a region of width $d$, where $d < \frac{p}{{Bq}}$, The particle is deflected by an angle $\theta $ in crossing the field
A galvanometer of resistance $50\, \Omega$ is connected to a battery of $3\, V$ along with a resistance of $2950\, \Omega$ in series. A full scale deflection of $30$ divisions is obtained in the galvanometer. In order to reduce this deflection to $20$ divisions, the resistance in series should be.......$Ω$
The magnetic field is uniform for $y>0$ and points into the plane. The magnetic field is uniform and points out of the plane for $y<0$. A proton denoted by filled circle leaves $y=0$ in the $-y$-direction with some speed as shown below.Which of the following best denotes the trajectory of the proton?
A circular coil of radius $4\, cm$ has $50$ $turns$. In this coil a current of $2\, A$ is flowing. It is placed in a magnetic field of $0.1$ $weber/{m^2}$. The amount of work done in rotating it through $180^\circ $ from its equilibrium position will be........$J$
A conducting bar $PQ$ of length $l$ carrying current $I$ is suspended from a rigid support as shown in figure. A uniform magnetic field $B$ perpendicular to $PQ$ and directed away from the reader (inside the plane) is applied. If the mass of the bar is $M$ the tension in each string is
A proton and an alpha particle of the same enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the circular paths described by the alpha particle and proton 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