Three rings, each having equal radius $R,$ are placed mutually perpendicular to each other and each having its centre at the origin of co-ordinate system. If current $I$ is flowing thriugh each ring then the magnitude of the magnetic field at the common centre is
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A galvanometer has a $50$ $division$ scale. Battery has no internal resistance. It is found that there is deflection of $40$ $divisions$ when $R = 2400\,\Omega $. Deflection becomes $20$ $divisions$ when resistance taken from resistance box is $4900\,\Omega $ . Then we can conclude
The square loop $ABCD$, carrying a current $i$, is placed in uniform magnetic field $B$, as shown. The loop can rotate about the axis $XX$'. The plane of the loop makes and angle $\theta$ ($\theta$ $< 90^o$) with the direction of $B$. Through what angle will the loop rotate by itself before the torque on it becomes zero
A proton, a deuteron and an $\alpha$ particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is.......... and their speed is.................. in the ratio.
A charge of $1\,C$ is moving in a magnetic field of $0.5\,Tesla$ with a velocity of $10\,m/sec$ Perpendicular to the field. Force experienced is.....$N$
A particle of mass $m$ and charge $q$ is thrown from origin at $t = 0$ with velocity $2\hat{i}$ + $3\hat{j}$ + $4\hat{k}$ units in a region with uniform magnetic field $\vec B$ = $2\hat{i}$ units. After time $t =\frac{{\pi m}}{{qB}}$ , an electric field is switched on such that particle moves on a straight line with constant speed. $\vec E$ may be
The coil in a moving coil Galvanometer experiences torque proportional to current passed through it. If a steady current $i$ is passed through it the deflection of the coil is found to be $90^o$ . Now the steady current is switched off and a charge $Q$ is suddenly passed through the coil. If the coil has $N$ turns of area $A$ each and its moment of inertia is $I$ about the axis it is going to rotate then the maximum angle through which it deflects upon passing $Q$ is
The expression for the torque acting on a coil having area of cross-section $A$, number of turns $n$, placed in a magnetic field of strength $B$, making an angle $\theta $ with the normal to the plane of the coil, when a current $i$ is flowing in it, will be