A moving coil galvanometer has a resistance of $50\,\Omega $ and gives full scale deflection for $10\, mA$. How could it be converted into an ammeter with a full scale deflection for $1\,A$
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A charged particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charged particle increases to $4$ times its initial value. What will be the ratio of new radius to the original radius of circular path of the charged particle
An ammeter gives full deflection when a current of $2\, amp$. flows through it. The resistance of ammeter is $12 \,\Omega$. If the same ammeter is to be used for measuring a maximum current of $5\, amp$., then the ammeter must be connected with a resistance of
An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of $i$ $ampere$ and the radius of the circular loop is $r$ $metre$. Then the magnetic induction at its centre will be
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 particle with ${10^{ - 11}}\,coulomb$ of charge and ${10^{ - 7}}\,kg$ mass is moving with a velocity of ${10^8}\,m/s$ along the $y$-axis. A uniform static magnetic field $B = 0.5\,Tesla$ is acting along the $x$-direction. The force on the particle is
A galvanometer of $100\,\Omega $ resistance gives full scale deflection when $10\, mA$ of current is passed. To convert it into $10\, A$ range ammeter, the resistance of the shunt required will be ............... $\Omega $
In the xy-plane, the region $y >0$ has a uniform magnetic field $B_1 \hat{k}$ and the region $y<0$ has another uniform magnetic field $B_2 \hat{k}$. A positively charged particle is projected from the origin along the positive $y$-axis with speed $v _0=\pi m s ^{-1}$ at $t =0$, as shown in the figure. Neglect gravity in this problem. Let $t = T$ be the time when the particle crosses the $x$-axis from below for the first time. If $B_2=4 B_1$, the average speed of the particle, in $m s ^{-1}$, along the $x$-axis in the time interval $T$ is. . . . . .