Five very long, straight wires are bound together to form a small cable. Currents carried by the wires are ${I_1} = 20\,A,$ ${I_2} = - \,6\,A,$ ${I_3} = 12\,A,\,{I_4} = - 7\,A,\,{I_5} = 18\,A.$ The magnetic induction at a distance of $10\, cm$ from the cable is
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A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the current. The motion of the charge is
A proton (mass $m$ and charge $+e$) and an $\alpha -$ particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true
A solenoid of $1.5$ $metre$ length and $4.0\, cm$ diameter posses $10$ $turn$ per $cm$. A current of $5$ $ampere$ is flowing through it. The magnetic induction at axis inside the solenoid is
Two long parallel wires carrying currents $8\,A$ and $15\,A$ in opposite directions are placed at a distance of $7\,cm$ from each other. A point $P$ is at equidistant from both the wires such that the lines joining the point $P$ to the wires are perpendicular to each other. The magnitude of magnetic field at $P$ is $............\times 10^{-6}\,T$. (Given : $\left.\sqrt{2}=1.4\right)$
A moving coil galvanometer has $N$ number of turns in a coil of effective area $A$, it carries a current $I$. The magnetic field $B$ is radial. The torque acting on the coil is
A magnetic field $\overrightarrow{\mathrm{B}}=\mathrm{B}_0 \hat{\mathrm{j}}$ exists in the region $\mathrm{a} < \mathrm{x} < 2 \mathrm{a}$ and $\vec{B}=-B_0 \hat{j}$, in the region $2 \mathrm{a} < \mathrm{x} < 3 \mathrm{a}$, where $\mathrm{B}_0$ is a positive constant. $\mathrm{A}$ positive point charge moving with a velocity $\overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{\dot{i}}$, where $v_0$ is a positive constant, enters the magnetic field at $x=a$. The trajectory of the charge in this region can be like,
An electric current passes through a long straight wire. At a distance $5\, cm$ from the wire, The magnetic field is $B$. The field at $20\, cm$ from the wire would be