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A square-shaped conducting wire loop of dimension moving parallel to the $X$-axis approaches a square region of size $b(a < b)$, where a uniform magnetic field $B$ exists pointing into the plane of the paper (see figure). As the loop passes through this region, the plot correctly depicting its speed $v$ as a function of $x$ is
Two parallel beams of protons and electrons, carrying equal currents are fixed at a separation $d$. The protons and electrons move in opposite directions. $P$ is a point on a line joining the beams, at a distance $x$ from any one beam. The magnetic field at $P$ is $B$. If $B$ is plotted against $x$, which of the following best represents the resulting curve
A particle carrying a charge equal to $100$ times the charge on an electron is rotating per second in a circular path of radius $0.8$ $metre$. The value of the magnetic field produced at the centre will be $({\mu _0} = $ permeability for vacuum)
To Verify Ohm's law, a student is provided with a test resistor $\mathrm{R}_{\mathrm{T}}$, a high resistance $\mathrm{R}_1$, a small resistance $\mathrm{R}_2$, two identical galvanometers $\mathrm{G}_1$ and $\mathrm{G}_2$, and a variable voltage source $\mathrm{V}$. The correct circuit to carry out the experiment is
A rectangular coil (Dimension $5\,cm\times 2\,cm$ ) with $100\,turns,$ carrying a current of $3\,A$ in the clock-wise direction, is kept centered at the origin and in the $X-Z$ plane. A magnetic field of $1\,T$ is applied along $X-$ axis. If the coil is tilted through $45^o$ about $Z-$ axis, then the torque on the coil is.....$Nm$
The figure shows three situations when an electron moves with velocity $\vec v$ travels through a uniform magnetic field $\vec B$. In each case, what is the direction of magnetic force on the electron
A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is $\overrightarrow F$ the net force on the remaining three arms of the loop 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