A triangular loop of side $l$ carries a current $I$. It is placed in a magnetic field $B$ such that the plane of the loop is in the direction of $B$. The torque on the loop is
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A steady current $I$ goes through a wire loop $\mathrm{PQR}$ having shape of a right angle triangle with $\mathrm{PQ}=3 x, \mathrm{PR}=4 x$ and $\mathrm{QR}=5 x$. If the magnitude of the magnetic field at $\mathrm{P}$ due to this loop is $k\left(\frac{\mu_0 I}{48 \pi x}\right)$, find the value of $k$.
Figure shows a conducting loop $A D C A$ carrying current $i$ and placed in a region of uniform magnetic field $B_0$. The part $A D C$ forms a semicircle of radius $R$. The magnitude of force on the semicircle part of the loop is equal to
A long solenoid is formed by winding $20$ $turns/cm$. The current necessary to produce a magnetic field of $20$ $milli\,tesla$ inside the solenoid will be approximately .....$A$ $(\frac{{{\mu _0}}}{{4\pi }} = {10^{ - 7}}\,tesla - metre/ampere)$
An insulating thin rod of length $l$ has a linear charge density $\rho \left( x \right) = {\rho _0}\,\frac{x}{l}$ on it. The rod is rotated about an axis passing through the origin $(x = 0)$ and perpendicular to the rod. If the rod makes $n$ rotations per second, then the time averaged magnetic moment of the rod is
The circular coil of a galvanometer has fifty turns. The coil has a radius of $1\ cm$. The coil is placed in a radial magnetic field of $0. 010\ T$. The torsion coefficent of the spring on which the coil hangs is $3 \times 10^{-7}\ N-m-rad^{-1}$. Determine the deviation of the galvanometer's hand if the current through the coil is $1.0\ mA$......$^o$
Two circular coils $1$ and $2$ are made from the same wire but the radius of the $1^{st}$ coil is twice that of the $2^{nd}$ coil. What is the ratio of potential difference in volts should be applied across them so that the magnetic field at their centres is the same?
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?
In hydrogen atom, the electron is making $6.6 \times {10^{15}}\,rev/\sec $ around the nucleus in an orbit of radius $0.528\, \mathop A\limits^o $. The magnetic moment $(A - {m^2})$ will be
A particle of mass $m$ and charge $q$ , moving with velocity $V$ enters region $II$ normal to the boundary as shown in the figure. Region $II$ has a uniform magnetic field $B$ perpendicular to the plane of the paper. The length of the region $II$ is $l$ . Choose the not correct choice