Three long, straight and parallel wires carrying currents are arranged as shown in the figure. The wire $C$ which carries a current of $5.0\, amp$ is so placed that it experiences no force. The distance of wire $C$ from wire $D$ is then
A$9\, cm$
B$7\, cm$
C$5\, cm$
D$3\, cm$
Medium
Download our app for free and get started
A$9\, cm$
a (a) For no force on wire $C$, force on wire $C$ due to wire $D$ = force on wire $C$ due to wire $B$
$ \Rightarrow \frac{{{\mu _0}}}{{4\pi }} \times \frac{{2 \times 15 \times 5}}{x} \times l = \frac{{{\mu _0}}}{{4\pi }} \times \frac{{2 \times 5 \times 10}}{{\left( {15 - x} \right)}} \times l$
$ \Rightarrow x = 9\,cm.$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
The figure shows the cross section of a long cylindrical conductor through which an axial hole of radius $r$ is drilled with its centre at point $A$ . $O$ is the centre of the conductor. If an identical hole were to be drilled centred at point $B$ while maintaining the same current density the magnitude of magnetic field at $O$
Two long thin, parallel conductors carrying equal currents in the same direction are fixed parallel to the $x$-axis, one passing through $y = a$ and the other through $y = -a$. The resultant magnetic field due to the two conductors at any point is $B$. Which of the following are correct?
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 horizontal component of earth's magnetic field at a place is $3.5 \times 10^{-5} \mathrm{~T}$. A very long straight conductor carrying current of $\sqrt{2} A$ in the direction from South east to North West is placed. The force per unit length experienced by the conductor is$..............$ $\times 10^{-6} \mathrm{~N} / \mathrm{m}$.
A conducting wire bent in the form of a parabola $y^2 = 2x$ carries a current $i = 2 A$ as shown in figure. This wire is placed in a uniform magnetic field $\vec B = - 4\,\hat k$ $Tesla$. The magnetic force on the wire is (in newton)
A galvanometer of resistance $20 \,\Omega$ is to be converted into an ammeter of range $1\, A$. If a current of $1\, mA$ produces full scale deflection, the shunt required for the purpose is ................ $\Omega $
The ratio of the magnetic field at the centre of a current carrying coil of the radius $a$ and at a distance ‘$a$’ from centre of the coil and perpendicular to the axis of coil is