A square loop $ABCD$, carrying a current $i,$ is placed near and coplanar with a long straight conductor $XY$ carrying a current $I,$ the net force on the loop will be
A square loop $ABCD$, carrying a current $i,$ is placed near and coplanar with a long straight conductor $XY$ carrying a current $I,$ the net force on the loop will be
- A
$\frac{{2{\mu _0}Ii}}{{3\pi }}$
- B
$\frac{{{\mu _0}Ii}}{{2\pi }}$
- C
$\frac{{2{\mu _0}Ii{\rm{l}}}}{{3\pi }}$
- D
$\frac{{{\mu _0}Ii{\rm{l}}}}{{2\pi }}$
Similar Questions
Define Ampere from two current carrying parallel wires.
Define Ampere from two current carrying parallel wires.
Assertion $(A):$ A wire bent into an irregular shape with the points $P$ and $Q$ fixed. If a current $I$ passed through the wire, then the area enclosed by the irregular portion of the wire increases.
Reason $(R):$ Opposite currents carrying wires repel each other.
Assertion $(A):$ A wire bent into an irregular shape with the points $P$ and $Q$ fixed. If a current $I$ passed through the wire, then the area enclosed by the irregular portion of the wire increases.
Reason $(R):$ Opposite currents carrying wires repel each other.
- [AIIMS 2015]
A solenoid $60 \;cm$ long and of radius $4.0\; cm$ has $3$ layers of windings of $300$ turns each. A $2.0 \;cm$ long wire of mass $2.5\; g$ lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of $6.0\; A$ in the wire. What value of current (with appropriate sense of circulation in $A$) in the windings of the solenoid can support the weight of the wire? $g=9.8\; m \,s ^{-2}$
A solenoid $60 \;cm$ long and of radius $4.0\; cm$ has $3$ layers of windings of $300$ turns each. A $2.0 \;cm$ long wire of mass $2.5\; g$ lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of $6.0\; A$ in the wire. What value of current (with appropriate sense of circulation in $A$) in the windings of the solenoid can support the weight of the wire? $g=9.8\; m \,s ^{-2}$
A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\ T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.
A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\ T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.
- [JEE MAIN 2024]
Two very long, straight and parallel wires carry steady currents $I$ and $I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires in the plane of the wires. Its instantaneous velocity $v$ is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
Two very long, straight and parallel wires carry steady currents $I$ and $I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires in the plane of the wires. Its instantaneous velocity $v$ is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
- [IIT 1998]