An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. the radius of the loop is $a$ and distance of its centre from the wire is $d (d >> a)$. If the loop applies a force $F$ on the wire then
An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. the radius of the loop is $a$ and distance of its centre from the wire is $d (d >> a)$. If the loop applies a force $F$ on the wire then
- [JEE MAIN 2019]
- A
$F = 0$
- B
$F \propto \left( {\frac{a}{d}} \right)$
- C
$F \propto \left( {\frac{a^2}{d^3}} \right)$
- D
$F \propto {\left( {\frac{a}{d}} \right)^2}$
Similar Questions
A uniform magnetic field of $1.5\; T$ exists in a cylindrical region of radius $10.0\; cm$, its direction parallel to the axis along east to west. A wire carrying current of $7.0\; A$ in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,
$(a)$ the wire intersects the axis,
$(b)$ the wire is turned from $N-S$ to northeast-northwest direction,
$(c)$ the wire in the $N-S$ direction is lowered from the axis by a distance of $6.0 \;cm?$
A uniform magnetic field of $1.5\; T$ exists in a cylindrical region of radius $10.0\; cm$, its direction parallel to the axis along east to west. A wire carrying current of $7.0\; A$ in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,
$(a)$ the wire intersects the axis,
$(b)$ the wire is turned from $N-S$ to northeast-northwest direction,
$(c)$ the wire in the $N-S$ direction is lowered from the axis by a distance of $6.0 \;cm?$
A circular coil of wire carries a current. $PQ$ is a part of a very long wire carrying a current and passing close to the circular coil. If the directions of currents are those shown in figure, what is the direction of force acting on $PQ$ ?
A circular coil of wire carries a current. $PQ$ is a part of a very long wire carrying a current and passing close to the circular coil. If the directions of currents are those shown in figure, what is the direction of force acting on $PQ$ ?
Two long parallel wires are at a distance of $1$ metre. Both of them carry one ampere of current. The force of attraction per unit length between the two wires is
Two long parallel wires are at a distance of $1$ metre. Both of them carry one ampere of current. The force of attraction per unit length between the two wires is
- [AIPMT 1998]
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
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
Two long wires carrying current ${{\rm{I}}_1}$ and ${{\rm{I}}_2}$ are arranged as shown in figure. The one carrying current ${{\rm{I}}_1}$ is along is the $\mathrm{y}$ - axis. The other carrying current ${{\rm{I}}_2}$ is along a line parallel to the yaxis given by ${\rm{x = 0}}$ and ${\rm{z = d}}$. Find the force exerted at ${{\rm{O}}_2}$ because of the wire along the ${\rm{x}}$ - axis.
Two long wires carrying current ${{\rm{I}}_1}$ and ${{\rm{I}}_2}$ are arranged as shown in figure. The one carrying current ${{\rm{I}}_1}$ is along is the $\mathrm{y}$ - axis. The other carrying current ${{\rm{I}}_2}$ is along a line parallel to the yaxis given by ${\rm{x = 0}}$ and ${\rm{z = d}}$. Find the force exerted at ${{\rm{O}}_2}$ because of the wire along the ${\rm{x}}$ - axis.