04. Force and Torque on Current Carrying Conductor
Moving Charges & Magnetism

153738 A magnetic needle lying parallel to a magnetic field is turned through $60^{\circ} \mathrm{C}$. The work done on it is $\mathrm{W}$. The torque required to maintain the magnetic needle in the position mentioned above is

1 $\sqrt{3} \mathrm{~W}$
2 $\frac{\sqrt{3}}{2} \mathrm{~W}$
3 $\frac{\mathrm{W}}{2}$
4 $2 \mathrm{~W}$
Moving Charges & Magnetism

153739 Two parallel conductors $a$ and $b$ separated by a distance ' $b$ ' carrying same current $i$. If the distance between two conductors is doubled, the ratio of forces on conductor ' $b$ ' before and after separation is

1 $2: 1$
2 $6: 2$
3 $1: 4$
4 $4: 6$
Moving Charges & Magnetism

153740 Two long and parallel straight wires $A$ and $B$ carrying current $5 \mathrm{~A}$ each in same direction. If the force on a $5 \mathrm{~cm}$ section of wire $B$ is $5 \times 10^{-6}$ $\mathrm{N}$, then the separation between two wires is ( $\mu_{0}=4 \pi \times 10^{-7}$ SI unit)

1 $2.5 \mathrm{~cm}$
2 $5 \mathrm{~cm}$
3 $7.5 \mathrm{~cm}$
4 $10 \mathrm{~cm}$
Moving Charges & Magnetism

153742 A triangular shaped wire carrying $10 \mathrm{~A}$ current is place in a uniform magnetic field of $0.5 \mathrm{~T}$, as shown in figure. the magnetic force on segment $\mathrm{CD}$ is (Given $\mathrm{BC}=\mathrm{CD}=\mathrm{BD}=\mathbf{5} \mathrm{cm}$ ).

1 $0.126 \mathrm{~N}$
2 $0.312 \mathrm{~N}$
3 $0.216 \mathrm{~N}$
4 $0.245 \mathrm{~N}$
Moving Charges & Magnetism

153743 Two long and parallel straight wires $A$ and $B$ carrying currents of $10 \mathrm{~A}$ and $4 \mathrm{~A}$ in the same direction are separated by a distance of $2 \mathrm{~cm}$. Estimate of force on a $\mathbf{4} \mathrm{cm}$ section of wire $A$.
$\left(\mu_{0}=\mathbf{4} \pi \times 10^{-7} \mathrm{SI}\right)$

1 $1.6 \times 10^{-4} \mathrm{~N}$
2 $1.6 \times 10^{-5} \mathrm{~N}$
3 $1.6 \times 10^{-6} \mathrm{~N}$
4 $1.6 \times 10^{-3} \mathrm{~N}$
Moving Charges & Magnetism

153738 A magnetic needle lying parallel to a magnetic field is turned through $60^{\circ} \mathrm{C}$. The work done on it is $\mathrm{W}$. The torque required to maintain the magnetic needle in the position mentioned above is

1 $\sqrt{3} \mathrm{~W}$
2 $\frac{\sqrt{3}}{2} \mathrm{~W}$
3 $\frac{\mathrm{W}}{2}$
4 $2 \mathrm{~W}$
Moving Charges & Magnetism

153739 Two parallel conductors $a$ and $b$ separated by a distance ' $b$ ' carrying same current $i$. If the distance between two conductors is doubled, the ratio of forces on conductor ' $b$ ' before and after separation is

1 $2: 1$
2 $6: 2$
3 $1: 4$
4 $4: 6$
Moving Charges & Magnetism

153740 Two long and parallel straight wires $A$ and $B$ carrying current $5 \mathrm{~A}$ each in same direction. If the force on a $5 \mathrm{~cm}$ section of wire $B$ is $5 \times 10^{-6}$ $\mathrm{N}$, then the separation between two wires is ( $\mu_{0}=4 \pi \times 10^{-7}$ SI unit)

1 $2.5 \mathrm{~cm}$
2 $5 \mathrm{~cm}$
3 $7.5 \mathrm{~cm}$
4 $10 \mathrm{~cm}$
Moving Charges & Magnetism

153742 A triangular shaped wire carrying $10 \mathrm{~A}$ current is place in a uniform magnetic field of $0.5 \mathrm{~T}$, as shown in figure. the magnetic force on segment $\mathrm{CD}$ is (Given $\mathrm{BC}=\mathrm{CD}=\mathrm{BD}=\mathbf{5} \mathrm{cm}$ ).

1 $0.126 \mathrm{~N}$
2 $0.312 \mathrm{~N}$
3 $0.216 \mathrm{~N}$
4 $0.245 \mathrm{~N}$
Moving Charges & Magnetism

153743 Two long and parallel straight wires $A$ and $B$ carrying currents of $10 \mathrm{~A}$ and $4 \mathrm{~A}$ in the same direction are separated by a distance of $2 \mathrm{~cm}$. Estimate of force on a $\mathbf{4} \mathrm{cm}$ section of wire $A$.
$\left(\mu_{0}=\mathbf{4} \pi \times 10^{-7} \mathrm{SI}\right)$

1 $1.6 \times 10^{-4} \mathrm{~N}$
2 $1.6 \times 10^{-5} \mathrm{~N}$
3 $1.6 \times 10^{-6} \mathrm{~N}$
4 $1.6 \times 10^{-3} \mathrm{~N}$
Moving Charges & Magnetism

153738 A magnetic needle lying parallel to a magnetic field is turned through $60^{\circ} \mathrm{C}$. The work done on it is $\mathrm{W}$. The torque required to maintain the magnetic needle in the position mentioned above is

1 $\sqrt{3} \mathrm{~W}$
2 $\frac{\sqrt{3}}{2} \mathrm{~W}$
3 $\frac{\mathrm{W}}{2}$
4 $2 \mathrm{~W}$
Moving Charges & Magnetism

153739 Two parallel conductors $a$ and $b$ separated by a distance ' $b$ ' carrying same current $i$. If the distance between two conductors is doubled, the ratio of forces on conductor ' $b$ ' before and after separation is

1 $2: 1$
2 $6: 2$
3 $1: 4$
4 $4: 6$
Moving Charges & Magnetism

153740 Two long and parallel straight wires $A$ and $B$ carrying current $5 \mathrm{~A}$ each in same direction. If the force on a $5 \mathrm{~cm}$ section of wire $B$ is $5 \times 10^{-6}$ $\mathrm{N}$, then the separation between two wires is ( $\mu_{0}=4 \pi \times 10^{-7}$ SI unit)

1 $2.5 \mathrm{~cm}$
2 $5 \mathrm{~cm}$
3 $7.5 \mathrm{~cm}$
4 $10 \mathrm{~cm}$
Moving Charges & Magnetism

153742 A triangular shaped wire carrying $10 \mathrm{~A}$ current is place in a uniform magnetic field of $0.5 \mathrm{~T}$, as shown in figure. the magnetic force on segment $\mathrm{CD}$ is (Given $\mathrm{BC}=\mathrm{CD}=\mathrm{BD}=\mathbf{5} \mathrm{cm}$ ).

1 $0.126 \mathrm{~N}$
2 $0.312 \mathrm{~N}$
3 $0.216 \mathrm{~N}$
4 $0.245 \mathrm{~N}$
Moving Charges & Magnetism

153743 Two long and parallel straight wires $A$ and $B$ carrying currents of $10 \mathrm{~A}$ and $4 \mathrm{~A}$ in the same direction are separated by a distance of $2 \mathrm{~cm}$. Estimate of force on a $\mathbf{4} \mathrm{cm}$ section of wire $A$.
$\left(\mu_{0}=\mathbf{4} \pi \times 10^{-7} \mathrm{SI}\right)$

1 $1.6 \times 10^{-4} \mathrm{~N}$
2 $1.6 \times 10^{-5} \mathrm{~N}$
3 $1.6 \times 10^{-6} \mathrm{~N}$
4 $1.6 \times 10^{-3} \mathrm{~N}$
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Moving Charges & Magnetism

153738 A magnetic needle lying parallel to a magnetic field is turned through $60^{\circ} \mathrm{C}$. The work done on it is $\mathrm{W}$. The torque required to maintain the magnetic needle in the position mentioned above is

1 $\sqrt{3} \mathrm{~W}$
2 $\frac{\sqrt{3}}{2} \mathrm{~W}$
3 $\frac{\mathrm{W}}{2}$
4 $2 \mathrm{~W}$
Moving Charges & Magnetism

153739 Two parallel conductors $a$ and $b$ separated by a distance ' $b$ ' carrying same current $i$. If the distance between two conductors is doubled, the ratio of forces on conductor ' $b$ ' before and after separation is

1 $2: 1$
2 $6: 2$
3 $1: 4$
4 $4: 6$
Moving Charges & Magnetism

153740 Two long and parallel straight wires $A$ and $B$ carrying current $5 \mathrm{~A}$ each in same direction. If the force on a $5 \mathrm{~cm}$ section of wire $B$ is $5 \times 10^{-6}$ $\mathrm{N}$, then the separation between two wires is ( $\mu_{0}=4 \pi \times 10^{-7}$ SI unit)

1 $2.5 \mathrm{~cm}$
2 $5 \mathrm{~cm}$
3 $7.5 \mathrm{~cm}$
4 $10 \mathrm{~cm}$
Moving Charges & Magnetism

153742 A triangular shaped wire carrying $10 \mathrm{~A}$ current is place in a uniform magnetic field of $0.5 \mathrm{~T}$, as shown in figure. the magnetic force on segment $\mathrm{CD}$ is (Given $\mathrm{BC}=\mathrm{CD}=\mathrm{BD}=\mathbf{5} \mathrm{cm}$ ).

1 $0.126 \mathrm{~N}$
2 $0.312 \mathrm{~N}$
3 $0.216 \mathrm{~N}$
4 $0.245 \mathrm{~N}$
Moving Charges & Magnetism

153743 Two long and parallel straight wires $A$ and $B$ carrying currents of $10 \mathrm{~A}$ and $4 \mathrm{~A}$ in the same direction are separated by a distance of $2 \mathrm{~cm}$. Estimate of force on a $\mathbf{4} \mathrm{cm}$ section of wire $A$.
$\left(\mu_{0}=\mathbf{4} \pi \times 10^{-7} \mathrm{SI}\right)$

1 $1.6 \times 10^{-4} \mathrm{~N}$
2 $1.6 \times 10^{-5} \mathrm{~N}$
3 $1.6 \times 10^{-6} \mathrm{~N}$
4 $1.6 \times 10^{-3} \mathrm{~N}$
Moving Charges & Magnetism

153738 A magnetic needle lying parallel to a magnetic field is turned through $60^{\circ} \mathrm{C}$. The work done on it is $\mathrm{W}$. The torque required to maintain the magnetic needle in the position mentioned above is

1 $\sqrt{3} \mathrm{~W}$
2 $\frac{\sqrt{3}}{2} \mathrm{~W}$
3 $\frac{\mathrm{W}}{2}$
4 $2 \mathrm{~W}$
Moving Charges & Magnetism

153739 Two parallel conductors $a$ and $b$ separated by a distance ' $b$ ' carrying same current $i$. If the distance between two conductors is doubled, the ratio of forces on conductor ' $b$ ' before and after separation is

1 $2: 1$
2 $6: 2$
3 $1: 4$
4 $4: 6$
Moving Charges & Magnetism

153740 Two long and parallel straight wires $A$ and $B$ carrying current $5 \mathrm{~A}$ each in same direction. If the force on a $5 \mathrm{~cm}$ section of wire $B$ is $5 \times 10^{-6}$ $\mathrm{N}$, then the separation between two wires is ( $\mu_{0}=4 \pi \times 10^{-7}$ SI unit)

1 $2.5 \mathrm{~cm}$
2 $5 \mathrm{~cm}$
3 $7.5 \mathrm{~cm}$
4 $10 \mathrm{~cm}$
Moving Charges & Magnetism

153742 A triangular shaped wire carrying $10 \mathrm{~A}$ current is place in a uniform magnetic field of $0.5 \mathrm{~T}$, as shown in figure. the magnetic force on segment $\mathrm{CD}$ is (Given $\mathrm{BC}=\mathrm{CD}=\mathrm{BD}=\mathbf{5} \mathrm{cm}$ ).

1 $0.126 \mathrm{~N}$
2 $0.312 \mathrm{~N}$
3 $0.216 \mathrm{~N}$
4 $0.245 \mathrm{~N}$
Moving Charges & Magnetism

153743 Two long and parallel straight wires $A$ and $B$ carrying currents of $10 \mathrm{~A}$ and $4 \mathrm{~A}$ in the same direction are separated by a distance of $2 \mathrm{~cm}$. Estimate of force on a $\mathbf{4} \mathrm{cm}$ section of wire $A$.
$\left(\mu_{0}=\mathbf{4} \pi \times 10^{-7} \mathrm{SI}\right)$

1 $1.6 \times 10^{-4} \mathrm{~N}$
2 $1.6 \times 10^{-5} \mathrm{~N}$
3 $1.6 \times 10^{-6} \mathrm{~N}$
4 $1.6 \times 10^{-3} \mathrm{~N}$