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

153782 Two long straight parallel conductors are carrying currents $i_{1}$ and $i_{2}$ in the same direction. Work done per unit length, when the distance between them is doubled is

1 $2 \times \frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2}$
2 $\frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2} \ln [2]$
3 $\frac{\mu_{0}}{2 \pi} i_{1} i_{2} \ln [4]$
4 0
Moving Charges & Magnetism

153783 $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are parallel conductors of equal lengths carrying currents $I, I$ and $2 I$ respectively. Distance between $A$ and $B$ is $x$.

Distance between $B$ and $C$ is also $x . F_{1}$ is the force exerted by $B$ on $A . F_{2}$ is the force exerted by $C$ on $A$. Choose the correct answer.

1 $\mathrm{F}_{1}=2 \mathrm{~F}_{2}$
2 $\mathrm{F}_{2}=2 \mathrm{~F}_{1}$
3 $\mathrm{F}_{1}=\mathrm{F}_{2}$
4 $\mathrm{F}_{1}=-\mathrm{F}_{2}$
Moving Charges & Magnetism

153784 A straight conductor carries a current of $5 \mathrm{~A}$. An electron travelling with a speed of $5 \times 10^{6}$ $\mathrm{ms}^{-1}$ parallel to the wire at a distance of $0.1 \mathrm{~m}$ from the conductor, experiences a force of

1 $8 \times 10^{-20} \mathrm{~N}$
2 $3.2 \times 10^{-19} \mathrm{~N}$
3 $8 \times 10^{-18} \mathrm{~N}$
4 $1.6 \times 10^{-19} \mathrm{~N}$
Moving Charges & Magnetism

153785 An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current $I$ along the same direction is shown in figure. Magnitude of force per unit length on the middle wire $B$ is give

1 $\frac{\mu_{0} I^{2}}{2 \pi d}$
2 $\frac{2 \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
3 $\frac{\sqrt{2} \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
4 $\frac{\mu_{0} \mathrm{I}^{2}}{\sqrt{2} \pi \mathrm{d}}$
Moving Charges & Magnetism

153782 Two long straight parallel conductors are carrying currents $i_{1}$ and $i_{2}$ in the same direction. Work done per unit length, when the distance between them is doubled is

1 $2 \times \frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2}$
2 $\frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2} \ln [2]$
3 $\frac{\mu_{0}}{2 \pi} i_{1} i_{2} \ln [4]$
4 0
Moving Charges & Magnetism

153783 $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are parallel conductors of equal lengths carrying currents $I, I$ and $2 I$ respectively. Distance between $A$ and $B$ is $x$.

Distance between $B$ and $C$ is also $x . F_{1}$ is the force exerted by $B$ on $A . F_{2}$ is the force exerted by $C$ on $A$. Choose the correct answer.

1 $\mathrm{F}_{1}=2 \mathrm{~F}_{2}$
2 $\mathrm{F}_{2}=2 \mathrm{~F}_{1}$
3 $\mathrm{F}_{1}=\mathrm{F}_{2}$
4 $\mathrm{F}_{1}=-\mathrm{F}_{2}$
Moving Charges & Magnetism

153784 A straight conductor carries a current of $5 \mathrm{~A}$. An electron travelling with a speed of $5 \times 10^{6}$ $\mathrm{ms}^{-1}$ parallel to the wire at a distance of $0.1 \mathrm{~m}$ from the conductor, experiences a force of

1 $8 \times 10^{-20} \mathrm{~N}$
2 $3.2 \times 10^{-19} \mathrm{~N}$
3 $8 \times 10^{-18} \mathrm{~N}$
4 $1.6 \times 10^{-19} \mathrm{~N}$
Moving Charges & Magnetism

153785 An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current $I$ along the same direction is shown in figure. Magnitude of force per unit length on the middle wire $B$ is give

1 $\frac{\mu_{0} I^{2}}{2 \pi d}$
2 $\frac{2 \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
3 $\frac{\sqrt{2} \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
4 $\frac{\mu_{0} \mathrm{I}^{2}}{\sqrt{2} \pi \mathrm{d}}$
Moving Charges & Magnetism

153782 Two long straight parallel conductors are carrying currents $i_{1}$ and $i_{2}$ in the same direction. Work done per unit length, when the distance between them is doubled is

1 $2 \times \frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2}$
2 $\frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2} \ln [2]$
3 $\frac{\mu_{0}}{2 \pi} i_{1} i_{2} \ln [4]$
4 0
Moving Charges & Magnetism

153783 $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are parallel conductors of equal lengths carrying currents $I, I$ and $2 I$ respectively. Distance between $A$ and $B$ is $x$.

Distance between $B$ and $C$ is also $x . F_{1}$ is the force exerted by $B$ on $A . F_{2}$ is the force exerted by $C$ on $A$. Choose the correct answer.

1 $\mathrm{F}_{1}=2 \mathrm{~F}_{2}$
2 $\mathrm{F}_{2}=2 \mathrm{~F}_{1}$
3 $\mathrm{F}_{1}=\mathrm{F}_{2}$
4 $\mathrm{F}_{1}=-\mathrm{F}_{2}$
Moving Charges & Magnetism

153784 A straight conductor carries a current of $5 \mathrm{~A}$. An electron travelling with a speed of $5 \times 10^{6}$ $\mathrm{ms}^{-1}$ parallel to the wire at a distance of $0.1 \mathrm{~m}$ from the conductor, experiences a force of

1 $8 \times 10^{-20} \mathrm{~N}$
2 $3.2 \times 10^{-19} \mathrm{~N}$
3 $8 \times 10^{-18} \mathrm{~N}$
4 $1.6 \times 10^{-19} \mathrm{~N}$
Moving Charges & Magnetism

153785 An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current $I$ along the same direction is shown in figure. Magnitude of force per unit length on the middle wire $B$ is give

1 $\frac{\mu_{0} I^{2}}{2 \pi d}$
2 $\frac{2 \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
3 $\frac{\sqrt{2} \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
4 $\frac{\mu_{0} \mathrm{I}^{2}}{\sqrt{2} \pi \mathrm{d}}$
Moving Charges & Magnetism

153782 Two long straight parallel conductors are carrying currents $i_{1}$ and $i_{2}$ in the same direction. Work done per unit length, when the distance between them is doubled is

1 $2 \times \frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2}$
2 $\frac{\mu_{0}}{2 \pi} \mathrm{i}_{1} \mathrm{i}_{2} \ln [2]$
3 $\frac{\mu_{0}}{2 \pi} i_{1} i_{2} \ln [4]$
4 0
Moving Charges & Magnetism

153783 $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are parallel conductors of equal lengths carrying currents $I, I$ and $2 I$ respectively. Distance between $A$ and $B$ is $x$.

Distance between $B$ and $C$ is also $x . F_{1}$ is the force exerted by $B$ on $A . F_{2}$ is the force exerted by $C$ on $A$. Choose the correct answer.

1 $\mathrm{F}_{1}=2 \mathrm{~F}_{2}$
2 $\mathrm{F}_{2}=2 \mathrm{~F}_{1}$
3 $\mathrm{F}_{1}=\mathrm{F}_{2}$
4 $\mathrm{F}_{1}=-\mathrm{F}_{2}$
Moving Charges & Magnetism

153784 A straight conductor carries a current of $5 \mathrm{~A}$. An electron travelling with a speed of $5 \times 10^{6}$ $\mathrm{ms}^{-1}$ parallel to the wire at a distance of $0.1 \mathrm{~m}$ from the conductor, experiences a force of

1 $8 \times 10^{-20} \mathrm{~N}$
2 $3.2 \times 10^{-19} \mathrm{~N}$
3 $8 \times 10^{-18} \mathrm{~N}$
4 $1.6 \times 10^{-19} \mathrm{~N}$
Moving Charges & Magnetism

153785 An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current $I$ along the same direction is shown in figure. Magnitude of force per unit length on the middle wire $B$ is give

1 $\frac{\mu_{0} I^{2}}{2 \pi d}$
2 $\frac{2 \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
3 $\frac{\sqrt{2} \mu_{0} \mathrm{I}^{2}}{\pi \mathrm{d}}$
4 $\frac{\mu_{0} \mathrm{I}^{2}}{\sqrt{2} \pi \mathrm{d}}$