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

153755 A wire carrying current ' $I$ ' along $x$ axis has length ' $\ell$ ' and it is kept in a magnetic field $\vec{B}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \mathbf{B} \frac{\mathbf{W b}}{\mathrm{m}^{2}}$. The magnitude of magnetic force acting on the wire is

1 $\sqrt{11} \mathrm{I} \ell \mathrm{B}$
2 $\sqrt{15} \mathrm{I} \ell \mathrm{B}$
3 $\sqrt{13} \mathrm{I} \ell \mathrm{B}$
4 $\sqrt{19} \mathrm{I} \ell \mathrm{B}$
Moving Charges & Magnetism

153757 A wire of length ' $L$ ' carries current ' $I$ ' along $x$ axis, A magnetic field $B=B_{0}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathbf{T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

1 $\frac{\mathrm{ILB}_{0}}{2}$
2 I L B $_{0}$
3 $\sqrt{2} \mathrm{ILB}_{0}$
4 ${2} \mathrm{ILB}_{0}$
Moving Charges & Magnetism

153758 A metal wire of length ' $L$ ' is bent to form a circular coil of number of turns ' $n$ '. The coil is placed in magnetic field ' $B$ ' and current is passed through the coil. The maximum torque acting on the coil is

1 $\frac{B^{2} I L}{2 \pi n}$
2 $\frac{\mathrm{BIL}^{2}}{2 \pi \mathrm{n}}$
3 $\frac{\mathrm{BIL}^{2}}{4 \pi \mathrm{n}}$
4 $\frac{B^{2} I L}{4 \pi n}$
Moving Charges & Magnetism

153759 Given figure shows the north and south poles of a permanent magnet in which a coil of $n$ turns of cross-sectional area $A$ is resting, such that when a current $I$ is passed through the coil, the plane of the coil makes and angle $\theta$ with respect to direction of magnetic field $B$. If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

1 $n I A B \cos \theta$
2 $n I A B \sin \theta$
3 nIAB
4 None of the above, since the magnetic field is radial
Moving Charges & Magnetism

153760 A coil of 50 turns carrying a current of $2 \mathrm{~A}$ in a magnetic field of $0.5 T$. The torque acting on the coil is

1 $0.4 \mathrm{Nm}$ clockwise
2 $0.2 \mathrm{Nm}$ anticlockwise
3 $0.4 \mathrm{Nm}$ anticlockwise
4 $0.2 \mathrm{Nm}$ clockwise
5 $0.8 \mathrm{Nm}$ anticlockwise
Moving Charges & Magnetism

153755 A wire carrying current ' $I$ ' along $x$ axis has length ' $\ell$ ' and it is kept in a magnetic field $\vec{B}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \mathbf{B} \frac{\mathbf{W b}}{\mathrm{m}^{2}}$. The magnitude of magnetic force acting on the wire is

1 $\sqrt{11} \mathrm{I} \ell \mathrm{B}$
2 $\sqrt{15} \mathrm{I} \ell \mathrm{B}$
3 $\sqrt{13} \mathrm{I} \ell \mathrm{B}$
4 $\sqrt{19} \mathrm{I} \ell \mathrm{B}$
Moving Charges & Magnetism

153757 A wire of length ' $L$ ' carries current ' $I$ ' along $x$ axis, A magnetic field $B=B_{0}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathbf{T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

1 $\frac{\mathrm{ILB}_{0}}{2}$
2 I L B $_{0}$
3 $\sqrt{2} \mathrm{ILB}_{0}$
4 ${2} \mathrm{ILB}_{0}$
Moving Charges & Magnetism

153758 A metal wire of length ' $L$ ' is bent to form a circular coil of number of turns ' $n$ '. The coil is placed in magnetic field ' $B$ ' and current is passed through the coil. The maximum torque acting on the coil is

1 $\frac{B^{2} I L}{2 \pi n}$
2 $\frac{\mathrm{BIL}^{2}}{2 \pi \mathrm{n}}$
3 $\frac{\mathrm{BIL}^{2}}{4 \pi \mathrm{n}}$
4 $\frac{B^{2} I L}{4 \pi n}$
Moving Charges & Magnetism

153759 Given figure shows the north and south poles of a permanent magnet in which a coil of $n$ turns of cross-sectional area $A$ is resting, such that when a current $I$ is passed through the coil, the plane of the coil makes and angle $\theta$ with respect to direction of magnetic field $B$. If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

1 $n I A B \cos \theta$
2 $n I A B \sin \theta$
3 nIAB
4 None of the above, since the magnetic field is radial
Moving Charges & Magnetism

153760 A coil of 50 turns carrying a current of $2 \mathrm{~A}$ in a magnetic field of $0.5 T$. The torque acting on the coil is

1 $0.4 \mathrm{Nm}$ clockwise
2 $0.2 \mathrm{Nm}$ anticlockwise
3 $0.4 \mathrm{Nm}$ anticlockwise
4 $0.2 \mathrm{Nm}$ clockwise
5 $0.8 \mathrm{Nm}$ anticlockwise
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153755 A wire carrying current ' $I$ ' along $x$ axis has length ' $\ell$ ' and it is kept in a magnetic field $\vec{B}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \mathbf{B} \frac{\mathbf{W b}}{\mathrm{m}^{2}}$. The magnitude of magnetic force acting on the wire is

1 $\sqrt{11} \mathrm{I} \ell \mathrm{B}$
2 $\sqrt{15} \mathrm{I} \ell \mathrm{B}$
3 $\sqrt{13} \mathrm{I} \ell \mathrm{B}$
4 $\sqrt{19} \mathrm{I} \ell \mathrm{B}$
Moving Charges & Magnetism

153757 A wire of length ' $L$ ' carries current ' $I$ ' along $x$ axis, A magnetic field $B=B_{0}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathbf{T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

1 $\frac{\mathrm{ILB}_{0}}{2}$
2 I L B $_{0}$
3 $\sqrt{2} \mathrm{ILB}_{0}$
4 ${2} \mathrm{ILB}_{0}$
Moving Charges & Magnetism

153758 A metal wire of length ' $L$ ' is bent to form a circular coil of number of turns ' $n$ '. The coil is placed in magnetic field ' $B$ ' and current is passed through the coil. The maximum torque acting on the coil is

1 $\frac{B^{2} I L}{2 \pi n}$
2 $\frac{\mathrm{BIL}^{2}}{2 \pi \mathrm{n}}$
3 $\frac{\mathrm{BIL}^{2}}{4 \pi \mathrm{n}}$
4 $\frac{B^{2} I L}{4 \pi n}$
Moving Charges & Magnetism

153759 Given figure shows the north and south poles of a permanent magnet in which a coil of $n$ turns of cross-sectional area $A$ is resting, such that when a current $I$ is passed through the coil, the plane of the coil makes and angle $\theta$ with respect to direction of magnetic field $B$. If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

1 $n I A B \cos \theta$
2 $n I A B \sin \theta$
3 nIAB
4 None of the above, since the magnetic field is radial
Moving Charges & Magnetism

153760 A coil of 50 turns carrying a current of $2 \mathrm{~A}$ in a magnetic field of $0.5 T$. The torque acting on the coil is

1 $0.4 \mathrm{Nm}$ clockwise
2 $0.2 \mathrm{Nm}$ anticlockwise
3 $0.4 \mathrm{Nm}$ anticlockwise
4 $0.2 \mathrm{Nm}$ clockwise
5 $0.8 \mathrm{Nm}$ anticlockwise
Moving Charges & Magnetism

153755 A wire carrying current ' $I$ ' along $x$ axis has length ' $\ell$ ' and it is kept in a magnetic field $\vec{B}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \mathbf{B} \frac{\mathbf{W b}}{\mathrm{m}^{2}}$. The magnitude of magnetic force acting on the wire is

1 $\sqrt{11} \mathrm{I} \ell \mathrm{B}$
2 $\sqrt{15} \mathrm{I} \ell \mathrm{B}$
3 $\sqrt{13} \mathrm{I} \ell \mathrm{B}$
4 $\sqrt{19} \mathrm{I} \ell \mathrm{B}$
Moving Charges & Magnetism

153757 A wire of length ' $L$ ' carries current ' $I$ ' along $x$ axis, A magnetic field $B=B_{0}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathbf{T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

1 $\frac{\mathrm{ILB}_{0}}{2}$
2 I L B $_{0}$
3 $\sqrt{2} \mathrm{ILB}_{0}$
4 ${2} \mathrm{ILB}_{0}$
Moving Charges & Magnetism

153758 A metal wire of length ' $L$ ' is bent to form a circular coil of number of turns ' $n$ '. The coil is placed in magnetic field ' $B$ ' and current is passed through the coil. The maximum torque acting on the coil is

1 $\frac{B^{2} I L}{2 \pi n}$
2 $\frac{\mathrm{BIL}^{2}}{2 \pi \mathrm{n}}$
3 $\frac{\mathrm{BIL}^{2}}{4 \pi \mathrm{n}}$
4 $\frac{B^{2} I L}{4 \pi n}$
Moving Charges & Magnetism

153759 Given figure shows the north and south poles of a permanent magnet in which a coil of $n$ turns of cross-sectional area $A$ is resting, such that when a current $I$ is passed through the coil, the plane of the coil makes and angle $\theta$ with respect to direction of magnetic field $B$. If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

1 $n I A B \cos \theta$
2 $n I A B \sin \theta$
3 nIAB
4 None of the above, since the magnetic field is radial
Moving Charges & Magnetism

153760 A coil of 50 turns carrying a current of $2 \mathrm{~A}$ in a magnetic field of $0.5 T$. The torque acting on the coil is

1 $0.4 \mathrm{Nm}$ clockwise
2 $0.2 \mathrm{Nm}$ anticlockwise
3 $0.4 \mathrm{Nm}$ anticlockwise
4 $0.2 \mathrm{Nm}$ clockwise
5 $0.8 \mathrm{Nm}$ anticlockwise
Moving Charges & Magnetism

153755 A wire carrying current ' $I$ ' along $x$ axis has length ' $\ell$ ' and it is kept in a magnetic field $\vec{B}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}) \mathbf{B} \frac{\mathbf{W b}}{\mathrm{m}^{2}}$. The magnitude of magnetic force acting on the wire is

1 $\sqrt{11} \mathrm{I} \ell \mathrm{B}$
2 $\sqrt{15} \mathrm{I} \ell \mathrm{B}$
3 $\sqrt{13} \mathrm{I} \ell \mathrm{B}$
4 $\sqrt{19} \mathrm{I} \ell \mathrm{B}$
Moving Charges & Magnetism

153757 A wire of length ' $L$ ' carries current ' $I$ ' along $x$ axis, A magnetic field $B=B_{0}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathbf{T}$ acts on the wire. The magnitude of magnetic force acting on the wire is

1 $\frac{\mathrm{ILB}_{0}}{2}$
2 I L B $_{0}$
3 $\sqrt{2} \mathrm{ILB}_{0}$
4 ${2} \mathrm{ILB}_{0}$
Moving Charges & Magnetism

153758 A metal wire of length ' $L$ ' is bent to form a circular coil of number of turns ' $n$ '. The coil is placed in magnetic field ' $B$ ' and current is passed through the coil. The maximum torque acting on the coil is

1 $\frac{B^{2} I L}{2 \pi n}$
2 $\frac{\mathrm{BIL}^{2}}{2 \pi \mathrm{n}}$
3 $\frac{\mathrm{BIL}^{2}}{4 \pi \mathrm{n}}$
4 $\frac{B^{2} I L}{4 \pi n}$
Moving Charges & Magnetism

153759 Given figure shows the north and south poles of a permanent magnet in which a coil of $n$ turns of cross-sectional area $A$ is resting, such that when a current $I$ is passed through the coil, the plane of the coil makes and angle $\theta$ with respect to direction of magnetic field $B$. If the plane of magnetic field and the coil are horizontal and vertical respectively, the torque on the coil will be

1 $n I A B \cos \theta$
2 $n I A B \sin \theta$
3 nIAB
4 None of the above, since the magnetic field is radial
Moving Charges & Magnetism

153760 A coil of 50 turns carrying a current of $2 \mathrm{~A}$ in a magnetic field of $0.5 T$. The torque acting on the coil is

1 $0.4 \mathrm{Nm}$ clockwise
2 $0.2 \mathrm{Nm}$ anticlockwise
3 $0.4 \mathrm{Nm}$ anticlockwise
4 $0.2 \mathrm{Nm}$ clockwise
5 $0.8 \mathrm{Nm}$ anticlockwise