00. Biot-Savart's Law and Magnetic Field, Lorentz Force
Moving Charges & Magnetism

153337 An electron moves at right angle to a magnetic field of $1.5 \times 10^{-2} \mathrm{~T}$ with a speed of $6 \times 10^{7} \mathrm{~m} / \mathrm{s}$. If the specific charge of the electron is $1.7 \times 10^{11} \mathrm{C} / \mathrm{kg}$. The radius of the circular path will be

1 $2.9 \mathrm{~cm}$
2 $3.9 \mathrm{~cm}$
3 $2.35 \mathrm{~cm}$
4 $2 \mathrm{~cm}$
Moving Charges & Magnetism

153338 Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown.

1 $1: \sqrt{2}$
2 $1: 3$
3 $1: 2$
4 $\sqrt{3}: 1$
Moving Charges & Magnetism

153341 A current carrying loop is placed in a uniform magnetic field in four different orientations I, II, III, and IV as shown in figure. Arrange them in decreasing order of potential energy.

1 I $>$ III $>$ II $>$ IV
2 I $>$ II $>$ III $>$ IV
3 I $>$ IV $>$ II $>$ III
4 III $>$ IV $>$ I $>$ II
Moving Charges & Magnetism

153342 The parts of two concentric circular ares joined by two radial lines and carries current $i$. the arcs subtend an angle $\theta$ at the centre of the circle. The magnetic field at the centre $O$, is

1 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{4 \pi \mathrm{ab}}$
2 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{(\pi-\theta)}$
3 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{\pi \mathrm{ab}}$
4 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{2 \pi \mathrm{ab}}$
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Moving Charges & Magnetism

153337 An electron moves at right angle to a magnetic field of $1.5 \times 10^{-2} \mathrm{~T}$ with a speed of $6 \times 10^{7} \mathrm{~m} / \mathrm{s}$. If the specific charge of the electron is $1.7 \times 10^{11} \mathrm{C} / \mathrm{kg}$. The radius of the circular path will be

1 $2.9 \mathrm{~cm}$
2 $3.9 \mathrm{~cm}$
3 $2.35 \mathrm{~cm}$
4 $2 \mathrm{~cm}$
Moving Charges & Magnetism

153338 Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown.

1 $1: \sqrt{2}$
2 $1: 3$
3 $1: 2$
4 $\sqrt{3}: 1$
Moving Charges & Magnetism

153341 A current carrying loop is placed in a uniform magnetic field in four different orientations I, II, III, and IV as shown in figure. Arrange them in decreasing order of potential energy.

1 I $>$ III $>$ II $>$ IV
2 I $>$ II $>$ III $>$ IV
3 I $>$ IV $>$ II $>$ III
4 III $>$ IV $>$ I $>$ II
Moving Charges & Magnetism

153342 The parts of two concentric circular ares joined by two radial lines and carries current $i$. the arcs subtend an angle $\theta$ at the centre of the circle. The magnetic field at the centre $O$, is

1 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{4 \pi \mathrm{ab}}$
2 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{(\pi-\theta)}$
3 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{\pi \mathrm{ab}}$
4 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{2 \pi \mathrm{ab}}$
Moving Charges & Magnetism

153337 An electron moves at right angle to a magnetic field of $1.5 \times 10^{-2} \mathrm{~T}$ with a speed of $6 \times 10^{7} \mathrm{~m} / \mathrm{s}$. If the specific charge of the electron is $1.7 \times 10^{11} \mathrm{C} / \mathrm{kg}$. The radius of the circular path will be

1 $2.9 \mathrm{~cm}$
2 $3.9 \mathrm{~cm}$
3 $2.35 \mathrm{~cm}$
4 $2 \mathrm{~cm}$
Moving Charges & Magnetism

153338 Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown.

1 $1: \sqrt{2}$
2 $1: 3$
3 $1: 2$
4 $\sqrt{3}: 1$
Moving Charges & Magnetism

153341 A current carrying loop is placed in a uniform magnetic field in four different orientations I, II, III, and IV as shown in figure. Arrange them in decreasing order of potential energy.

1 I $>$ III $>$ II $>$ IV
2 I $>$ II $>$ III $>$ IV
3 I $>$ IV $>$ II $>$ III
4 III $>$ IV $>$ I $>$ II
Moving Charges & Magnetism

153342 The parts of two concentric circular ares joined by two radial lines and carries current $i$. the arcs subtend an angle $\theta$ at the centre of the circle. The magnetic field at the centre $O$, is

1 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{4 \pi \mathrm{ab}}$
2 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{(\pi-\theta)}$
3 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{\pi \mathrm{ab}}$
4 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{2 \pi \mathrm{ab}}$
Moving Charges & Magnetism

153337 An electron moves at right angle to a magnetic field of $1.5 \times 10^{-2} \mathrm{~T}$ with a speed of $6 \times 10^{7} \mathrm{~m} / \mathrm{s}$. If the specific charge of the electron is $1.7 \times 10^{11} \mathrm{C} / \mathrm{kg}$. The radius of the circular path will be

1 $2.9 \mathrm{~cm}$
2 $3.9 \mathrm{~cm}$
3 $2.35 \mathrm{~cm}$
4 $2 \mathrm{~cm}$
Moving Charges & Magnetism

153338 Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field through both coils, if the same current is flown.

1 $1: \sqrt{2}$
2 $1: 3$
3 $1: 2$
4 $\sqrt{3}: 1$
Moving Charges & Magnetism

153341 A current carrying loop is placed in a uniform magnetic field in four different orientations I, II, III, and IV as shown in figure. Arrange them in decreasing order of potential energy.

1 I $>$ III $>$ II $>$ IV
2 I $>$ II $>$ III $>$ IV
3 I $>$ IV $>$ II $>$ III
4 III $>$ IV $>$ I $>$ II
Moving Charges & Magnetism

153342 The parts of two concentric circular ares joined by two radial lines and carries current $i$. the arcs subtend an angle $\theta$ at the centre of the circle. The magnetic field at the centre $O$, is

1 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{4 \pi \mathrm{ab}}$
2 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{(\pi-\theta)}$
3 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a}) \theta}{\pi \mathrm{ab}}$
4 $\frac{\mu_{0} \mathrm{i}(\mathrm{b}-\mathrm{a})}{2 \pi \mathrm{ab}}$