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

153345 Which one of the following is not true?

1 Ampere's law is : f $\overrightarrow{\mathrm{B}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}=\mu_{\mathrm{o}} \mathrm{i}_{\text {enc }}$
2 Faraday's law is : $\mathrm{e}=-\mathrm{e}_{\mathrm{o}} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
3 Biot-Savart law is : $\mathrm{d} \overrightarrow{\mathrm{B}}=\frac{\mu_{\mathrm{o}} \mathrm{i}}{4 \pi} \frac{\mathrm{d} \overrightarrow{\mathrm{s}} \times \overrightarrow{\mathrm{r}}}{\mathrm{r}^{3}}$
4 Gauss's law is : $\varepsilon_{\mathrm{o}} f \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\mathrm{q}$
Moving Charges & Magnetism

153351 A charged particle moves through a magnetic field in a direction perpendicular to it. Then, the

1 acceleration remains unchanged
2 velocity remains unchanged
3 speed of the particle remains uncahnged
4 direction of the particle remains unchanged
Moving Charges & Magnetism

153354 A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

1 Speed will decrease
2 Speed will increase
3 will turn towards left of direction of motion
4 Will turn towards right of direction of motion
Moving Charges & Magnetism

153360 An electron moving in a circular orbit of radius $r$ makes $n$ rotations per second. The magnetic field produced at the centre has magnitude

1 $\frac{\mu_{0} \mathrm{ne}}{2 \pi \mathrm{r}}$
2 Zero
3 $\frac{\mu_{0} n^{2} \mathrm{e}}{\mathrm{r}}$
4 $\frac{\mu_{0} \mathrm{ne}}{2 \mathrm{r}}$
Moving Charges & Magnetism

153371 A bar magnet is placed inside a uniform magnetic field. What does it experience?

1 A force
2 A torque
3 Both a force and a torque
4 Neither a force nor a torque
Moving Charges & Magnetism

153345 Which one of the following is not true?

1 Ampere's law is : f $\overrightarrow{\mathrm{B}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}=\mu_{\mathrm{o}} \mathrm{i}_{\text {enc }}$
2 Faraday's law is : $\mathrm{e}=-\mathrm{e}_{\mathrm{o}} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
3 Biot-Savart law is : $\mathrm{d} \overrightarrow{\mathrm{B}}=\frac{\mu_{\mathrm{o}} \mathrm{i}}{4 \pi} \frac{\mathrm{d} \overrightarrow{\mathrm{s}} \times \overrightarrow{\mathrm{r}}}{\mathrm{r}^{3}}$
4 Gauss's law is : $\varepsilon_{\mathrm{o}} f \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\mathrm{q}$
Moving Charges & Magnetism

153351 A charged particle moves through a magnetic field in a direction perpendicular to it. Then, the

1 acceleration remains unchanged
2 velocity remains unchanged
3 speed of the particle remains uncahnged
4 direction of the particle remains unchanged
Moving Charges & Magnetism

153354 A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

1 Speed will decrease
2 Speed will increase
3 will turn towards left of direction of motion
4 Will turn towards right of direction of motion
Moving Charges & Magnetism

153360 An electron moving in a circular orbit of radius $r$ makes $n$ rotations per second. The magnetic field produced at the centre has magnitude

1 $\frac{\mu_{0} \mathrm{ne}}{2 \pi \mathrm{r}}$
2 Zero
3 $\frac{\mu_{0} n^{2} \mathrm{e}}{\mathrm{r}}$
4 $\frac{\mu_{0} \mathrm{ne}}{2 \mathrm{r}}$
Moving Charges & Magnetism

153371 A bar magnet is placed inside a uniform magnetic field. What does it experience?

1 A force
2 A torque
3 Both a force and a torque
4 Neither a force nor a torque
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Moving Charges & Magnetism

153345 Which one of the following is not true?

1 Ampere's law is : f $\overrightarrow{\mathrm{B}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}=\mu_{\mathrm{o}} \mathrm{i}_{\text {enc }}$
2 Faraday's law is : $\mathrm{e}=-\mathrm{e}_{\mathrm{o}} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
3 Biot-Savart law is : $\mathrm{d} \overrightarrow{\mathrm{B}}=\frac{\mu_{\mathrm{o}} \mathrm{i}}{4 \pi} \frac{\mathrm{d} \overrightarrow{\mathrm{s}} \times \overrightarrow{\mathrm{r}}}{\mathrm{r}^{3}}$
4 Gauss's law is : $\varepsilon_{\mathrm{o}} f \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\mathrm{q}$
Moving Charges & Magnetism

153351 A charged particle moves through a magnetic field in a direction perpendicular to it. Then, the

1 acceleration remains unchanged
2 velocity remains unchanged
3 speed of the particle remains uncahnged
4 direction of the particle remains unchanged
Moving Charges & Magnetism

153354 A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

1 Speed will decrease
2 Speed will increase
3 will turn towards left of direction of motion
4 Will turn towards right of direction of motion
Moving Charges & Magnetism

153360 An electron moving in a circular orbit of radius $r$ makes $n$ rotations per second. The magnetic field produced at the centre has magnitude

1 $\frac{\mu_{0} \mathrm{ne}}{2 \pi \mathrm{r}}$
2 Zero
3 $\frac{\mu_{0} n^{2} \mathrm{e}}{\mathrm{r}}$
4 $\frac{\mu_{0} \mathrm{ne}}{2 \mathrm{r}}$
Moving Charges & Magnetism

153371 A bar magnet is placed inside a uniform magnetic field. What does it experience?

1 A force
2 A torque
3 Both a force and a torque
4 Neither a force nor a torque
Moving Charges & Magnetism

153345 Which one of the following is not true?

1 Ampere's law is : f $\overrightarrow{\mathrm{B}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}=\mu_{\mathrm{o}} \mathrm{i}_{\text {enc }}$
2 Faraday's law is : $\mathrm{e}=-\mathrm{e}_{\mathrm{o}} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
3 Biot-Savart law is : $\mathrm{d} \overrightarrow{\mathrm{B}}=\frac{\mu_{\mathrm{o}} \mathrm{i}}{4 \pi} \frac{\mathrm{d} \overrightarrow{\mathrm{s}} \times \overrightarrow{\mathrm{r}}}{\mathrm{r}^{3}}$
4 Gauss's law is : $\varepsilon_{\mathrm{o}} f \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\mathrm{q}$
Moving Charges & Magnetism

153351 A charged particle moves through a magnetic field in a direction perpendicular to it. Then, the

1 acceleration remains unchanged
2 velocity remains unchanged
3 speed of the particle remains uncahnged
4 direction of the particle remains unchanged
Moving Charges & Magnetism

153354 A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

1 Speed will decrease
2 Speed will increase
3 will turn towards left of direction of motion
4 Will turn towards right of direction of motion
Moving Charges & Magnetism

153360 An electron moving in a circular orbit of radius $r$ makes $n$ rotations per second. The magnetic field produced at the centre has magnitude

1 $\frac{\mu_{0} \mathrm{ne}}{2 \pi \mathrm{r}}$
2 Zero
3 $\frac{\mu_{0} n^{2} \mathrm{e}}{\mathrm{r}}$
4 $\frac{\mu_{0} \mathrm{ne}}{2 \mathrm{r}}$
Moving Charges & Magnetism

153371 A bar magnet is placed inside a uniform magnetic field. What does it experience?

1 A force
2 A torque
3 Both a force and a torque
4 Neither a force nor a torque
Moving Charges & Magnetism

153345 Which one of the following is not true?

1 Ampere's law is : f $\overrightarrow{\mathrm{B}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}=\mu_{\mathrm{o}} \mathrm{i}_{\text {enc }}$
2 Faraday's law is : $\mathrm{e}=-\mathrm{e}_{\mathrm{o}} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
3 Biot-Savart law is : $\mathrm{d} \overrightarrow{\mathrm{B}}=\frac{\mu_{\mathrm{o}} \mathrm{i}}{4 \pi} \frac{\mathrm{d} \overrightarrow{\mathrm{s}} \times \overrightarrow{\mathrm{r}}}{\mathrm{r}^{3}}$
4 Gauss's law is : $\varepsilon_{\mathrm{o}} f \overrightarrow{\mathrm{E}} \cdot \mathrm{d} \overrightarrow{\mathrm{A}}=\mathrm{q}$
Moving Charges & Magnetism

153351 A charged particle moves through a magnetic field in a direction perpendicular to it. Then, the

1 acceleration remains unchanged
2 velocity remains unchanged
3 speed of the particle remains uncahnged
4 direction of the particle remains unchanged
Moving Charges & Magnetism

153354 A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

1 Speed will decrease
2 Speed will increase
3 will turn towards left of direction of motion
4 Will turn towards right of direction of motion
Moving Charges & Magnetism

153360 An electron moving in a circular orbit of radius $r$ makes $n$ rotations per second. The magnetic field produced at the centre has magnitude

1 $\frac{\mu_{0} \mathrm{ne}}{2 \pi \mathrm{r}}$
2 Zero
3 $\frac{\mu_{0} n^{2} \mathrm{e}}{\mathrm{r}}$
4 $\frac{\mu_{0} \mathrm{ne}}{2 \mathrm{r}}$
Moving Charges & Magnetism

153371 A bar magnet is placed inside a uniform magnetic field. What does it experience?

1 A force
2 A torque
3 Both a force and a torque
4 Neither a force nor a torque