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

153113 Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires.

1 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{1}{\pi}\right)$
2 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{2}{\pi}\right)$
3 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{\pi}\right)$
4 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)$
Moving Charges & Magnetism

153114 Two long straight wires $P$ and $Q$ carrying equal current $10 \mathrm{~A}$ each were kept parallel to each other at $5 \mathrm{~cm}$ distance. Magnitude of magnetic force experienced by $10 \mathrm{~cm}$ length of wire $p$ is
$F_{1}$. If distance between wires is halved and currents on them are doubled, force $F_{2}$ on 10 cm length of wire $P$ will be:

1 $10 \mathrm{~F}_{1}$
2 $8 \mathrm{~F}_{1}$
3 $\frac{F_{1}}{8}$
4 $\frac{F_{1}}{10}$
Moving Charges & Magnetism

153116 A single current carrying loop of wire carrying current $I$ flowing in anticlockwise direction seen from +ve $z$ direction and lying in xy plane is shown in figure. The plot of $\hat{\mathbf{j}}$ component of magnetic field $\left(B_{y}\right)$ at a distance ' $a$ ' (less than radius of the coil ) and on $y z$ plane vs z coordinate looks like

1
2
3
4
Moving Charges & Magnetism

153117 As shown in the figure, a long straight conductor with semi-circular arc of radius $\frac{\pi}{10} \mathrm{~m}$ is carrying current $\mathrm{I}=3 \mathrm{~A}$, The magnitude of the magnetic field at the center $O$ of the arc is:
(The permeability of the vacuum $=4 \pi \times 10^{-7}$ $\mathrm{NA}^{-2}$ )

1 $6 \mu \mathrm{T}$
2 $4 \mu \mathrm{T}$
3 $3 \mu \mathrm{T}$
4 $1 \mu \mathrm{T}$
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Moving Charges & Magnetism

153113 Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires.

1 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{1}{\pi}\right)$
2 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{2}{\pi}\right)$
3 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{\pi}\right)$
4 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)$
Moving Charges & Magnetism

153114 Two long straight wires $P$ and $Q$ carrying equal current $10 \mathrm{~A}$ each were kept parallel to each other at $5 \mathrm{~cm}$ distance. Magnitude of magnetic force experienced by $10 \mathrm{~cm}$ length of wire $p$ is
$F_{1}$. If distance between wires is halved and currents on them are doubled, force $F_{2}$ on 10 cm length of wire $P$ will be:

1 $10 \mathrm{~F}_{1}$
2 $8 \mathrm{~F}_{1}$
3 $\frac{F_{1}}{8}$
4 $\frac{F_{1}}{10}$
Moving Charges & Magnetism

153116 A single current carrying loop of wire carrying current $I$ flowing in anticlockwise direction seen from +ve $z$ direction and lying in xy plane is shown in figure. The plot of $\hat{\mathbf{j}}$ component of magnetic field $\left(B_{y}\right)$ at a distance ' $a$ ' (less than radius of the coil ) and on $y z$ plane vs z coordinate looks like

1
2
3
4
Moving Charges & Magnetism

153117 As shown in the figure, a long straight conductor with semi-circular arc of radius $\frac{\pi}{10} \mathrm{~m}$ is carrying current $\mathrm{I}=3 \mathrm{~A}$, The magnitude of the magnetic field at the center $O$ of the arc is:
(The permeability of the vacuum $=4 \pi \times 10^{-7}$ $\mathrm{NA}^{-2}$ )

1 $6 \mu \mathrm{T}$
2 $4 \mu \mathrm{T}$
3 $3 \mu \mathrm{T}$
4 $1 \mu \mathrm{T}$
Moving Charges & Magnetism

153113 Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires.

1 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{1}{\pi}\right)$
2 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{2}{\pi}\right)$
3 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{\pi}\right)$
4 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)$
Moving Charges & Magnetism

153114 Two long straight wires $P$ and $Q$ carrying equal current $10 \mathrm{~A}$ each were kept parallel to each other at $5 \mathrm{~cm}$ distance. Magnitude of magnetic force experienced by $10 \mathrm{~cm}$ length of wire $p$ is
$F_{1}$. If distance between wires is halved and currents on them are doubled, force $F_{2}$ on 10 cm length of wire $P$ will be:

1 $10 \mathrm{~F}_{1}$
2 $8 \mathrm{~F}_{1}$
3 $\frac{F_{1}}{8}$
4 $\frac{F_{1}}{10}$
Moving Charges & Magnetism

153116 A single current carrying loop of wire carrying current $I$ flowing in anticlockwise direction seen from +ve $z$ direction and lying in xy plane is shown in figure. The plot of $\hat{\mathbf{j}}$ component of magnetic field $\left(B_{y}\right)$ at a distance ' $a$ ' (less than radius of the coil ) and on $y z$ plane vs z coordinate looks like

1
2
3
4
Moving Charges & Magnetism

153117 As shown in the figure, a long straight conductor with semi-circular arc of radius $\frac{\pi}{10} \mathrm{~m}$ is carrying current $\mathrm{I}=3 \mathrm{~A}$, The magnitude of the magnetic field at the center $O$ of the arc is:
(The permeability of the vacuum $=4 \pi \times 10^{-7}$ $\mathrm{NA}^{-2}$ )

1 $6 \mu \mathrm{T}$
2 $4 \mu \mathrm{T}$
3 $3 \mu \mathrm{T}$
4 $1 \mu \mathrm{T}$
Moving Charges & Magnetism

153113 Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires.

1 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{1}{\pi}\right)$
2 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(1+\frac{2}{\pi}\right)$
3 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{\pi}\right)$
4 $\frac{\mu_{0} \mathrm{i}}{2 \mathrm{r}}\left(\frac{1}{2}+\frac{1}{2 \pi}\right)$
Moving Charges & Magnetism

153114 Two long straight wires $P$ and $Q$ carrying equal current $10 \mathrm{~A}$ each were kept parallel to each other at $5 \mathrm{~cm}$ distance. Magnitude of magnetic force experienced by $10 \mathrm{~cm}$ length of wire $p$ is
$F_{1}$. If distance between wires is halved and currents on them are doubled, force $F_{2}$ on 10 cm length of wire $P$ will be:

1 $10 \mathrm{~F}_{1}$
2 $8 \mathrm{~F}_{1}$
3 $\frac{F_{1}}{8}$
4 $\frac{F_{1}}{10}$
Moving Charges & Magnetism

153116 A single current carrying loop of wire carrying current $I$ flowing in anticlockwise direction seen from +ve $z$ direction and lying in xy plane is shown in figure. The plot of $\hat{\mathbf{j}}$ component of magnetic field $\left(B_{y}\right)$ at a distance ' $a$ ' (less than radius of the coil ) and on $y z$ plane vs z coordinate looks like

1
2
3
4
Moving Charges & Magnetism

153117 As shown in the figure, a long straight conductor with semi-circular arc of radius $\frac{\pi}{10} \mathrm{~m}$ is carrying current $\mathrm{I}=3 \mathrm{~A}$, The magnitude of the magnetic field at the center $O$ of the arc is:
(The permeability of the vacuum $=4 \pi \times 10^{-7}$ $\mathrm{NA}^{-2}$ )

1 $6 \mu \mathrm{T}$
2 $4 \mu \mathrm{T}$
3 $3 \mu \mathrm{T}$
4 $1 \mu \mathrm{T}$