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

153171 Two concentric rings are kept in the same plane. Number of turns in each ring is 25 . Their radii are $50 \mathrm{~cm}$ and $200 \mathrm{~cm}$ and they carry electric currents of $0.1 \mathrm{~A}$ and $0.2 \mathrm{~A}$ respectively, in mutually opposite directions. The magnitude of the magnetic field produced at their centre is T.

1 $4 \mu_{0}$
2 $2 \mu_{0}$
3 $\frac{10}{4} \mu_{0}$
4 $\frac{5}{4} \mu_{0}$
Moving Charges & Magnetism

153172 When a helium nucleus covers a circle of radius $0.8 \mathrm{~m}$ in $2 \mathrm{~s}$, find the value of magnetic field $B$ at the centre of the circle.

1 $\frac{10^{-19}}{\mu_{0}} \mathrm{~T}$
2 $\mu_{0} \times 10^{-19} \mathrm{~T}$
3 $2 \mu_{0} \times 10^{-19} \mathrm{~T}$
4 $\frac{2 \times 10^{-19}}{\mu_{0}} \mathrm{~T}$
Moving Charges & Magnetism

153177 A current $I$ flows in a straight wire bent in the shape of a quarter ring of radius $R$ as shown in figure. The magnetic field induction $B$ at point $\mathbf{O}$ is

1 $\frac{\mu_{0} I}{4 R}$
2 $\frac{\mu_{0} I}{8 R}$
3 $\frac{\mu_{0} I}{2 R}$
4 $\frac{\mu_{0} I}{6 R}$
Moving Charges & Magnetism

153178 Figure below shows three circuits consisting of concentric circular ares and straight radial lines. The centre of the circle is shown by the dot. Same current flows through each of the circuits. If $B_{1}, B_{2}, B_{3}$ are the magnitudes of the magnetic field at the centre. Which of the following is true?

1 $\mathrm{B}_{1}>\mathrm{B}_{2}>\mathrm{B}_{3}$
2 $\mathrm{B}_{1}>\mathrm{B}_{3}>\mathrm{B}_{2}$
3 $\mathrm{B}_{3}>\mathrm{B}_{1}>\mathrm{B}_{2}$
4 $\mathrm{B}_{3}>\mathrm{B}_{2}>\mathrm{B}_{1}$
Moving Charges & Magnetism

153171 Two concentric rings are kept in the same plane. Number of turns in each ring is 25 . Their radii are $50 \mathrm{~cm}$ and $200 \mathrm{~cm}$ and they carry electric currents of $0.1 \mathrm{~A}$ and $0.2 \mathrm{~A}$ respectively, in mutually opposite directions. The magnitude of the magnetic field produced at their centre is T.

1 $4 \mu_{0}$
2 $2 \mu_{0}$
3 $\frac{10}{4} \mu_{0}$
4 $\frac{5}{4} \mu_{0}$
Moving Charges & Magnetism

153172 When a helium nucleus covers a circle of radius $0.8 \mathrm{~m}$ in $2 \mathrm{~s}$, find the value of magnetic field $B$ at the centre of the circle.

1 $\frac{10^{-19}}{\mu_{0}} \mathrm{~T}$
2 $\mu_{0} \times 10^{-19} \mathrm{~T}$
3 $2 \mu_{0} \times 10^{-19} \mathrm{~T}$
4 $\frac{2 \times 10^{-19}}{\mu_{0}} \mathrm{~T}$
Moving Charges & Magnetism

153177 A current $I$ flows in a straight wire bent in the shape of a quarter ring of radius $R$ as shown in figure. The magnetic field induction $B$ at point $\mathbf{O}$ is

1 $\frac{\mu_{0} I}{4 R}$
2 $\frac{\mu_{0} I}{8 R}$
3 $\frac{\mu_{0} I}{2 R}$
4 $\frac{\mu_{0} I}{6 R}$
Moving Charges & Magnetism

153178 Figure below shows three circuits consisting of concentric circular ares and straight radial lines. The centre of the circle is shown by the dot. Same current flows through each of the circuits. If $B_{1}, B_{2}, B_{3}$ are the magnitudes of the magnetic field at the centre. Which of the following is true?

1 $\mathrm{B}_{1}>\mathrm{B}_{2}>\mathrm{B}_{3}$
2 $\mathrm{B}_{1}>\mathrm{B}_{3}>\mathrm{B}_{2}$
3 $\mathrm{B}_{3}>\mathrm{B}_{1}>\mathrm{B}_{2}$
4 $\mathrm{B}_{3}>\mathrm{B}_{2}>\mathrm{B}_{1}$
Moving Charges & Magnetism

153171 Two concentric rings are kept in the same plane. Number of turns in each ring is 25 . Their radii are $50 \mathrm{~cm}$ and $200 \mathrm{~cm}$ and they carry electric currents of $0.1 \mathrm{~A}$ and $0.2 \mathrm{~A}$ respectively, in mutually opposite directions. The magnitude of the magnetic field produced at their centre is T.

1 $4 \mu_{0}$
2 $2 \mu_{0}$
3 $\frac{10}{4} \mu_{0}$
4 $\frac{5}{4} \mu_{0}$
Moving Charges & Magnetism

153172 When a helium nucleus covers a circle of radius $0.8 \mathrm{~m}$ in $2 \mathrm{~s}$, find the value of magnetic field $B$ at the centre of the circle.

1 $\frac{10^{-19}}{\mu_{0}} \mathrm{~T}$
2 $\mu_{0} \times 10^{-19} \mathrm{~T}$
3 $2 \mu_{0} \times 10^{-19} \mathrm{~T}$
4 $\frac{2 \times 10^{-19}}{\mu_{0}} \mathrm{~T}$
Moving Charges & Magnetism

153177 A current $I$ flows in a straight wire bent in the shape of a quarter ring of radius $R$ as shown in figure. The magnetic field induction $B$ at point $\mathbf{O}$ is

1 $\frac{\mu_{0} I}{4 R}$
2 $\frac{\mu_{0} I}{8 R}$
3 $\frac{\mu_{0} I}{2 R}$
4 $\frac{\mu_{0} I}{6 R}$
Moving Charges & Magnetism

153178 Figure below shows three circuits consisting of concentric circular ares and straight radial lines. The centre of the circle is shown by the dot. Same current flows through each of the circuits. If $B_{1}, B_{2}, B_{3}$ are the magnitudes of the magnetic field at the centre. Which of the following is true?

1 $\mathrm{B}_{1}>\mathrm{B}_{2}>\mathrm{B}_{3}$
2 $\mathrm{B}_{1}>\mathrm{B}_{3}>\mathrm{B}_{2}$
3 $\mathrm{B}_{3}>\mathrm{B}_{1}>\mathrm{B}_{2}$
4 $\mathrm{B}_{3}>\mathrm{B}_{2}>\mathrm{B}_{1}$
Moving Charges & Magnetism

153171 Two concentric rings are kept in the same plane. Number of turns in each ring is 25 . Their radii are $50 \mathrm{~cm}$ and $200 \mathrm{~cm}$ and they carry electric currents of $0.1 \mathrm{~A}$ and $0.2 \mathrm{~A}$ respectively, in mutually opposite directions. The magnitude of the magnetic field produced at their centre is T.

1 $4 \mu_{0}$
2 $2 \mu_{0}$
3 $\frac{10}{4} \mu_{0}$
4 $\frac{5}{4} \mu_{0}$
Moving Charges & Magnetism

153172 When a helium nucleus covers a circle of radius $0.8 \mathrm{~m}$ in $2 \mathrm{~s}$, find the value of magnetic field $B$ at the centre of the circle.

1 $\frac{10^{-19}}{\mu_{0}} \mathrm{~T}$
2 $\mu_{0} \times 10^{-19} \mathrm{~T}$
3 $2 \mu_{0} \times 10^{-19} \mathrm{~T}$
4 $\frac{2 \times 10^{-19}}{\mu_{0}} \mathrm{~T}$
Moving Charges & Magnetism

153177 A current $I$ flows in a straight wire bent in the shape of a quarter ring of radius $R$ as shown in figure. The magnetic field induction $B$ at point $\mathbf{O}$ is

1 $\frac{\mu_{0} I}{4 R}$
2 $\frac{\mu_{0} I}{8 R}$
3 $\frac{\mu_{0} I}{2 R}$
4 $\frac{\mu_{0} I}{6 R}$
Moving Charges & Magnetism

153178 Figure below shows three circuits consisting of concentric circular ares and straight radial lines. The centre of the circle is shown by the dot. Same current flows through each of the circuits. If $B_{1}, B_{2}, B_{3}$ are the magnitudes of the magnetic field at the centre. Which of the following is true?

1 $\mathrm{B}_{1}>\mathrm{B}_{2}>\mathrm{B}_{3}$
2 $\mathrm{B}_{1}>\mathrm{B}_{3}>\mathrm{B}_{2}$
3 $\mathrm{B}_{3}>\mathrm{B}_{1}>\mathrm{B}_{2}$
4 $\mathrm{B}_{3}>\mathrm{B}_{2}>\mathrm{B}_{1}$