Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362591 Circular loop of a wire and a long straight wire carry currents \(I_{c}\) and \(I_{e}\), respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation \(H\) is
supporting img

1 \(\dfrac{I_{e} R}{I_{c} \pi}\)
2 \(\dfrac{I_{e} \pi}{I_{c} R}\)
3 \(\dfrac{I_{e} R}{I_{e} \pi}\)
4 \(\dfrac{\pi I_{c}}{I_{e} R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362592 As shown in the figure, a long straight conductor with semi-circular arc of radius \(\dfrac{\pi}{10} m\) is carrying current \(I = 3\;A\). The magnitude of the magnetic field at the center \(O\) of the arc is
(The permeability of the vacuum \(=4 \pi \times 10^{-7} N A^{-2}\))
supporting img

1 \(6 \mu T\)
2 \(4 \mu T\)
3 \(3 \mu T\)
4 \(1 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362593 Current \('I'\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the elngth of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{\pi }{2} + 1} \right)\)
2 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{\pi }{2} - 1} \right)\)
3 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} + 1} \right)\)
4 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} - 1} \right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362594 In the figure shown, the magnetic field at the point \(\mathrm{p}\) is
supporting img

1 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
2 \(\dfrac{\mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
3 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
4 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362595 Current ' \(I\) ' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}-1\right)\)
2 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}-1\right)\)
3 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}+1\right)\)
4 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}+1\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362591 Circular loop of a wire and a long straight wire carry currents \(I_{c}\) and \(I_{e}\), respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation \(H\) is
supporting img

1 \(\dfrac{I_{e} R}{I_{c} \pi}\)
2 \(\dfrac{I_{e} \pi}{I_{c} R}\)
3 \(\dfrac{I_{e} R}{I_{e} \pi}\)
4 \(\dfrac{\pi I_{c}}{I_{e} R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362592 As shown in the figure, a long straight conductor with semi-circular arc of radius \(\dfrac{\pi}{10} m\) is carrying current \(I = 3\;A\). The magnitude of the magnetic field at the center \(O\) of the arc is
(The permeability of the vacuum \(=4 \pi \times 10^{-7} N A^{-2}\))
supporting img

1 \(6 \mu T\)
2 \(4 \mu T\)
3 \(3 \mu T\)
4 \(1 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362593 Current \('I'\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the elngth of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{\pi }{2} + 1} \right)\)
2 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{\pi }{2} - 1} \right)\)
3 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} + 1} \right)\)
4 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} - 1} \right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362594 In the figure shown, the magnetic field at the point \(\mathrm{p}\) is
supporting img

1 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
2 \(\dfrac{\mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
3 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
4 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362595 Current ' \(I\) ' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}-1\right)\)
2 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}-1\right)\)
3 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}+1\right)\)
4 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}+1\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362591 Circular loop of a wire and a long straight wire carry currents \(I_{c}\) and \(I_{e}\), respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation \(H\) is
supporting img

1 \(\dfrac{I_{e} R}{I_{c} \pi}\)
2 \(\dfrac{I_{e} \pi}{I_{c} R}\)
3 \(\dfrac{I_{e} R}{I_{e} \pi}\)
4 \(\dfrac{\pi I_{c}}{I_{e} R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362592 As shown in the figure, a long straight conductor with semi-circular arc of radius \(\dfrac{\pi}{10} m\) is carrying current \(I = 3\;A\). The magnitude of the magnetic field at the center \(O\) of the arc is
(The permeability of the vacuum \(=4 \pi \times 10^{-7} N A^{-2}\))
supporting img

1 \(6 \mu T\)
2 \(4 \mu T\)
3 \(3 \mu T\)
4 \(1 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362593 Current \('I'\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the elngth of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{\pi }{2} + 1} \right)\)
2 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{\pi }{2} - 1} \right)\)
3 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} + 1} \right)\)
4 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} - 1} \right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362594 In the figure shown, the magnetic field at the point \(\mathrm{p}\) is
supporting img

1 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
2 \(\dfrac{\mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
3 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
4 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362595 Current ' \(I\) ' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}-1\right)\)
2 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}-1\right)\)
3 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}+1\right)\)
4 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}+1\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362591 Circular loop of a wire and a long straight wire carry currents \(I_{c}\) and \(I_{e}\), respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation \(H\) is
supporting img

1 \(\dfrac{I_{e} R}{I_{c} \pi}\)
2 \(\dfrac{I_{e} \pi}{I_{c} R}\)
3 \(\dfrac{I_{e} R}{I_{e} \pi}\)
4 \(\dfrac{\pi I_{c}}{I_{e} R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362592 As shown in the figure, a long straight conductor with semi-circular arc of radius \(\dfrac{\pi}{10} m\) is carrying current \(I = 3\;A\). The magnitude of the magnetic field at the center \(O\) of the arc is
(The permeability of the vacuum \(=4 \pi \times 10^{-7} N A^{-2}\))
supporting img

1 \(6 \mu T\)
2 \(4 \mu T\)
3 \(3 \mu T\)
4 \(1 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362593 Current \('I'\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the elngth of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{\pi }{2} + 1} \right)\)
2 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{\pi }{2} - 1} \right)\)
3 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} + 1} \right)\)
4 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} - 1} \right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362594 In the figure shown, the magnetic field at the point \(\mathrm{p}\) is
supporting img

1 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
2 \(\dfrac{\mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
3 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
4 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362595 Current ' \(I\) ' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}-1\right)\)
2 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}-1\right)\)
3 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}+1\right)\)
4 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}+1\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362591 Circular loop of a wire and a long straight wire carry currents \(I_{c}\) and \(I_{e}\), respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation \(H\) is
supporting img

1 \(\dfrac{I_{e} R}{I_{c} \pi}\)
2 \(\dfrac{I_{e} \pi}{I_{c} R}\)
3 \(\dfrac{I_{e} R}{I_{e} \pi}\)
4 \(\dfrac{\pi I_{c}}{I_{e} R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362592 As shown in the figure, a long straight conductor with semi-circular arc of radius \(\dfrac{\pi}{10} m\) is carrying current \(I = 3\;A\). The magnitude of the magnetic field at the center \(O\) of the arc is
(The permeability of the vacuum \(=4 \pi \times 10^{-7} N A^{-2}\))
supporting img

1 \(6 \mu T\)
2 \(4 \mu T\)
3 \(3 \mu T\)
4 \(1 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362593 Current \('I'\) is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the elngth of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{\pi }{2} + 1} \right)\)
2 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{\pi }{2} - 1} \right)\)
3 \(\frac{{{\mu _o}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} + 1} \right)\)
4 \(\frac{{{\mu _0}I}}{{4\pi r}}\left( {\frac{{3\pi }}{2} - 1} \right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362594 In the figure shown, the magnetic field at the point \(\mathrm{p}\) is
supporting img

1 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
2 \(\dfrac{\mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
3 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4-\pi^{2}}\)
4 \(\dfrac{2 \mu_{0} i}{3 \pi a} \sqrt{4+\pi^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362595 Current ' \(I\) ' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is \(r\) and the length of straight portion is very large. The value of the magnetic field at the centre \(O\) will be
supporting img

1 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}-1\right)\)
2 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}-1\right)\)
3 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{3 \pi}{2}+1\right)\)
4 \(\dfrac{\mu_{0} I}{4 \pi r}\left(\dfrac{\pi}{2}+1\right)\)