Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362596 In the given figure the magnetic induction at the point \(O\) is
supporting img

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

362597 A circular coil of radius \(R\) is carrying a current \(I_{1}\) in anti clock wise sense. A long straight wire is carrying current \(I_{2}\) in the negative direction of X - axis. Both are placed in the same plane and the distance between centre of coil and straight wire is \(d\). The magnetic field at the centre of coil will be zero for the value of \(d\) equal to

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

362598 In the diagram, \(I_{1}, I_{2}\) are the strength of the currents in the loop and straight conductors respectively.\(OA = OB = R\). The net magnetic field at the centre \(O\) is zero.Then the ratio of the currents in the loop and the straight conductors is
supporting img

1 \(\pi\)
2 \(2 \pi\)
3 \(1 / \pi\)
4 \(1 / 2 \pi\)
PHXII04:MOVING CHARGES AND MAGNETISM

362599 A wire carrying current \({i}\) has the configuration shown in figure. Two semi-infinite straight sections, each tangent to the same circle, are connected by a circular arc, of angle \({\theta}\), along the circumference of the circle, with all sections lying in the same plane. What must \({\theta}\) be in order for \({B}\) to be zero at the center of circle?
supporting img

1 \(1\,rad\)
2 \(5\,rad\)
3 \(2\,rad\)
4 \(8\,rad\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362596 In the given figure the magnetic induction at the point \(O\) is
supporting img

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

362597 A circular coil of radius \(R\) is carrying a current \(I_{1}\) in anti clock wise sense. A long straight wire is carrying current \(I_{2}\) in the negative direction of X - axis. Both are placed in the same plane and the distance between centre of coil and straight wire is \(d\). The magnetic field at the centre of coil will be zero for the value of \(d\) equal to

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

362598 In the diagram, \(I_{1}, I_{2}\) are the strength of the currents in the loop and straight conductors respectively.\(OA = OB = R\). The net magnetic field at the centre \(O\) is zero.Then the ratio of the currents in the loop and the straight conductors is
supporting img

1 \(\pi\)
2 \(2 \pi\)
3 \(1 / \pi\)
4 \(1 / 2 \pi\)
PHXII04:MOVING CHARGES AND MAGNETISM

362599 A wire carrying current \({i}\) has the configuration shown in figure. Two semi-infinite straight sections, each tangent to the same circle, are connected by a circular arc, of angle \({\theta}\), along the circumference of the circle, with all sections lying in the same plane. What must \({\theta}\) be in order for \({B}\) to be zero at the center of circle?
supporting img

1 \(1\,rad\)
2 \(5\,rad\)
3 \(2\,rad\)
4 \(8\,rad\)
PHXII04:MOVING CHARGES AND MAGNETISM

362596 In the given figure the magnetic induction at the point \(O\) is
supporting img

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

362597 A circular coil of radius \(R\) is carrying a current \(I_{1}\) in anti clock wise sense. A long straight wire is carrying current \(I_{2}\) in the negative direction of X - axis. Both are placed in the same plane and the distance between centre of coil and straight wire is \(d\). The magnetic field at the centre of coil will be zero for the value of \(d\) equal to

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

362598 In the diagram, \(I_{1}, I_{2}\) are the strength of the currents in the loop and straight conductors respectively.\(OA = OB = R\). The net magnetic field at the centre \(O\) is zero.Then the ratio of the currents in the loop and the straight conductors is
supporting img

1 \(\pi\)
2 \(2 \pi\)
3 \(1 / \pi\)
4 \(1 / 2 \pi\)
PHXII04:MOVING CHARGES AND MAGNETISM

362599 A wire carrying current \({i}\) has the configuration shown in figure. Two semi-infinite straight sections, each tangent to the same circle, are connected by a circular arc, of angle \({\theta}\), along the circumference of the circle, with all sections lying in the same plane. What must \({\theta}\) be in order for \({B}\) to be zero at the center of circle?
supporting img

1 \(1\,rad\)
2 \(5\,rad\)
3 \(2\,rad\)
4 \(8\,rad\)
PHXII04:MOVING CHARGES AND MAGNETISM

362596 In the given figure the magnetic induction at the point \(O\) is
supporting img

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

362597 A circular coil of radius \(R\) is carrying a current \(I_{1}\) in anti clock wise sense. A long straight wire is carrying current \(I_{2}\) in the negative direction of X - axis. Both are placed in the same plane and the distance between centre of coil and straight wire is \(d\). The magnetic field at the centre of coil will be zero for the value of \(d\) equal to

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

362598 In the diagram, \(I_{1}, I_{2}\) are the strength of the currents in the loop and straight conductors respectively.\(OA = OB = R\). The net magnetic field at the centre \(O\) is zero.Then the ratio of the currents in the loop and the straight conductors is
supporting img

1 \(\pi\)
2 \(2 \pi\)
3 \(1 / \pi\)
4 \(1 / 2 \pi\)
PHXII04:MOVING CHARGES AND MAGNETISM

362599 A wire carrying current \({i}\) has the configuration shown in figure. Two semi-infinite straight sections, each tangent to the same circle, are connected by a circular arc, of angle \({\theta}\), along the circumference of the circle, with all sections lying in the same plane. What must \({\theta}\) be in order for \({B}\) to be zero at the center of circle?
supporting img

1 \(1\,rad\)
2 \(5\,rad\)
3 \(2\,rad\)
4 \(8\,rad\)