Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362557 Two coplanar concentric circular wires made of same material have radius \({R_{1}}\) and \({R_{2}\left(=2 R_{1}\right)}\). The wires carry current due to identical source of emf having no internal resistance. Find the ratio of radii of cross section of the two wires \(\left( {\left. {\frac{{{r_1}}}{{{r_2}}} = ?} \right)} \right.\) if the magnetic induction field at the centre of the circle is zero.

1 0.5
2 1.5
3 0.98
4 0.1
PHXII04:MOVING CHARGES AND MAGNETISM

362558 Equal current \(\mathrm{i}\) follows in two segments of a circular loop in the direction shown in figure. Radius of the loop is \(r\). The magnitude of magnetic field induction at the centre of the loop is
supporting img

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

362559 A circular coil \(A\) of radius \(r\) carries current \(I\). Another circular coil \(B\) of radius 2\(r\) carries current of \(i\). The magnetic fields at the centres of the circular coil are in the ratio of

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

362560 Three rings, each having equal radius \(R\), are placed mutually perpendicular to each other and each having its center at the origin of coordinate system. If a current \(I\) is flowing through each ring, then the magnitude of the magnetic field at the common center is:
supporting img

1 \(\sqrt{3} \dfrac{\mu_{0} I}{2 R}\)
2 \((\sqrt{3}-\sqrt{2}) \dfrac{\mu_{0} I}{2 R}\)
3 Zero
4 \((\sqrt{2}-1) \dfrac{\mu_{0} I}{2 R}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362557 Two coplanar concentric circular wires made of same material have radius \({R_{1}}\) and \({R_{2}\left(=2 R_{1}\right)}\). The wires carry current due to identical source of emf having no internal resistance. Find the ratio of radii of cross section of the two wires \(\left( {\left. {\frac{{{r_1}}}{{{r_2}}} = ?} \right)} \right.\) if the magnetic induction field at the centre of the circle is zero.

1 0.5
2 1.5
3 0.98
4 0.1
PHXII04:MOVING CHARGES AND MAGNETISM

362558 Equal current \(\mathrm{i}\) follows in two segments of a circular loop in the direction shown in figure. Radius of the loop is \(r\). The magnitude of magnetic field induction at the centre of the loop is
supporting img

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

362559 A circular coil \(A\) of radius \(r\) carries current \(I\). Another circular coil \(B\) of radius 2\(r\) carries current of \(i\). The magnetic fields at the centres of the circular coil are in the ratio of

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

362560 Three rings, each having equal radius \(R\), are placed mutually perpendicular to each other and each having its center at the origin of coordinate system. If a current \(I\) is flowing through each ring, then the magnitude of the magnetic field at the common center is:
supporting img

1 \(\sqrt{3} \dfrac{\mu_{0} I}{2 R}\)
2 \((\sqrt{3}-\sqrt{2}) \dfrac{\mu_{0} I}{2 R}\)
3 Zero
4 \((\sqrt{2}-1) \dfrac{\mu_{0} I}{2 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362557 Two coplanar concentric circular wires made of same material have radius \({R_{1}}\) and \({R_{2}\left(=2 R_{1}\right)}\). The wires carry current due to identical source of emf having no internal resistance. Find the ratio of radii of cross section of the two wires \(\left( {\left. {\frac{{{r_1}}}{{{r_2}}} = ?} \right)} \right.\) if the magnetic induction field at the centre of the circle is zero.

1 0.5
2 1.5
3 0.98
4 0.1
PHXII04:MOVING CHARGES AND MAGNETISM

362558 Equal current \(\mathrm{i}\) follows in two segments of a circular loop in the direction shown in figure. Radius of the loop is \(r\). The magnitude of magnetic field induction at the centre of the loop is
supporting img

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

362559 A circular coil \(A\) of radius \(r\) carries current \(I\). Another circular coil \(B\) of radius 2\(r\) carries current of \(i\). The magnetic fields at the centres of the circular coil are in the ratio of

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

362560 Three rings, each having equal radius \(R\), are placed mutually perpendicular to each other and each having its center at the origin of coordinate system. If a current \(I\) is flowing through each ring, then the magnitude of the magnetic field at the common center is:
supporting img

1 \(\sqrt{3} \dfrac{\mu_{0} I}{2 R}\)
2 \((\sqrt{3}-\sqrt{2}) \dfrac{\mu_{0} I}{2 R}\)
3 Zero
4 \((\sqrt{2}-1) \dfrac{\mu_{0} I}{2 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362557 Two coplanar concentric circular wires made of same material have radius \({R_{1}}\) and \({R_{2}\left(=2 R_{1}\right)}\). The wires carry current due to identical source of emf having no internal resistance. Find the ratio of radii of cross section of the two wires \(\left( {\left. {\frac{{{r_1}}}{{{r_2}}} = ?} \right)} \right.\) if the magnetic induction field at the centre of the circle is zero.

1 0.5
2 1.5
3 0.98
4 0.1
PHXII04:MOVING CHARGES AND MAGNETISM

362558 Equal current \(\mathrm{i}\) follows in two segments of a circular loop in the direction shown in figure. Radius of the loop is \(r\). The magnitude of magnetic field induction at the centre of the loop is
supporting img

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

362559 A circular coil \(A\) of radius \(r\) carries current \(I\). Another circular coil \(B\) of radius 2\(r\) carries current of \(i\). The magnetic fields at the centres of the circular coil are in the ratio of

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

362560 Three rings, each having equal radius \(R\), are placed mutually perpendicular to each other and each having its center at the origin of coordinate system. If a current \(I\) is flowing through each ring, then the magnitude of the magnetic field at the common center is:
supporting img

1 \(\sqrt{3} \dfrac{\mu_{0} I}{2 R}\)
2 \((\sqrt{3}-\sqrt{2}) \dfrac{\mu_{0} I}{2 R}\)
3 Zero
4 \((\sqrt{2}-1) \dfrac{\mu_{0} I}{2 R}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here