362600
Two long straight wires are connected by a circular section which has a radius \(R\). All the three segments lie in the same plane and carry a current \(I\). The magnetic induction at the centre \(O\) of the circular segments is.
1 \(\dfrac{\mu_{0} I}{4 \pi R}\)
2 \(\dfrac{\alpha \mu_{0} I}{4 \pi R}\)
3 \(\dfrac{\alpha \mu_{0} I}{2 \pi R}\)
4 \(\dfrac{\alpha \mu_{0} I}{R}\)
Explanation:
Magnetic field due \(AB\) and \(CD\) is zero. Magnetic field due \(B C=\dfrac{\mu_{o} I \alpha}{4 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362601
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to \(X\)-axis while semicircular protion of radius \(R\) is lying in \(YZ\) plane. Magnetic field at a point \(O\) is
362603
Figure shows the circular coil carrying current I kept very close but not touching at a point \(A\) on a straight conductor carrying the same current I. The magnitude of magnetic induction at the centre of the circular coil will be
Magnetic induction at the centre of circular current carrying loop, \(B_{1}=\dfrac{\mu_{0} i}{2 r}\) (downward direction) Magnetic induction at the centre \(O\) due to straight wire \(B_{2}=\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) (upward direction) Net magnetic induction at \(O\) \(B=B_{1}-B_{2}=\dfrac{\mu_{0} i}{2 r}-\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) \(=\dfrac{\mu_{0} i}{2 r}\left[1-\dfrac{1}{\pi}\right][\) downward direction \(]\)
362600
Two long straight wires are connected by a circular section which has a radius \(R\). All the three segments lie in the same plane and carry a current \(I\). The magnetic induction at the centre \(O\) of the circular segments is.
1 \(\dfrac{\mu_{0} I}{4 \pi R}\)
2 \(\dfrac{\alpha \mu_{0} I}{4 \pi R}\)
3 \(\dfrac{\alpha \mu_{0} I}{2 \pi R}\)
4 \(\dfrac{\alpha \mu_{0} I}{R}\)
Explanation:
Magnetic field due \(AB\) and \(CD\) is zero. Magnetic field due \(B C=\dfrac{\mu_{o} I \alpha}{4 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362601
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to \(X\)-axis while semicircular protion of radius \(R\) is lying in \(YZ\) plane. Magnetic field at a point \(O\) is
362603
Figure shows the circular coil carrying current I kept very close but not touching at a point \(A\) on a straight conductor carrying the same current I. The magnitude of magnetic induction at the centre of the circular coil will be
Magnetic induction at the centre of circular current carrying loop, \(B_{1}=\dfrac{\mu_{0} i}{2 r}\) (downward direction) Magnetic induction at the centre \(O\) due to straight wire \(B_{2}=\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) (upward direction) Net magnetic induction at \(O\) \(B=B_{1}-B_{2}=\dfrac{\mu_{0} i}{2 r}-\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) \(=\dfrac{\mu_{0} i}{2 r}\left[1-\dfrac{1}{\pi}\right][\) downward direction \(]\)
362600
Two long straight wires are connected by a circular section which has a radius \(R\). All the three segments lie in the same plane and carry a current \(I\). The magnetic induction at the centre \(O\) of the circular segments is.
1 \(\dfrac{\mu_{0} I}{4 \pi R}\)
2 \(\dfrac{\alpha \mu_{0} I}{4 \pi R}\)
3 \(\dfrac{\alpha \mu_{0} I}{2 \pi R}\)
4 \(\dfrac{\alpha \mu_{0} I}{R}\)
Explanation:
Magnetic field due \(AB\) and \(CD\) is zero. Magnetic field due \(B C=\dfrac{\mu_{o} I \alpha}{4 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362601
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to \(X\)-axis while semicircular protion of radius \(R\) is lying in \(YZ\) plane. Magnetic field at a point \(O\) is
362603
Figure shows the circular coil carrying current I kept very close but not touching at a point \(A\) on a straight conductor carrying the same current I. The magnitude of magnetic induction at the centre of the circular coil will be
Magnetic induction at the centre of circular current carrying loop, \(B_{1}=\dfrac{\mu_{0} i}{2 r}\) (downward direction) Magnetic induction at the centre \(O\) due to straight wire \(B_{2}=\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) (upward direction) Net magnetic induction at \(O\) \(B=B_{1}-B_{2}=\dfrac{\mu_{0} i}{2 r}-\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) \(=\dfrac{\mu_{0} i}{2 r}\left[1-\dfrac{1}{\pi}\right][\) downward direction \(]\)
362600
Two long straight wires are connected by a circular section which has a radius \(R\). All the three segments lie in the same plane and carry a current \(I\). The magnetic induction at the centre \(O\) of the circular segments is.
1 \(\dfrac{\mu_{0} I}{4 \pi R}\)
2 \(\dfrac{\alpha \mu_{0} I}{4 \pi R}\)
3 \(\dfrac{\alpha \mu_{0} I}{2 \pi R}\)
4 \(\dfrac{\alpha \mu_{0} I}{R}\)
Explanation:
Magnetic field due \(AB\) and \(CD\) is zero. Magnetic field due \(B C=\dfrac{\mu_{o} I \alpha}{4 \pi R}\)
PHXII04:MOVING CHARGES AND MAGNETISM
362601
A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to \(X\)-axis while semicircular protion of radius \(R\) is lying in \(YZ\) plane. Magnetic field at a point \(O\) is
362603
Figure shows the circular coil carrying current I kept very close but not touching at a point \(A\) on a straight conductor carrying the same current I. The magnitude of magnetic induction at the centre of the circular coil will be
Magnetic induction at the centre of circular current carrying loop, \(B_{1}=\dfrac{\mu_{0} i}{2 r}\) (downward direction) Magnetic induction at the centre \(O\) due to straight wire \(B_{2}=\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) (upward direction) Net magnetic induction at \(O\) \(B=B_{1}-B_{2}=\dfrac{\mu_{0} i}{2 r}-\dfrac{\mu_{0}}{2 \pi} \dfrac{i}{r}\) \(=\dfrac{\mu_{0} i}{2 r}\left[1-\dfrac{1}{\pi}\right][\) downward direction \(]\)
