362635
An element, \(d l=d x \hat{i}\) (where \(dx = 1\;cm)\) is placed at the origin and carries a large current \(i = 10\;{\rm{A}}\). The magnetic field on the \(y-\) axis at \(y = 0.5\;m\) is
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
Explanation:
The Biot-Savart law in vector form is \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
KCET - 2018
PHXII04:MOVING CHARGES AND MAGNETISM
362637
Assertion : When the observation point lies along the length of the current element, magnetic field is zero. Reason : Magnetic field close to curent element is zero.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
when the observation point lies along (say \(x\)-axis) the length \(l\) of a current element, the magnetic field is nonzero and at its maximum. But value of \(B\) on \(x\)-axis \(=0\). So correct option is (3).
PHXII04:MOVING CHARGES AND MAGNETISM
362638
For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be
1 \(0^{\circ}\)
2 \(90^{\circ}\)
3 \(180^{\circ}\)
4 \(45^{\circ}\)
Explanation:
The magnetic field due to small element conductor of length is given by \(d B=\dfrac{\mu_{0}}{4 \pi} \cdot \dfrac{i d l \sin \theta}{r^{2}}\) This value will be maximum when \(\begin{aligned}\sin \theta & =1=\sin 90^{\circ} \\\theta & =90^{\circ}\end{aligned}\)
362635
An element, \(d l=d x \hat{i}\) (where \(dx = 1\;cm)\) is placed at the origin and carries a large current \(i = 10\;{\rm{A}}\). The magnetic field on the \(y-\) axis at \(y = 0.5\;m\) is
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
Explanation:
The Biot-Savart law in vector form is \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
KCET - 2018
PHXII04:MOVING CHARGES AND MAGNETISM
362637
Assertion : When the observation point lies along the length of the current element, magnetic field is zero. Reason : Magnetic field close to curent element is zero.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
when the observation point lies along (say \(x\)-axis) the length \(l\) of a current element, the magnetic field is nonzero and at its maximum. But value of \(B\) on \(x\)-axis \(=0\). So correct option is (3).
PHXII04:MOVING CHARGES AND MAGNETISM
362638
For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be
1 \(0^{\circ}\)
2 \(90^{\circ}\)
3 \(180^{\circ}\)
4 \(45^{\circ}\)
Explanation:
The magnetic field due to small element conductor of length is given by \(d B=\dfrac{\mu_{0}}{4 \pi} \cdot \dfrac{i d l \sin \theta}{r^{2}}\) This value will be maximum when \(\begin{aligned}\sin \theta & =1=\sin 90^{\circ} \\\theta & =90^{\circ}\end{aligned}\)
362635
An element, \(d l=d x \hat{i}\) (where \(dx = 1\;cm)\) is placed at the origin and carries a large current \(i = 10\;{\rm{A}}\). The magnetic field on the \(y-\) axis at \(y = 0.5\;m\) is
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
Explanation:
The Biot-Savart law in vector form is \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
KCET - 2018
PHXII04:MOVING CHARGES AND MAGNETISM
362637
Assertion : When the observation point lies along the length of the current element, magnetic field is zero. Reason : Magnetic field close to curent element is zero.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
when the observation point lies along (say \(x\)-axis) the length \(l\) of a current element, the magnetic field is nonzero and at its maximum. But value of \(B\) on \(x\)-axis \(=0\). So correct option is (3).
PHXII04:MOVING CHARGES AND MAGNETISM
362638
For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be
1 \(0^{\circ}\)
2 \(90^{\circ}\)
3 \(180^{\circ}\)
4 \(45^{\circ}\)
Explanation:
The magnetic field due to small element conductor of length is given by \(d B=\dfrac{\mu_{0}}{4 \pi} \cdot \dfrac{i d l \sin \theta}{r^{2}}\) This value will be maximum when \(\begin{aligned}\sin \theta & =1=\sin 90^{\circ} \\\theta & =90^{\circ}\end{aligned}\)
362635
An element, \(d l=d x \hat{i}\) (where \(dx = 1\;cm)\) is placed at the origin and carries a large current \(i = 10\;{\rm{A}}\). The magnetic field on the \(y-\) axis at \(y = 0.5\;m\) is
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
Explanation:
The Biot-Savart law in vector form is \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
KCET - 2018
PHXII04:MOVING CHARGES AND MAGNETISM
362637
Assertion : When the observation point lies along the length of the current element, magnetic field is zero. Reason : Magnetic field close to curent element is zero.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
when the observation point lies along (say \(x\)-axis) the length \(l\) of a current element, the magnetic field is nonzero and at its maximum. But value of \(B\) on \(x\)-axis \(=0\). So correct option is (3).
PHXII04:MOVING CHARGES AND MAGNETISM
362638
For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be
1 \(0^{\circ}\)
2 \(90^{\circ}\)
3 \(180^{\circ}\)
4 \(45^{\circ}\)
Explanation:
The magnetic field due to small element conductor of length is given by \(d B=\dfrac{\mu_{0}}{4 \pi} \cdot \dfrac{i d l \sin \theta}{r^{2}}\) This value will be maximum when \(\begin{aligned}\sin \theta & =1=\sin 90^{\circ} \\\theta & =90^{\circ}\end{aligned}\)
362635
An element, \(d l=d x \hat{i}\) (where \(dx = 1\;cm)\) is placed at the origin and carries a large current \(i = 10\;{\rm{A}}\). The magnetic field on the \(y-\) axis at \(y = 0.5\;m\) is
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
Explanation:
The Biot-Savart law in vector form is \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
KCET - 2018
PHXII04:MOVING CHARGES AND MAGNETISM
362637
Assertion : When the observation point lies along the length of the current element, magnetic field is zero. Reason : Magnetic field close to curent element is zero.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
when the observation point lies along (say \(x\)-axis) the length \(l\) of a current element, the magnetic field is nonzero and at its maximum. But value of \(B\) on \(x\)-axis \(=0\). So correct option is (3).
PHXII04:MOVING CHARGES AND MAGNETISM
362638
For the magnetic field to be maximum due to a small element of current carrying conductor at a point, the angle between the element and the line joining the element to the given point must be
1 \(0^{\circ}\)
2 \(90^{\circ}\)
3 \(180^{\circ}\)
4 \(45^{\circ}\)
Explanation:
The magnetic field due to small element conductor of length is given by \(d B=\dfrac{\mu_{0}}{4 \pi} \cdot \dfrac{i d l \sin \theta}{r^{2}}\) This value will be maximum when \(\begin{aligned}\sin \theta & =1=\sin 90^{\circ} \\\theta & =90^{\circ}\end{aligned}\)