Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362634 Magnetic field at the centre of a coil in the form of a square of side 2\(cm\) carrying a current of 1.414\(A\) is:

1 \(8 \times {10^{ - 5}}\;T\)
2 \(18 \times {10^{ - 5}}\;T\)
3 \(1.5 \times {10^{ - 5}}\;T\)
4 \(6 \times {10^{ - 5}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

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

1 \(-4 \times 10^{-8} \hat{k} T\)
2 \(4 \times 10^{-8} \hat{k} T\)
3 \(2 \times 10^{-8} \hat{k} T\)
4 \(-2 \times 10^{-8} \hat{k} T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362636 The correct Biot- Savart law in vector form is

1 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{2}}\)
2 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
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.
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 \(45^{\circ}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362634 Magnetic field at the centre of a coil in the form of a square of side 2\(cm\) carrying a current of 1.414\(A\) is:

1 \(8 \times {10^{ - 5}}\;T\)
2 \(18 \times {10^{ - 5}}\;T\)
3 \(1.5 \times {10^{ - 5}}\;T\)
4 \(6 \times {10^{ - 5}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

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

1 \(-4 \times 10^{-8} \hat{k} T\)
2 \(4 \times 10^{-8} \hat{k} T\)
3 \(2 \times 10^{-8} \hat{k} T\)
4 \(-2 \times 10^{-8} \hat{k} T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362636 The correct Biot- Savart law in vector form is

1 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{2}}\)
2 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
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.
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 \(45^{\circ}\)
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PHXII04:MOVING CHARGES AND MAGNETISM

362634 Magnetic field at the centre of a coil in the form of a square of side 2\(cm\) carrying a current of 1.414\(A\) is:

1 \(8 \times {10^{ - 5}}\;T\)
2 \(18 \times {10^{ - 5}}\;T\)
3 \(1.5 \times {10^{ - 5}}\;T\)
4 \(6 \times {10^{ - 5}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

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

1 \(-4 \times 10^{-8} \hat{k} T\)
2 \(4 \times 10^{-8} \hat{k} T\)
3 \(2 \times 10^{-8} \hat{k} T\)
4 \(-2 \times 10^{-8} \hat{k} T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362636 The correct Biot- Savart law in vector form is

1 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{2}}\)
2 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
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.
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 \(45^{\circ}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362634 Magnetic field at the centre of a coil in the form of a square of side 2\(cm\) carrying a current of 1.414\(A\) is:

1 \(8 \times {10^{ - 5}}\;T\)
2 \(18 \times {10^{ - 5}}\;T\)
3 \(1.5 \times {10^{ - 5}}\;T\)
4 \(6 \times {10^{ - 5}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

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

1 \(-4 \times 10^{-8} \hat{k} T\)
2 \(4 \times 10^{-8} \hat{k} T\)
3 \(2 \times 10^{-8} \hat{k} T\)
4 \(-2 \times 10^{-8} \hat{k} T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362636 The correct Biot- Savart law in vector form is

1 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{2}}\)
2 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
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.
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 \(45^{\circ}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362634 Magnetic field at the centre of a coil in the form of a square of side 2\(cm\) carrying a current of 1.414\(A\) is:

1 \(8 \times {10^{ - 5}}\;T\)
2 \(18 \times {10^{ - 5}}\;T\)
3 \(1.5 \times {10^{ - 5}}\;T\)
4 \(6 \times {10^{ - 5}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

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

1 \(-4 \times 10^{-8} \hat{k} T\)
2 \(4 \times 10^{-8} \hat{k} T\)
3 \(2 \times 10^{-8} \hat{k} T\)
4 \(-2 \times 10^{-8} \hat{k} T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362636 The correct Biot- Savart law in vector form is

1 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{2}}\)
2 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I(d \vec{l} \times \vec{r})}{r^{3}}\)
3 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{2}}\)
4 \(d \vec{B}=\dfrac{\mu_{0}}{4 \pi} \dfrac{I d \vec{l}}{r^{3}}\)
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.
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 \(45^{\circ}\)